人造结石的静动态巴西劈裂试验研究

顾春苗; 刘冠琳; 周风华; 李科斌

doi:10.11858/gywlxb.20240738

人造结石的静动态巴西劈裂试验研究

doi: 10.11858/gywlxb.20240738

1.
宁波大学冲击与安全工程教育部重点实验室, 浙江宁波　315211
2.
宁波大学附属第一医院, 浙江宁波　315211

基金项目: 国家自然科学基金（12202217）；宁波市自然科学基金（2021J122）

详细信息

作者简介:
顾春苗（1996－），男，硕士研究生，主要从事冲击动力学研究. E-mail：gcm842343496@foxmail.com

通讯作者:
李科斌（1988－），男，博士，讲师，主要从事冲击动力学、生物力学研究. E-mail：likebin@nbu.edu.cn

中图分类号: O521.3; O347
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出版历程
- 收稿日期: 2024-02-29
- 修回日期: 2024-03-20
- 刊出日期: 2024-09-29

Study on Static and Dynamic Brazilian Splitting Test of Artificial Stones

1.
Key Laboratory of Impact and Safety Engineering, Ministry of Education, Ningbo University Ningbo 315211, Zhejiang, China
2.
The First Affiliated Hospital of Ningbo University, Ningbo 315211, Zhejiang, China

摘要

摘要: 为探讨人造结石在不同条件下的力学性能，制备了不同配比（硬度、孔隙率、粉水比、蛋白含量）的牙科石膏试样（人造结石），对其开展准静态巴西劈裂试验，并利用$\varnothing$40 mm 分离式霍普金森压杆进行动态加载，结合高速相机、数字图像相关等测试方法观察试样在劈裂过程中的破坏过程以及应变场演化规律，获得应变时程曲线。试验结果表明：人造结石的准静态拉伸强度与硬度、粉水比成正比，与孔隙率成反比，而蛋白质含量对拉伸强度的影响不大，但会影响其韧脆性。在动态加载下，人造结石试样具有明显的应变率强化效应，拉伸强度动态增强因子与应变率对数之间呈线性增长关系。研究方法为人造结石的力学特性研究提供了一种有效的实验方法和分析手段。
- 人造结石 /
- 巴西劈裂 /
- 应变率 /
- 分离式霍普金森压杆 /
- 数字图像相关 /
- 动态增强因子
Abstract: This article aims to explore the mechanical properties of artificial stones under different conditions. Firstly, dental plaster samples with different ratios (hardness, porosity, powder-to-water ratio, and protein content) were prepared as artificial stones to study the splitting behavior. Secondly, quasi-static Brazilian splitting test were conducted on artificial stones. Finally, a $\varnothing$40 mm split Hopkinson pressure bar (SHPB) was used for dynamic loading, combined with high-speed cameras, digital image correlation (DIC) and other testing methods to observe the damage process during sample splitting and the evolution law of the strain field, and then obtain the strain time history curve of the sample was obtained. Test results show that the quasi-static tensile strength of artificial stones is directly proportional to the hardness and powder-to-water ratio, and inversely proportional to the porosity. And the protein content has little effect on the tensile strength of the material, but it does affect its ductility and brittleness. Under dynamic loading, the artificial stone specimen has an obvious strain rate strengthening effect. There is a linearly increasing relationship between the dynamic enhancement factor for tensile strength and the logarithm of the strain rate. This article provides an effective test method and analysis technique for studying the mechanical properties of artificial stones.
- artificial stones /
- Brazilian splitting /
- strain rate /
- split Hopkinson pressure bar /
- digital image correlation /
- dynamic increase factor

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图 1 弧形加载装置

Figure 1. Arc loading device

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图 2 动态巴西劈裂试验计算模型

Figure 2. Calculation model of dynamic Brazilian splitting test

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图 3 不同硬度的牙科石膏试件

Figure 3. Dental plaster sample with different hardnesses

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图 4 准静态巴西劈裂测试系统

Figure 4. Quasi-static Brazilian splitting test system

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图 5 动态巴西劈裂试验装置示意图

Figure 5. Schematic diagram of dynamic Brazilian splitting test device

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图 6 试样2-4-1的加载时程曲线

Figure 6. Loading-time curve of specimen 2-4-1

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图 7 试样2-4-1的裂纹扩展过程

Figure 7. Crack growth process of specimen 2-4-1

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图 8 不同参数条件下人造结石的抗拉强度变化

Figure 8. Changes in tensile strength of artificial stones under different variables

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图 9 试样2-4-1的表面应变场演化云图

Figure 9. Evolution of surface strain field of specimen 2-4-1

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图 10 试样2-4-1中心位置的拉伸应变时程曲线

Figure 10. Strain-time curve at the center of specimen 2-4-1

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图 11 试样2-4-1的应力-应变曲线

Figure 11. Stress-strain curves of specimen 2-4-1

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图 12 应力平衡检验结果

Figure 12. Stress balance test results

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图 13 动态巴西劈裂破坏过程

Figure 13. Dynamic Brazilian splitting failure process

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图 14 不同冲击气压下试样的应变时程曲线

Figure 14. Strain-time curves under different air pressure

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图 15 动态抗拉强度的应变率效应

Figure 15. Strain rate effects on dynamic tensile strength

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表 1 草酸钙结石和BegoStone石膏的部分物理参数^[8]

Table 1. Some physical parameters of calcium oxalate stones and BegoStone^[8]

Material	C_L/(m·s^–1)	C_T/(m·s^–1)	ρ/(kg·m^–³)	Z_L/(kg∙m⁻²∙s⁻¹)	Z_T/(kg∙m⁻²∙s⁻¹)	μ	E/GPa	K/GPa	G/GPa
COM	4476±41	2247±16	1823±69	8.160	4.096	0.332	24.259	9.204	9.204
BegoStone	4400±65	2271±18	2174±29	9.568	4.939	0.318	29.584	30.890	11.221

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表 2 试样的分组情况

Table 2. Sample details list

Hardness/MPa						Porosity/%
1-1	1-2		1-3	1-4		2-1	2-2	2-3	2-4
60	100		220	300		5	15	20	25

Protein content/%						Powder-to-water ratio
3-1	3-2	3-3	3-4		3-5	4-1	4-2	4-3	4-4
1.0	1.5	2.0	2.5		3.0	6.0∶1	5.0∶1	4.0∶1	3.5∶1

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表 3 动态加载试验中试样的物理参数

Table 3. Physical parameters of specimen in dynamic loading test

Density/ (kg·m^–3)	E/GPa	Hardness/ MPa	Powder to water ratio	Porosity/%	Tensile strength/MPa	Compressive strength/MPa
2264.80	31	300	6.0∶1	5	4.64	44.29

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表 4 试样的的动态巴西劈裂试验结果

Table 4. Dynamic Brazilian splitting test results of specimen

Specimen No.	Air pressure/MPa	Tensile strength/MPa	Average tensile strength/MPa
1-1	0.2	13.47
1-2	0.2	13.61	13.46
1-3	0.2	13.30
2-1	0.4	20.60
2-2	0.4	18.78	20.30
2-3	0.4	21.51
3-1	0.6	29.23
3-2	0.6	27.11	28.20
3-3	0.6	28.26

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