Volume 40 Issue 7
Jul 2026
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Article Contents
LI Shiqiang, LI Zihao, WANG Zhihua, LU Guoxing. Research Progress on Design Strategies and Impact Resistance of Heterogeneous Cellular Structures Material[J]. Chinese Journal of High Pressure Physics, 2026, 40(7): 070102. doi: 10.11858/gywlxb.20261041
Citation: LI Shiqiang, LI Zihao, WANG Zhihua, LU Guoxing. Research Progress on Design Strategies and Impact Resistance of Heterogeneous Cellular Structures Material[J]. Chinese Journal of High Pressure Physics, 2026, 40(7): 070102. doi: 10.11858/gywlxb.20261041

Research Progress on Design Strategies and Impact Resistance of Heterogeneous Cellular Structures Material

doi: 10.11858/gywlxb.20261041
  • Received Date: 06 Mar 2026
  • Rev Recd Date: 01 Apr 2026
  • Available Online: 03 Apr 2026
  • Issue Publish Date: 05 Jul 2026
  • As lightweight and high-strength functional-structural integrated materials, cellular structural materials are widely applied in aerospace, automotive manufacturing, and biomedical fields. However, traditional single-configuration cellular materials (e.g., honeycomb structures and point-lattice lattices) gradually exhibit performance limitations under complex conditions such as impact shock waves, multi-directional impacts, or nonlinear deformations. Against this backdrop, heterogeneous cellular structure material (HCSM) have emerged as a research hot pot in impact protection. This paper systematically reviews recent design strategies and impact resistance performance of HCSM. HCSMs are primarily categorized into two types: topological configuration heterogeneity (including complementary and enhanced fusion) and material heterogeneity (e.g., filling with foam materials and shear-thickening materials). Through innovative “functional fusion” approaches, they overcome the performance bottlenecks of single-configuration cellular materials. The study further elucidates the synergistic reinforcement effects and deformation mechanisms of HCSM under impact loads, while analyzing their intrinsic mechanisms for improving energy absorption efficiency, stiffness, and stability. Despite significant progress in HCSM research, challenges remain in connectivity optimization, additive manufacturing process compatibility, complex condition validation, and multifunctional integration. Going forward, the integration of artificial intelligence and machine learning technologies holds promise for achieving end-to-end optimization of HCSMs from design to manufacturing, thereby providing new directions for developing next-generation high-performance impact-resistant structural materials.

     

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  • [1]
    LI S H, YANG R, SUN S Y, et al. Advances in the analysis of honeycomb structures: a comprehensive review [J]. Composites Part B: Engineering, 2025, 296: 112208. doi: 10.1016/j.compositesb.2025.112208
    [2]
    MIAO X, HU J X, XU Y Y, et al. Review on mechanical properties of metal lattice structures [J]. Composite Structures, 2024, 342: 118267. doi: 10.1016/j.compstruct.2024.118267
    [3]
    YIN H F, ZHANG W Z, ZHU L C, et al. Review on lattice structures for energy absorption properties [J]. Composite Structures, 2023, 304(Pt 1): 116397.
    [4]
    CHARKAOUI A, HASSAN N M, BAHROUN Z. Enhancing mechanical properties of cellular core sandwich panels: a review of topological parameters and design improvements [J]. Materials Research Express, 2023, 10(10): 102001. doi: 10.1088/2053-1591/acfb60
    [5]
    SAHU S K, SREEKANTH P S R, REDDY S V K. A brief review on advanced sandwich structures with customized design core and composite face sheet [J]. Polymers, 2022, 14(20): 4267. doi: 10.3390/polym14204267
    [6]
    MOHAMMADI H, AHMAD Z, PETRŮ M, et al. An insight from nature: honeycomb pattern in advanced structural design for impact energy absorption [J]. Journal of Materials Research and Technology, 2023, 22: 2862–2887. doi: 10.1016/j.jmrt.2022.12.063
    [7]
    CHORDIYA Y M, GOEL M D, MATSAGAR V A. Sandwich panels with honeycomb and foam cores subjected to blast and impact load: a revisit to past work [J]. Archives of Computational Methods in Engineering, 2023, 30(4): 2355–2381. doi: 10.1007/s11831-022-09869-7
    [8]
    KAMBLE Z. Advanced structural and multi-functional sandwich composites with prismatic and foam cores: a review [J]. Polymer Composites, 2024, 45(18): 16355–16382. doi: 10.1002/PC.27849
    [9]
    SINGH P, SHEIKH J, BEHERA B K. Metal-faced sandwich composite panels: a review [J]. Thin-Walled Structures, 2024, 195: 111376. doi: 10.1016/j.tws.2023.111376
    [10]
    YU Z, SAVINOV R, MATURA M, et al. Current research status on advanced lattice structures for impact and energy absorption applications: a systematic review [J]. Thin-Walled Structures, 2025, 215: 113490. doi: 10.1016/j.tws.2025.113490
    [11]
    CHEN C Q, HE Y L, CHEN Y L, et al. Impact dynamics of mechanical metamaterials: a short review and perspective [J]. Forces in Mechanics, 2025, 21: 100335. doi: 10.1016/j.finmec.2025.100335
    [12]
    HARITHSA S N, HIREMATH S S. A review on crashworthiness of hierarchical and fractal multicellular structures: state of the art and prospects [J]. Composite Structures, 2025, 368: 119278. doi: 10.1016/j.compstruct.2025.119278
    [13]
    CHEN D, GAO K, YANG J, et al. Functionally graded porous structures: analyses, performances, and applications—a review [J]. Thin-Walled Structures, 2023, 191: 111046. doi: 10.1016/j.tws.2023.111046
    [14]
    MA N F, HAN Q, HAN S H, et al. Hierarchical re-entrant honeycomb metamaterial for energy absorption and vibration insulation [J]. International Journal of Mechanical Sciences, 2023, 250: 108307. doi: 10.1016/j.ijmecsci.2023.108307
    [15]
    VELOSO F, GOMES-FONSECA J, MORAIS P, et al. Overview of methods and software for the design of functionally graded lattice structures [J]. Advanced Engineering Materials, 2022, 24(11): 2200483. doi: 10.1002/adem.202200483
    [16]
    WANG G X, LIU F Y, DENG X L. In-plane mechanical behavior design of triangular gradient rib honeycombs [J]. Thin-Walled Structures, 2024, 205: 112415. doi: 10.1016/j.tws.2024.112415
