Dynamic Cylindrical Cavity Expansion Model and Its Application to Penetration Problems
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摘要: 在侵彻问题中的应用进行了研究。通过采用相似变换求解塑性区控制方程,获得了动态柱形空穴膨胀中的弹塑性界面速度、径向应力分布、空穴表面应力的解。基于柱形空穴模型,推导了侵彻方程,并将其得到的预测结果与侵彻实验数据进行了比较。结果表明,模型的理论解与现有数据吻合得很好。 结果还显示了材料的可压缩性和塑性强化模量对柱形空穴膨胀以及侵彻阻力的影响。Abstract: Dynamic cylindrical cavity expansion model and its application to penetration problems were studied. Both incompressible and compressible bilinear strain-hardening material models were considered. First, solutions for dynamic cylindrical cavity expansion (DCCE) are obtained in terms of the velocity of plastic wave front, radial stress distribution and stress on the cavity surface. The influence of material properties such as compressibility, elastic-plastic constitutive equations and plastic modulus is discussed. Based on the DCCE models, penetration equations are then constructed. Comparison with experimental penetration data shows reasonable agreement between theory and experiment. It also shows that material properties such as plastic modulus have considerable effects on the dynamics cavity expansion and its resistance to penetration.
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