Physically based strain invariant set for materials exhibiting transversely isotropic behavior
Physically based strain invariant set for materials exhibiting transversely isotropic behavior
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DOI：
10.1016/s0022-5096(00)00047-8
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发表时间：
2001-04-01
影响因子：
5.3
通讯作者：
Hunter, WC
中科院分区：
文献类型：
--
作者：
Criscione, JC;Douglas, AS;Hunter, WC
通过分析变形的物理属性，开发了一组新颖的 5 个应变不变量，用于相对于参考配置表现出横向各向同性行为的材料。超弹性材料的实验优势通过表明常见测试可以直接确定 W（每单位参考体积的应变能）项来证明。对称性分析允许先验地完善 PY 的一般形式。此外，该运动学框架对于解决逆问题可能有用，因为柯西应力 t 中的 5 个响应项大多是正交的（10 个互内积中的 9 个消失）。对于小变形，它们是完全正交的（高 10 内积消失）。 t 中的响应项由不变响应函数乘以其关联的运动张量组成。 (C) 2001 Elsevier Science Ltd. 保留所有权利。
A novel set of 5 strain invariants for materials exhibiting transversely isotropic behavior with respect to a reference configuration is developed through analysis of physical attributes of deformation. Experimental advantage for hyperelastic materials is demonstrated by showing that common tests can directly determine terms in W, the strain energy per unit reference volume. An analysis of symmetry allows the general form of PY to be refined a priori. Moreover, this kinematics framework is potentially useful for solving inverse problems since the 5 response terms in the Cauchy stress t are mostly orthogonal (9 of the 10 mutual inner products vanish). For small deformation they are fully orthogonal tall 10 inner products vanish). A response term in t consists of an invariant response function multiplied by its associated kinematic tensor. (C) 2001 Elsevier Science Ltd. All rights reserved.