    [17]
    FENG G Z, LI S, XIAO L J, et al. Mechanical properties and deformation behavior of functionally graded TPMS structures under static and dynamic loading [J]. International Journal of Impact Engineering, 2023, 176: 104554. doi: 10.1016/j.ijimpeng.2023.104554
    [18]
    WANG W J, ZHANG W M, GUO M F, et al. Energy absorption characteristics of a lightweight auxetic honeycomb under low-velocity impact loading [J]. Thin-Walled Structures, 2023, 185: 110577. doi: 10.1016/j.tws.2023.110577
    [19]
    YUE L, LIU H, CHENG Z Q, et al. Dynamic crushing behavior of a novel bi-directional gradient lattice structure under axial and oblique impact loadings [J]. Thin-Walled Structures, 2024, 198: 111697. doi: 10.1016/j.tws.2024.111697
    [20]
    YU X, DING J H, LIU P, et al. Design of hierarchical surface lattice microstructures with isotropic stiffness, strength and energy absorption [J]. Composite Structures, 2025, 373: 119645. doi: 10.1016/j.compstruct.2025.119645
    [21]
    WU J C, YANG F, LI L B, et al. Multi-feature bionic gradient hierarchical lattice metamaterials with multi-synergistic crushing mechanisms [J]. International Journal of Mechanical Sciences, 2024, 283: 109383. doi: 10.1016/j.ijmecsci.2024.109383
    [22]
    CUI C Y, CHEN L, FENG S, et al. Novel cuttlebone-inspired hierarchical bionic structure enabled high energy absorption [J]. Thin-Walled Structures, 2023, 186: 110693. doi: 10.1016/j.tws.2023.110693
    [23]
    WANG Y J, XU F, GAO H J, et al. Elastically isotropic truss-plate-hybrid hierarchical microlattices with enhanced modulus and strength [J]. Small, 2023, 19(18): 2206024. doi: 10.1002/smll.202206024
    [24]
    WANG G X, CAI Z Z, DENG X L. In-plane dynamic impact mechanical properties of novel bi-directional hierarchical honeycomb [J]. Engineering Fracture Mechanics, 2024, 300: 110009. doi: 10.1016/j.engfracmech.2024.110009
    [25]
    HE Y C, BI Z F, WANG T T, et al. Design and mechanical properties analysis of hexagonal perforated honeycomb metamaterial [J]. International Journal of Mechanical Sciences, 2024, 270: 109091. doi: 10.1016/j.ijmecsci.2024.109091
    [26]
    DU PLESSIS A, RAZAVI N, BENEDETTI M, et al. Properties and applications of additively manufactured metallic cellular materials: a review [J]. Progress in Materials Science, 2022, 125: 100918. doi: 10.1016/j.pmatsci.2021.100918
    [27]
    JING S K, LI W, MA G H, et al. Enhancing mechanical properties of 3D printing metallic lattice structure inspired by bambusa emeiensis [J]. Materials, 2023, 16(7): 2545. doi: 10.3390/ma16072545
    [28]
    ZHU G H, WEN D W, WEI L L, et al. Mechanical performances of novel cosine function cell-based metallic lattice structures under quasi-static compressive loading [J]. Composite Structures, 2023, 314: 116962. doi: 10.1016/j.compstruct.2023.116962
    [29]
    DESHPANDE V S, ASHBY M F, FLECK N A. Foam topology: bending versus stretching dominated architectures [J]. Acta Materialia, 2001, 49(6): 1035–1040. doi: 10.1016/S1359-6454(00)00379-7
    [30]
    TANCOGNE-DEJEAN T, SPIERINGS A B, MOHR D. Additively-manufactured metallic micro-lattice materials for high specific energy absorption under static and dynamic loading [J]. Acta Materialia, 2016, 116: 14–28. doi: 10.1016/j.actamat.2016.05.054
    [31]
    MOHSENIZADEH M, GASBARRI F, MUNTHER M, et al. Additively-manufactured lightweight metamaterials for energy absorption [J]. Materials & Design, 2018, 139: 521–530. doi: 10.1016/j.matdes.2017.11.037
    [32]
    CHEN X Y, TAN H F. An effective length model for octet lattice [J]. International Journal of Mechanical Sciences, 2018, 140: 279–287. doi: 10.1016/j.ijmecsci.2018.03.016
    [33]
    GÜMRÜK R, MINES R A W. Compressive behaviour of stainless steel micro-lattice structures [J]. International Journal of Mechanical Sciences, 2013, 68: 125–139. doi: 10.1016/j.ijmecsci.2013.01.006
    [34]
    XIAO L J, SONG W D, WANG C, et al. Mechanical properties of open-cell rhombic dodecahedron titanium alloy lattice structure manufactured using electron beam melting under dynamic loading [J]. International Journal of Impact Engineering, 2017, 100: 75–89. doi: 10.1016/j.ijimpeng.2016.10.006
    [35]
    NEFF C, HOPKINSON N, CRANE N B. Experimental and analytical investigation of mechanical behavior of laser-sintered diamond-lattice structures [J]. Additive Manufacturing, 2018, 22: 807–816. doi: 10.1016/j.addma.2018.07.005
    [36]
    SUN Z P, GUO Y B, SHIM V P W. Characterisation and modeling of additively-manufactured polymeric hybrid lattice structures for energy absorption [J]. International Journal of Mechanical Sciences, 2021, 191: 106101. doi: 10.1016/j.ijmecsci.2020.106101
    [37]
    XIAO L J, XU X, FENG G Z, et al. Compressive performance and energy absorption of additively manufactured metallic hybrid lattice structures [J]. International Journal of Mechanical Sciences, 2022, 219: 107093. doi: 10.1016/j.ijmecsci.2022.107093
    [38]
    LI S, ZHU H G, FENG G Z, et al. Influence mechanism of cell-arrangement strategy on energy absorption of dual-phase hybrid lattice structure [J]. International Journal of Impact Engineering, 2023, 175: 104528. doi: 10.1016/j.ijimpeng.2023.104528
    [39]
    SUN Z P, HUA T, ZHANG J J, et al. Crushing patterns and energy absorption characteristics of additively manufactured metallic lattices subjected to different loading directions [J]. Composite Structures, 2025, 357: 118953. doi: 10.1016/j.compstruct.2025.118953
    [40]
    HE P P, WEN Y T, LIANG X, et al. Bio-inspired hybrid design and mechanical properties of 3D compression-twist coupling chiral lattice with functional integration [J]. Composite Structures, 2025, 373: 119670. doi: 10.1016/j.compstruct.2025.119670
    [41]
    LI N, PANG S M, CHEN S G, et al. Design and application of hybrid lattice metamaterial structures with high energy absorption and compressive resistance [J]. Journal of Materials Research and Technology, 2024, 33: 7100–7112. doi: 10.1016/j.jmrt.2024.11.113
    [42]
    KAMAREH F, PANG B J, CAO W X, et al. Evaluating load-bearing and hypervelocity impact shielding capabilities of face-centered cubic lattice core sandwich panels [J]. Materials Today Communications, 2024, 40: 109835. doi: 10.1016/j.mtcomm.2024.109835
