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平面应变各向异性本构关系及在应力波传播模拟中的应用 被引量:1

Constitutive relation for anisotropic materials under plane-strain conditions and its application to stress-wave propagation simulation
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摘要 为了研究平面应变条件下各向异性材料中应力波传播的特点,利用各向异性弹性Hooke定律、Tsai-Hill屈服准则、经典塑性流动理论,引入修正的物态方程计及高压下的体积压缩非线性,建立了平面应变条件下正交各向异性复合材料的弹塑性本构关系,并且分析了二维问题中材料变形引起的主轴旋转及客观应力率修正问题。最后采用动态显式有限元方法自行编写程序模拟某种纤维增强复合材料碰撞过程中平面应力波的传播,模拟结果显示,在平面应变条件下应力波在该材料的传播过程中表现出明显的二维效应、各向异性特点及弹塑性特点。 To investigate the wave propagation features in anisotropic materials under plane-strain conditions, an elastic-plastic constitutive model was constructed by combining the Hooke's law of anisotropic material, the Tsai-Hill yield criterion, the classic fundamental principles of plastic mechanics and the modified Grtineisen equation of state considering the nonlinear compressibility of volume at high pressures. And based on two-dimensional material deformation, the rotation of material principal axes and the modification of objective stress rate were discussed. Then a self-developed, explicit, dynamic, finite element code was applied to simulate the plane-stress wave propagation in certain anisotropic fiber-enforced composites during collision. The results show that stress waves propagating in the above material display two-dimensional, anisotropic and elastic-plastic features under plane-strain conditions.
出处 《爆炸与冲击》 EI CAS CSCD 北大核心 2010年第4期383-389,共7页 Explosion and Shock Waves
关键词 固体力学 应力波传播 各向异性 平面应变 本构关系 有限元 solid mechanics stress wave propagation anisotropic plane-strain constitutive model finite element
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参考文献10

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二级参考文献17

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