Constitutive relation of weakly anisotropic polycrystal with microstructure and initial stress
Constitutive relation of weakly anisotropic polycrystal with microstructure and initial stress
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DOI：
10.1007/s10409-007-0067-4
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发表时间：
2007-03
影响因子：
3.5
通讯作者：
Mojia Huang;Hua Zhan;X. Lin;H. Tang
中科院分区：
文献类型：
--
作者：
Mojia Huang;Hua Zhan;X. Lin;H. Tang
Man（Nondestr Test Eval 15：191-214，1999）推导出了立方微晶的弱织构正交集合体的本构关系，其具有微观结构和初始应力的影响。本文给出了积分的计算表达式。然后，利用该计算表达式，导出了考虑微结构和初始应力的弱织构各向异性多晶的一般本构关系。作为一般本构关系的特例，给出了各向异性多晶体和弱织构立方晶体集合体的两种本构关系。导出了参考立方晶体的声弹张量，确定了多晶体的材料常数。通过两个例子，理解了织构系数和本构关系的物理意义。
Man (Nondestr Test Eval 15:191–214, 1999) derived the constitutive relation of a weakly-texturedorthorhombicaggregate of cubic crystallites with effects of microstructure and initial stress. In this paper, a computational expression on the integrationis given. Then, by means of the computational expression, the general constitutive relation of a weakly-texturedanisotropicpolycrystal with the consideration of microstructure and initial stress is derived. As special cases of our general constitutive relation, two constitutive relations are given for anisotropicpolycrystal and a weakly-texturedanisotropicaggregate of cubic crystallites. The acoustoelastic tensor of the reference cubic crystal is derived to determine the material constants of the polycrystal. Two examples are given for understanding the physical meaning of the texture coefficients and the constitutive relations.