    [43]
    ZHAO C, ZHANG M, LI G X, et al. Stress wave propagation and energy absorption properties of heterogeneous lattice materials under impact load [J]. Advances in Materials Science and Engineering, 2021, 2021: 1766952. doi: 10.1155/2021/1766952
    [44]
    WANG X, XIONG J. Integrated design of novel composite plate-truss hybrid lattice structures for superior energy absorption [J]. International Journal of Solids and Structures, 2025, 318: 113447. doi: 10.1016/j.ijsolstr.2025.113447
    [45]
    WU J C, ZHANG Y, YANG F, et al. A hybrid architectural metamaterial combing plate lattice and hollow-truss lattice with advanced mechanical performances [J]. Additive Manufacturing, 2023, 76: 103764. doi: 10.1016/j.addma.2023.103764
    [46]
    FENG J W, FU J Z, YAO X H, et al. Triply periodic minimal surface (TPMS) porous structures: from multi-scale design, precise additive manufacturing to multidisciplinary applications [J]. International Journal of Extreme Manufacturing, 2022, 4(2): 022001. doi: 10.1088/2631-7990/ac5be6
    [47]
    AL-KETAN O, ABU AL-RUB R K. Multifunctional mechanical metamaterials based on triply periodic minimal surface lattices [J]. Advanced Engineering Materials, 2019, 21(10): 1900524. doi: 10.1002/adem.201900524
    [48]
    YUAN L, DING S L, WEN C E. Additive manufacturing technology for porous metal implant applications and triple minimal surface structures: a review [J]. Bioactive Materials, 2019, 4: 56–70. doi: 10.1016/j.bioactmat.2018.12.003
    [49]
    LI F L, GAN J K, ZHANG L, et al. Enhancing impact resistance of hybrid structures designed with triply periodic minimal surfaces [J]. Composites Science and Technology, 2024, 245: 110365. doi: 10.1016/j.compscitech.2023.110365
    [50]
    YANG N, QUAN Z, ZHANG D W, et al. Multi-morphology transition hybridization CAD design of minimal surface porous structures for use in tissue engineering [J]. Computer-Aided Design, 2014, 56: 11–21. doi: 10.1016/j.cad.2014.06.006
    [51]
    LI Z H, LI S Q, LIU J J, et al. Response mechanisms and energy absorption properties of hybrid sheet TPMS lattices under static and dynamic loading [J]. Thin-Walled Structures, 2025, 210: 112980. doi: 10.1016/j.tws.2025.112980
    [52]
    ZHANG J, XIE S C, HE G D, et al. Design of hybrid triply periodic minimal surface structures to enhance structural dynamic compression behavior [J]. Composite Structures, 2025, 354: 118790. doi: 10.1016/j.compstruct.2024.118790
    [53]
    NOVAK N, TANAKA S, HOKAMOTO K, et al. High strain rate mechanical behaviour of uniform and hybrid metallic TPMS cellular structures [J]. Thin-Walled Structures, 2023, 191: 111109. doi: 10.1016/j.tws.2023.111109
    [54]
    ZHANG J, XIE S C, LI T, et al. A study of multi-stage energy absorption characteristics of hybrid sheet TPMS lattices [J]. Thin-Walled Structures, 2023, 190: 110989. doi: 10.1016/j.tws.2023.110989
    [55]
    CHEN Z Y, WU B S, CHEN X, et al. Energy absorption and impact resistance of hybrid triply periodic minimal surface (TPMS) sheet-based structures [J]. Materials Today Communications, 2023, 37: 107352. doi: 10.1016/j.mtcomm.2023.107352
    [56]
    JANG W Y, KYRIAKIDES S. On the buckling and crushing of expanded honeycomb [J]. International Journal of Mechanical Sciences, 2015, 91: 81–90. doi: 10.1016/j.ijmecsci.2014.02.008
    [57]
    SUN G Y, CHEN D D, HUO X T, et al. Experimental and numerical studies on indentation and perforation characteristics of honeycomb sandwich panels [J]. Composite Structures, 2018, 184: 110–124. doi: 10.1016/j.compstruct.2017.09.025
    [58]
    HE W T, LU S J, YI K, et al. Residual flexural properties of CFRP sandwich structures with aluminum honeycomb cores after low-velocity impact [J]. International Journal of Mechanical Sciences, 2019, 161/162: 105026.
    [59]
    WANG Z G, LIU J F. Numerical and theoretical analysis of honeycomb structure filled with circular aluminum tubes subjected to axial compression [J]. Composites Part B: Engineering, 2019, 165: 626–635. doi: 10.1016/j.compositesb.2019.01.070
    [60]
    WANG Z G, LIU J F. Mechanical performance of honeycomb filled with circular CFRP tubes [J]. Composites Part B: Engineering, 2018, 135: 232–241. doi: 10.1016/j.compositesb.2017.09.048
    [61]
    BOHARA R P, LINFORTH S, THAI H T, et al. Multi-objective bulk scale optimisation of an auxetic structure to enhance protection performance [J]. Engineering Structures, 2023, 280: 115729. doi: 10.1016/j.engstruct.2023.115729
    [62]
    吴文旺, 肖登宝, 孟嘉旭, 等. 负泊松比结构力学设计、抗冲击性能及在车辆工程应用与展望 [J]. 力学学报, 2021, 53(3): 611–638. doi: 10.6052/0459-1879-20-333

    WU W W, XIAO D B, MENG J X, et al. Mechanical design, impact energy absorption and applications of auxetic structures in automobile lightweight engineering [J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(3): 611–638. doi: 10.6052/0459-1879-20-333
    [63]
    LI X, PENG W T, WU W W, et al. Auxetic mechanical metamaterials: from soft to stiff [J]. International Journal of Extreme Manufacturing, 2023, 5(4): 042003. doi: 10.1088/2631-7990/ace668
    [64]
    CHENG X, ZHANG Y, REN X, et al. Design and mechanical characteristics of auxetic metamaterial with tunable stiffness [J]. International Journal of Mechanical Sciences, 2022, 223: 107286. doi: 10.1016/j.ijmecsci.2022.107286
    [65]
    MOUSANEZHAD D, HAGHPANAH B, GHOSH R, et al. Elastic properties of chiral, anti-chiral, and hierarchical honeycombs: a simple energy-based approach [J]. Theoretical and Applied Mechanics Letters, 2016, 6(2): 81–96. doi: 10.1016/j.taml.2016.02.004
    [66]
    GERAMIZADEH H, DARIUSHI S, SALAMI S J. Optimal face sheet thickness of 3D printed polymeric hexagonal and re-entrant honeycomb sandwich beams subjected to three-point bending [J]. Composite Structures, 2022, 291: 115618. doi: 10.1016/j.compstruct.2022.115618
    [67]
    GAO Y, HUANG H W. Energy absorption characteristics and optimization of three-beam star honeycomb [J]. Mechanics of Advanced Materials and Structures, 2023, 30(8): 1559–1573. doi: 10.1080/15376494.2022.2037171
    [68]
    WANG H, LU Z X, YANG Z Y, et al. In-plane dynamic crushing behaviors of a novel auxetic honeycomb with two plateau stress regions [J]. International Journal of Mechanical Sciences, 2019, 151: 746–759. doi: 10.1016/j.ijmecsci.2018.12.009
    [69]
    ZHU Y L, JIANG S H, LU F C, et al. A novel enhanced anti-tetra-missing rib auxetic structure with tailorable in-plane mechanical properties [J]. Engineering Structures, 2022, 262: 114399. doi: 10.1016/j.engstruct.2022.114399
    [70]
    LI J, ZHANG Z Y, LIU H T, et al. Design and characterization of novel bi-directional auxetic cubic and cylindrical metamaterials [J]. Composite Structures, 2022, 299: 116015. doi: 10.1016/j.compstruct.2022.116015
    [71]
    XU M C, XU Z R, ZHANG Z, et al. Mechanical properties and energy absorption capability of AuxHex structure under in-plane compression: theoretical and experimental studies [J]. International Journal of Mechanical Sciences, 2019, 159: 43–57. doi: 10.1016/j.ijmecsci.2019.05.044
    [72]
    YU Y, FU T, WANG S, et al. Dynamic response of novel sandwich structures with 3D sinusoid-parallel-hybrid honeycomb auxetic cores: the cores based on negative Poisson’s ratio of elastic jump [J]. European Journal of Mechanics–A/Solids, 2025, 109: 105449. doi: 10.1016/j.euromechsol.2024.105449
    [73]
    LI S C, LI B, FU T. Low-velocity impact response of sandwich plates with corrugation star-shaped honeycomb hybrid core [J]. Applied Mathematical Modelling, 2025, 137: 115715. doi: 10.1016/j.apm.2024.115715
    [74]
    YE J J, SUN Z P, DING Y Y, et al. The deformation mechanism, energy absorption behavior and optimal design of vertical-reinforced lattices [J]. Thin-Walled Structures, 2023, 190: 110988. doi: 10.1016/j.tws.2023.110988
    [75]
    CUI Z, ZHAO J Y, XU R, et al. Mechanical design and energy absorption performances of novel plate-rod hybrid lattice structures [J]. Thin-Walled Structures, 2024, 194: 111349. doi: 10.1016/j.tws.2023.111349
    [76]
    CUI Z, SUN Z P, ZHAO J Y, et al. Response of hybrid plate-rod lattices to static and dynamic compression: an experimental study [J]. International Journal of Impact Engineering, 2025, 202: 105321. doi: 10.1016/j.ijimpeng.2025.105321
    [77]
    RAJ R, JIYALAL PRAJAPATI M, TSAI J T, et al. Design and additive manufacturing of novel hybrid lattice metamaterial for enhanced energy absorption and structural stability [J]. Materials & Design, 2024, 245: 113268. doi: 10.1016/j.matdes.2024.113268
    [78]
    LI L B, WU J C, YANG F, et al. Mechanisms of low-frequency bandgap formation and energy absorption of three-dimensional nested hybrid lattice structures [J]. Composites Part B: Engineering, 2025, 291: 112045. doi: 10.1016/j.compositesb.2024.112045
    [79]
    NAJI M M, ALAGHA A N, SHEIKH-AHMAD J Y, et al. Hybrid plate-TPMS lattice metamaterials with exceptional stiffness and strength [J]. Virtual and Physical Prototyping, 2025, 20(1): e2536560. doi: 10.1080/17452759.2025.2536560
    [80]
    LIU Y, WANG Y Z, REN H Y, et al. Ultrastiff metamaterials generated through a multilayer strategy and topology optimization [J]. Nature Communications, 2024, 15(1): 2984. doi: 10.1038/s41467-024-47089-8
    [81]
    ZHANG M, GAO K, LIU J L, et al. Breaking stiffness-tunability trade-offs in metamaterials: a minimal surface guided hybrid lattice strategy [J]. Advanced Science, 2025, 12(39): e10586. doi: 10.1002/advs.202510586
    [82]
    EJEH C J, BARSOUM I, ABU AL-RUB R K. Novel hybrid minimal surface-based lattice materials [J]. Materials & Design, 2025, 253: 113959. doi: 10.1016/j.matdes.2025.113959
    [83]
    YE H L, TIAN F W, HE W L, et al. Mechanical and thermal property analysis and optimization design of hybrid lattice structure based on triply periodic minimal surfaces [J]. Thin-Walled Structures, 2024, 203: 112203. doi: 10.1016/j.tws.2024.112203
    [84]
    LV H Y, SHI S S, CHEN B Z, et al. Low-velocity impact response of composite sandwich structure with grid-honeycomb hybrid core [J]. International Journal of Mechanical Sciences, 2023, 246: 108149. doi: 10.1016/j.ijmecsci.2023.108149
    [85]
    WANG Z G, SHI C, DING S S, et al. Crashworthiness of innovative hexagonal honeycomb-like structures subjected to out-of-plane compression [J]. Journal of Central South University, 2020, 27(2): 621–628. doi: 10.1007/s11771-020-4321-2
    [86]
    BIAN Z, GONG Y, SUN Z X, et al. Design and energy absorption characteristics of a novel honeycomb with embedded chiral structures [J]. Composite Structures, 2024, 333: 117944. doi: 10.1016/j.compstruct.2024.117944
    [87]
    NIU X Q, XU F X, ZOU Z, et al. In-plane dynamic crashing behavior and energy absorption of novel bionic honeycomb structures [J]. Composite Structures, 2022, 299: 116064. doi: 10.1016/j.compstruct.2022.116064
    [88]
    QIN F P, YANG H M, ZHANG C B, et al. A trifolium-shaped auxetic metamaterial with programmable elastic constants and high energy absorption [J]. Thin-Walled Structures, 2026, 221: 114407. doi: 10.1016/j.tws.2025.114407
    [89]
    ZHANG W, YIN S, YU T X, et al. Crushing resistance and energy absorption of pomelo peel inspired hierarchical honeycomb [J]. International Journal of Impact Engineering, 2019, 125: 163–172. doi: 10.1016/j.ijimpeng.2018.11.014
    [90]
    TEWARI K, PANDIT M K, MAHAPATRA M M, et al. Honeycomb-spiderweb-inspired self-similar hybrid cellular structures for impact applications [J]. Defence Technology, 2025, 43: 182–200. doi: 10.1016/j.dt.2024.06.015
    [91]
    HE Q, FENG J, CHEN Y J, et al. Mechanical properties of spider-web hierarchical honeycombs subjected to out-of-plane impact loading [J]. Journal of Sandwich Structures & Materials, 2020, 22(3): 771–796. doi: 10.1177/1099636218772295
    [92]
    ZHANG D H, FEI Q G, LIU J Z, et al. Crushing of vertex-based hierarchical honeycombs with triangular substructures [J]. Thin-Walled Structures, 2020, 146: 106436. doi: 10.1016/j.tws.2019.106436
    [93]
    YU X D, PAN L C, CHEN J X, et al. Experimental and numerical study on the energy absorption abilities of trabecular-honeycomb biomimetic structures inspired by beetle elytra [J]. Journal of Materials Science, 2019, 54(3): 2193–2204. doi: 10.1007/s10853-018-2958-0
    [94]
    CHEN Y Y, LI T T, JIA Z A, et al. 3D printed hierarchical honeycombs with shape integrity under large compressive deformations [J]. Materials & Design, 2018, 137: 226–234. doi: 10.1016/j.matdes.2017.10.028
    [95]
    FANG J G, SUN G Y, QIU N, et al. On hierarchical honeycombs under out-of-plane crushing [J]. International Journal of Solids and Structures, 2018, 135: 1–13. doi: 10.1016/j.ijsolstr.2017.08.013
    [96]
    LU Z X, LI X, YANG Z Y, et al. Novel structure with negative Poisson’s ratio and enhanced Young’s modulus [J]. Composite Structures, 2016, 138: 243–252. doi: 10.1016/j.compstruct.2015.11.036
    [97]
    CHEN Z Y, WU X, XIE Y M, et al. Re-entrant auxetic lattices with enhanced stiffness: a numerical study [J]. International Journal of Mechanical Sciences, 2020, 178: 105619. doi: 10.1016/j.ijmecsci.2020.105619
    [98]
    FU M H, CHEN Y, HU L L. A novel auxetic honeycomb with enhanced in-plane stiffness and buckling strength [J]. Composite Structures, 2017, 160: 574–585. doi: 10.1016/j.compstruct.2016.10.090
    [99]
    LI D, YIN J H, DONG L, et al. Strong re-entrant cellular structures with negative Poisson’s ratio [J]. Journal of Materials Science, 2018, 53(3): 3493–3499. doi: 10.1007/s10853-017-1809-8
    [100]
    ZHU D F, WEI Y C, SHEN X Y, et al. A novel elliptical annular re-entrant auxetic honeycomb with enhanced stiffness [J]. International Journal of Mechanical Sciences, 2024, 262: 108732. doi: 10.1016/j.ijmecsci.2023.108732
    [101]
    TANG Y X, ZHONG Y F, LIU R, et al. Ellipse-arc hybrid re-entrant honeycombs for dual-plateau energy absorption [J]. International Journal of Mechanical Sciences, 2026, 313: 111302. doi: 10.1016/j.ijmecsci.2026.111302
    [102]
    OUYANG S B, LI W, HIEN P L, et al. Dual-enhanced stiffness and auxeticity in novel double re-entrant honeycombs with vertical fold-line stiffeners [J]. Thin-Walled Structures, 2025, 217: 113746. doi: 10.1016/j.tws.2025.113746
    [103]
    LU Q, DENG X L. Energy absorption and in-plane mechanical behavior of honeycomb structures with reinforced strut [J]. Composite Structures, 2023, 322: 117399. doi: 10.1016/j.compstruct.2023.117399
    [104]
    NI X H, JIANG W, ZHANG X G, et al. Quasi-static and dynamic properties studies of a metamaterial with enhanced auxeticity and tunable stiffness [J]. Composite Structures, 2023, 321: 117254. doi: 10.1016/j.compstruct.2023.117254
    [105]
    QI C, JIANG F, REMENNIKOV A, et al. Quasi-static crushing behavior of novel re-entrant circular auxetic honeycombs [J]. Composites Part B: Engineering, 2020, 197: 108117. doi: 10.1016/j.compositesb.2020.108117
    [106]
    TAN H L, HE Z C, LI K X, et al. In-plane crashworthiness of re-entrant hierarchical honeycombs with negative Poisson’s ratio [J]. Composite Structures, 2019, 229: 111415. doi: 10.1016/j.compstruct.2019.111415
    [107]
    ZHONG Y F, LIU R, HIEN P L, et al. Energy absorption characteristics of butterfly-shaped multi-cellular honeycomb structures under compressive loading [J]. Structures, 2025, 75: 108765. doi: 10.1016/j.istruc.2025.108765
    [108]
    LI K D, ZHANG M L H, ETEMADI E, et al. Quasi-static compression response and structural parameter optimization of CFRP 3D hybrid auxetic lattice structure with enhanced stiffness [J]. Engineering Structures, 2025, 328: 119681. doi: 10.1016/j.engstruct.2025.119681
    [109]
    MA L H, LIU Z Y, CUI Y J, et al. A leaf venation-inspired star-shaped hybrid honeycomb with ultra-high load-bearing and energy absorption [J]. Composite Structures, 2026, 377: 119862. doi: 10.1016/j.compstruct.2025.119862
    [110]
    LI X L, LI Z Z, GUO Z Y, et al. A novel star-shaped honeycomb with enhanced energy absorption [J]. Composite Structures, 2023, 309: 116716. doi: 10.1016/j.compstruct.2023.116716
    [111]
    WEI L L, ZHAO X, YU Q, et al. Quasi-static axial compressive properties and energy absorption of star-triangular auxetic honeycomb [J]. Composite Structures, 2021, 267: 113850. doi: 10.1016/j.compstruct.2021.113850
    [112]
    LU H, WANG X P, CHEN T N. In-plane dynamics crushing of a combined auxetic honeycomb with negative Poisson’s ratio and enhanced energy absorption [J]. Thin-Walled Structures, 2021, 160: 107366. doi: 10.1016/j.tws.2020.107366
    [113]
    WANG S, LIU H T. Utilizing multi-step plastic deformation in negative stiffness metastructures for superior energy absorption [J]. Composite Structures, 2026, 377: 119909. doi: 10.1016/j.compstruct.2025.119909
    [114]
    WANG H, WANG W H, WANG B, et al. Foam-filling technique to improve low-velocity impact behaviors of woven lattice truss sandwich panels [J]. Polymer Testing, 2022, 114: 107714. doi: 10.1016/j.polymertesting.2022.107714
    [115]
    LIU T, CHEN C H, CHENG Y S. Mechanical characteristics and foam filling enhancement mechanism of polymeric periodic hybrid structures under uniaxial compression [J]. Materials & Design, 2023, 227: 111762. doi: 10.1016/j.matdes.2023.111762
    [116]
    TAO Y B, LI P, CAI L P. Effect of fiber content on sound absorption, thermal conductivity, and compression strength of straw fiber-filled rigid polyurethane foams [J]. BioResources, 2016, 11(2): 4159–4167. doi: 10.15376/biores.11.2.4159-4167
    [117]
    OSTOS J B, RINALDI R G, HAMMETTER C M, et al. Deformation stabilization of lattice structures via foam addition [J]. Acta Materialia, 2012, 60(19): 6476–6485. doi: 10.1016/j.actamat.2012.07.053
    [118]
    SOMARATHNA H M C C, RAMAN S N, MOHOTTI D, et al. The use of polyurethane for structural and infrastructural engineering applications: a state-of-the-art review [J]. Construction and Building Materials, 2018, 190: 995–1014. doi: 10.1016/j.conbuildmat.2018.09.166
    [119]
    BAROUTAJI A, SAJJIA M, OLABI A G. On the crashworthiness performance of thin-walled energy absorbers: recent advances and future developments [J]. Thin-Walled Structures, 2017, 118: 137–163. doi: 10.1016/j.tws.2017.05.018
    [120]
    SUN G Y, CHEN D D, ZHU G H, et al. Lightweight hybrid materials and structures for energy absorption: a state-of-the-art review and outlook [J]. Thin-Walled Structures, 2022, 172: 108760. doi: 10.1016/j.tws.2021.108760
    [121]
    YAO R Y, PANG T, ZHANG B, et al. On the crashworthiness of thin-walled multi-cell structures and materials: state of the art and prospects [J]. Thin-Walled Structures, 2023, 189: 110734. doi: 10.1016/j.tws.2023.110734
    [122]
    CHAPKIN W A, SIMONE D L, FRANK G J, et al. Mechanical behavior and energy dissipation of infilled, composite Ti-6Al-4V trusses [J]. Materials & Design, 2021, 203: 109602. doi: 10.1016/j.matdes.2021.109602
    [123]
    LI S, HOU Y L, HUANG J, et al. Exploring the enhanced energy-absorption performance of hybrid polyurethane (PU)-foam-filled lattice metamaterials [J]. International Journal of Impact Engineering, 2024, 193: 105058. doi: 10.1016/j.ijimpeng.2024.105058
    [124]
    TAO Y B, LI P, ZHANG H W, et al. Compression and flexural properties of rigid polyurethane foam composites reinforced with 3D-printed polylactic acid lattice structures [J]. Composite Structures, 2022, 279: 114866. doi: 10.1016/j.compstruct.2021.114866
    [125]
    PIZZORNI M, LERTORA E, MANDOLFINO C. Energy absorption properties of a 3D-printed lattice-core foam composite under compressive and low-velocity impact loading [J]. Materials Today Communications, 2023, 36: 106918. doi: 10.1016/j.mtcomm.2023.106918
    [126]
    RAMIREZ B J, MISRA U, GUPTA V. Viscoelastic foam-filled lattice for high energy absorption [J]. Mechanics of Materials, 2018, 127: 39–47. doi: 10.1016/j.mechmat.2018.08.011
    [127]
    PRAJAPATI M J, KUMAR A, LIN S C, et al. Multi-material additive manufacturing with lightweight closed-cell foam-filled lattice structures for enhanced mechanical and functional properties [J]. Additive Manufacturing, 2022, 54: 102766. doi: 10.1016/j.addma.2022.102766
    [128]
    CORVI A, COLLINI L, SCIANCALEPORE C. Improving the compressive response of bio-polymeric additively manufactured cellular structures via foam-filling: an experimental and numerical investigation [J]. Mechanics of Advanced Materials and Structures, 2024, 31(25): 7486–7497. doi: 10.1080/15376494.2023.2245821
    [129]
    LI Z L, LI H, YANG Y, et al. Investigation of impact and vibration behaviours of composite honeycomb sandwich shell panels with foam reinforcement [J]. Mechanical Systems and Signal Processing, 2025, 232: 112676. doi: 10.1016/j.ymssp.2025.112676
    [130]
    ZHAO L H, WANG L, JIN Y F, et al. Simultaneously improved thermal conductivity and mechanical properties of boron nitride nanosheets/aramid nanofiber films by constructing multilayer gradient structure [J]. Composites Part B: Engineering, 2022, 229: 109454. doi: 10.1016/j.compositesb.2021.109454
    [131]
    SARKHOSH R. Enhanced specific energy absorption in honeycomb structures with novel spiral reinforcement and foam filling [J]. Polymer Engineering & Science, 2025, 65(9): 4631–4643. doi: 10.1002/pen.27294
    [132]
    MONTAZERI A, BAHMANPOUR E, SAFARABADI M. Three-point bending behavior of foam-filled conventional and auxetic 3D-printed honeycombs [J]. Advanced Engineering Materials, 2023, 25(17): 2300273. doi: 10.1002/adem.202300273
    [133]
    HAO N, SONG Y H, CHEN J X, et al. Compressive performance of a foam-filled fiber-reinforced grid beetle elytron plate [J]. Science China Technological Sciences, 2023, 66(3): 830–840. doi: 10.1007/s11431-022-2171-0
    [134]
    WANG F, MING Y K, ZHAO Y T, et al. Fabrication of a novel continuous fiber 3D printed thermoset all-composite honeycomb sandwich structure with polymethacrylimide foam reinforcement [J]. Composites Communications, 2024, 45: 101794. doi: 10.1016/j.coco.2023.101794
    [135]
    LUO H C, REN X, ZHANG Y, et al. Mechanical properties of foam-filled hexagonal and re-entrant honeycombs under uniaxial compression [J]. Composite Structures, 2022, 280: 114922. doi: 10.1016/j.compstruct.2021.114922
    [136]
    LIU T, CHEN C H, CHENG Y S. Dynamic crushing performance of foam-filled periodic hybrid cellular structures [J]. Composite Structures, 2024, 334: 117952. doi: 10.1016/j.compstruct.2024.117952
    [137]
    XIE S C, CUI Y X, ZHANG J, et al. Low velocity impact study of polyurethane foam in-situ foamed honeycomb sandwich structure [J]. Polymer Composites, 2025, 46(S2): S602–S616. doi: 10.1002/pc.29860
    [138]
    CHEN J Y, HE W W, FANG H, et al. Crashworthiness and optimization for foam-filled multi-layer composite lattice structures [J]. Polymer Testing, 2025, 144: 108744. doi: 10.1016/j.polymertesting.2025.108744
    [139]
    WU W, LIU Y, YAN J B, et al. Blast performance of polyurethane foam-filled auxetic honeycomb sandwich beams [J]. Composite Structures, 2024, 338: 118104. doi: 10.1016/j.compstruct.2024.118104
    [140]
    WU C F, YE G R, ZHAO Y H, et al. Experimental and numerical study of in-plane uniaxial compression response of PU foam filled aluminum arrowhead auxetic honeycomb [J]. Rapid Prototyping Journal, 2024, 30(3): 502–512. doi: 10.1108/RPJ-08-2023-0267
    [141]
    NOVAK N, AL-RIFAIE H, AIROLDI A, et al. Quasi-static and impact behaviour of foam-filled graded auxetic panel [J]. International Journal of Impact Engineering, 2023, 178: 104606. doi: 10.1016/j.ijimpeng.2023.104606
    [142]
    CHEN C Q, AIROLDI A, CAPORALE A M, et al. Impact response of composite energy absorbers based on foam-filled metallic and polymeric auxetic frames [J]. Composite Structures, 2024, 331: 117916. doi: 10.1016/j.compstruct.2024.117916
    [143]
    FAN D L, LI N X, LI Y J, et al. A novel method for preparing anisotropic negative Poisson’s ratio composite foam with excellent structural stability and shape recovery property [J]. Polymer, 2024, 296: 126825. doi: 10.1016/j.polymer.2024.126825
    [144]
    NI X H, ZHANG X G, HAN D, et al. Aluminum foam-filled auxetic double tubular structures: design and characteristic study [J]. Mechanics of Advanced Materials and Structures, 2023, 31(15): 3377–3388. doi: 10.1080/15376494.2023.2175397
    [145]
    YANG Y, YUAN S Q, ZHANG X L, et al. Investigation of the impact resistance of foam-filled combined honeycomb structures [J]. Polymer Engineering & Science, 2025, 65(9): 4753–4764. doi: 10.1002/pen.70017
    [146]
    CHEN G C, CHENG Y S, ZHANG P, et al. Blast resistance of metallic double arrowhead honeycomb sandwich panels with different core configurations under the paper tube-guided air blast loading [J]. International Journal of Mechanical Sciences, 2021, 201: 106457. doi: 10.1016/j.ijmecsci.2021.106457
    [147]
    LAN X K, HUANG G Y, BIAN X B, et al. Impact resistance of foam-filled hybrid-chiral honeycomb beam under localized impulse loading [J]. International Journal of Impact Engineering, 2023, 173: 104477. doi: 10.1016/j.ijimpeng.2022.104477
    [148]
    GHODDOUSI S, YAKHFORVAZAN A V, SAFARABADI M. Effects of foam filling on flexural performance of 3D printed chiral honeycombs [J]. Thin-Walled Structures, 2025, 209: 112893. doi: 10.1016/j.tws.2024.112893
    [149]
    AIROLDI A, NOVAK N, SGOBBA F, et al. Foam-filled energy absorbers with auxetic behaviour for localized impacts [J]. Materials Science and Engineering: A, 2020, 788: 139500. doi: 10.1016/j.msea.2020.139500
    [150]
    GÜRGEN S, KUŞHAN M C, LI W H. Shear thickening fluids in protective applications: a review [J]. Progress in Polymer Science, 2017, 75: 48–72. doi: 10.1016/j.progpolymsci.2017.07.003
    [151]
    ZHANG X, WANG P F, KURKIN A, et al. Mechanical response of shear thickening fluid filled composite subjected to different strain rates [J]. International Journal of Mechanical Sciences, 2021, 196: 106304. doi: 10.1016/j.ijmecsci.2021.106304
    [152]
    SHENDE T, NIASAR V J, BABAEI M. An empirical equation for shear viscosity of shear thickening fluids [J]. Journal of Molecular Liquids, 2021, 325: 115220. doi: 10.1016/j.molliq.2020.115220
    [153]
    ZHU J Q, GU Z P, LIU Z P, et al. Silicone rubber matrix composites with shear thickening fluid microcapsules realizing intelligent adaptation to impact loadings [J]. Composites Part B: Engineering, 2022, 247: 110312. doi: 10.1016/j.compositesb.2022.110312
    [154]
    WEERASINGHE D, MOHOTTI D, ANDERSON J. Incorporation of shear thickening fluid effects into computational modelling of woven fabrics subjected to impact loading: a review [J]. International Journal of Protective Structures, 2020, 11(3): 340–378. doi: 10.1177/2041419619889071
    [155]
    SEN S, JAMAL M N B J, SHAW A, et al. Numerical investigation of ballistic performance of shear thickening fluid (STF)-Kevlar composite [J]. International Journal of Mechanical Sciences, 2019, 164: 105174. doi: 10.1016/j.ijmecsci.2019.105174
    [156]
    CHATTERJEE V A, VERMA S K, BHATTACHARJEE D, et al. Enhancement of energy absorption by incorporation of shear thickening fluids in 3D-mat sandwich composite panels upon ballistic impact [J]. Composite Structures, 2019, 225: 111148. doi: 10.1016/j.compstruct.2019.111148
    [157]
    LU Z Q, WU L W, GU B H, et al. Numerical simulation of the impact behaviors of shear thickening fluid impregnated warp-knitted spacer fabric [J]. Composites Part B: Engineering, 2015, 69: 191–200. doi: 10.1016/j.compositesb.2014.10.003
    [158]
    WEI H B, GAO H, WANG X Y. Development of novel guar gum hydrogel based media for abrasive flow machining: shear-thickening behavior and finishing performance [J]. International Journal of Mechanical Sciences, 2019, 157/158: 758–772.
    [159]
    WAITUKAITIS S R, JAEGER H M. Impact-activated solidification of dense suspensions via dynamic jamming fronts [J]. Nature, 2012, 487(7406): 205–209. doi: 10.1038/nature11187
    [160]
    CLARK J, JENSON S, SCHULTZ J, et al. Study of impact properties of a fluid-filled honeycomb structure [C]//ASME 2013 International Mechanical Engineering Congress and Exposition. San Diego: ASME, 2013.
    [161]
    WARREN J, COLE M, OFFENBERGER S, et al. Hypervelocity impacts on honeycomb core sandwich panels filled with shear thickening fluid [J]. International Journal of Impact Engineering, 2021, 150: 103803. doi: 10.1016/j.ijimpeng.2020.103803
    [162]
    HU Q F, LU G X, HAMEED N, et al. Dynamic compressive behaviour of shear thickening fluid-filled honeycomb [J]. International Journal of Mechanical Sciences, 2022, 229: 107493. doi: 10.1016/j.ijmecsci.2022.107493
    [163]
    REN J P, GU Z P, SUI Y D, et al. NPR effect on energy absorption enhancement of star-shaped honeycomb filled shear thickening fluids under impact [J]. Composites Part B: Engineering, 2025, 299: 112415. doi: 10.1016/j.compositesb.2025.112415
    [164]
    CORVI A, COLLINI L. Shear-thickening-fluid-based meta-material for adaptive impact response [J]. Materials & Design, 2024, 244: 113174. doi: 10.1016/j.matdes.2024.113174
    [165]
    SUN H L, TSE K M, HAMEED N, et al. Dynamic compressive behavior of Miura-ori metamaterials filled with shear thickening fluid [J]. International Journal of Mechanical Sciences, 2025, 288: 110006. doi: 10.1016/j.ijmecsci.2025.110006
    [166]
    ZHAO C Y, WANG Y P, CAO S S, et al. Conductive shear thickening gel/Kevlar wearable fabrics: a flexible body armor with mechano-electric coupling ballistic performance [J]. Composites Science and Technology, 2019, 182: 107782. doi: 10.1016/j.compscitech.2019.107782
    [167]
    FAN X W, WANG Y, WANG S, et al. Suppression of the sutural interface on vibration behaviors of sandwich beam with shear stiffening gel [J]. Composite Structures, 2022, 295: 115864. doi: 10.1016/j.compstruct.2022.115864
    [168]
    LI D Y, LI Z M, DUAN S L, et al. Wavy-microstructure-sandwiched flexible composite towards wearable monitoring and acoustic detecting [J]. Composites Part B: Engineering, 2026, 308: 113023. doi: 10.1016/j.compositesb.2025.113023
    [169]
    WANG W J, YANG H, ZHANG W M, et al. Experimental study on the impact resistance of fill-enhanced mechanical metamaterials [J]. International Journal of Mechanical Sciences, 2025, 285: 109799. doi: 10.1016/j.ijmecsci.2024.109799
    [170]
    LIN G J, LI J Q, LI F, et al. Low-velocity impact response of sandwich composite panels with shear thickening gel filled honeycomb cores [J]. Composites Communications, 2022, 32: 101136. doi: 10.1016/j.coco.2022.101136
    [171]
    WU L W, ZHAO F, LU Z Q, et al. Impact energy absorption composites with shear stiffening gel-filled negative Poisson’s ratio skeleton by Kirigami method [J]. Composite Structures, 2022, 298: 116009. doi: 10.1016/j.compstruct.2022.116009
    [172]
    HUANG S L, LIU Y Q, WEN K, et al. Optimization design of a novel microwave absorbing honeycomb sandwich structure filled with magnetic shear-stiffening gel [J]. Composites Science and Technology, 2023, 232: 109883. doi: 10.1016/j.compscitech.2022.109883
    [173]
    PARK S J, LEE J, YANG J, et al. Enhanced energy absorption of additive-manufactured Ti-6Al-4V parts via hybrid lattice structures [J]. Micromachines, 2023, 14(11): 1982. doi: 10.3390/mi14111982
    [174]
    DUAN S Y, WEN W B, FANG D N. Additively-manufactured anisotropic and isotropic 3D plate-lattice materials for enhanced mechanical performance: simulations & experiments [J]. Acta Materialia, 2020, 199: 397–412. doi: 10.1016/j.actamat.2020.08.063
    [175]
    WANG C, GU X J, ZHU J H, et al. Concurrent design of hierarchical structures with three-dimensional parameterized lattice microstructures for additive manufacturing [J]. Structural and Multidisciplinary Optimization, 2020, 61(3): 869–894. doi: 10.1007/s00158-019-02408-2
    [176]
    GAO T Y, LIU K, WANG X X, et al. Elastic mechanical property hybridization of configuration-varying TPMS with geometric continuity [J]. Materials & Design, 2022, 221: 110995. doi: 10.1016/j.matdes.2022.110995
    [177]
    YIN Y M, LI F Y, ZHU D C. Enhanced energy absorption characteristics of TPMS lattice structures with linear and circular hybrid designs [J]. Engineering Structures, 2025, 340: 120759. doi: 10.1016/j.engstruct.2025.120759
    [178]
    NAZIR A, HUSSAIN S, ALI H M, et al. Design and mechanical performance of nature-inspired novel hybrid triply periodic minimal surface lattice structures fabricated using material extrusion [J]. Materials Today Communications, 2024, 38: 108349. doi: 10.1016/j.mtcomm.2024.108349
    [179]
    YANG J L, LIU H, CAI G S, et al. Additive manufacturing and influencing factors of lattice structures: a review [J]. Materials, 2025, 18(7): 1397. doi: 10.3390/ma18071397
    [180]
    LIU R, CHEN W H, ZHAO J X. A review on factors affecting the mechanical properties of additively-manufactured lattice structures [J]. Journal of Materials Engineering and Performance, 2024, 33(10): 4685–4711. doi: 10.1007/s11665-023-08423-1
    [181]
    WANG R Y, SHI H C, GU J J, et al. Additive manufacturing of metal lattice structures: a comprehensive review of technologies, mechanical properties, applications, and future trends [J]. Materials Today Physics, 2025, 59: 101933. doi: 10.1016/j.mtphys.2025.101933
    [182]
    ISAAC C W, DUDDECK F. Current trends in additively manufactured (3D printed) energy absorbing structures for crashworthiness application—a review [J]. Virtual and Physical Prototyping, 2022, 17(4): 1058–1101. doi: 10.1080/17452759.2022.2074698
    [183]
    BOHARA R P, LINFORTH S, NGUYEN T, et al. Anti-blast and -impact performances of auxetic structures: a review of structures, materials, methods, and fabrications [J]. Engineering Structures, 2023, 276: 115377. doi: 10.1016/j.engstruct.2022.115377
    [184]
    KUMAR V, CHAWLA A, DUBEY D K. Advances in cellular sandwich composite structures under air-blast load conditions: a state-of-the-art review [J]. Composites Part B: Engineering, 2026, 311: 113192. doi: 10.1016/j.compositesb.2025.113192
    [185]
    IBHADODE O, ZHANG Z D, SIXT J, et al. Topology optimization for metal additive manufacturing: current trends, challenges, and future outlook [J]. Virtual and Physical Prototyping, 2023, 18(1): e2181192. doi: 10.1080/17452759.2023.2181192
    [186]
    LIU Y, ZHENG G L, LETOV N, et al. A survey of modeling and optimization methods for multi-scale heterogeneous lattice structures [J]. Journal of Mechanical Design, 2021, 143(4): 040803. doi: 10.1115/1.4047917
    [187]
    BHAT C, PRAJAPATI M J, KUMAR A, et al. Additive manufacturing-enabled advanced design and process strategies for multi-functional lattice structures [J]. Materials, 2024, 17(14): 3398. doi: 10.3390/ma17143398
    [188]
    FAN J X, ZHANG L, WEI S S, et al. A review of additive manufacturing of metamaterials and developing trends [J]. Materials Today, 2021, 50: 303–328. doi: 10.1016/j.mattod.2021.04.019
    [189]
    MUKHTAR A, YASIR A S H M, NASIR M F M. A machine learning-based comparative analysis of surrogate models for design optimisation in computational fluid dynamics [J]. Heliyon, 2023, 9(8): e18674. doi: 10.2139/ssrn.4435178
    [190]
    QU M J, LI M Q, SONG Y H, et al. Multi-objective optimization design method for whole-aeroengine coupling vibration [J]. Aerospace, 2023, 10(2): 99. doi: 10.3390/aerospace10020099
    [191]
    NI S Y, CHEN X Y, WU H, et al. Review on data- and mathematics-driven optimization for metamaterial lattice structures [J]. Advanced Engineering Materials, 2026, 28(3): e202501701. doi: 10.1002/adem.202501701
    [192]
    KHAN M, HAQ M R U, AHMED Y S, et al. Advanced mechanical metamaterials: hybrid lattice structures, design strategies, multifunctionality, and challenges for additive manufacturing [J]. Advanced Engineering Materials, 2025, 27(17): 2500308. doi: 10.1002/adem.202500308
    [193]
    CHEN R G, ZHANG W J, JIA Y F, et al. Ultra-stiff and quasi-elastic-isotropic triply periodic minimal surface structures designed by deep learning [J]. Materials & Design, 2024, 244: 113107. doi: 10.1016/j.matdes.2024.113107
    [194]
    MORRIS J, WANG W D, SHAH D, et al. Expanding the design space and optimizing stop bands for mechanical metamaterials [J]. Materials & Design, 2022, 216: 110510. doi: 10.1016/j.matdes.2022.110510
    [195]
    TEAWDESWAN L, DONG G Y. Inverse design of multi-material gyroid structures made by additive manufacturing [J]. International Journal of Mechanical Sciences, 2024, 262: 108734. doi: 10.1016/j.ijmecsci.2023.108734
    [196]
    HENKES A, HERRMANN L, WESSELS H, et al. Generative adversarial networks enable outlier detection and property monitoring for additive manufacturing of complex structures [J]. Engineering Applications of Artificial Intelligence, 2024, 136: 108993. doi: 10.1016/j.engappai.2024.108993
    [197]
    GAO Y N, ZHOU S Z, LI M Q. Structural topology optimization based on diffusion generative adversarial networks [J]. Engineering Applications of Artificial Intelligence, 2024, 138: 109444. doi: 10.1016/j.engappai.2024.109444
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