附录B各向异性弹性

Design and Analysis of Composite Structures for Automotive Applications Pub Date : 2019-04-05 DOI:10.1002/9781119513889.app2

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摘要

在线弹性理论中，只考虑形状的微小变化，并假设宏观均匀的线弹性材料。弹性变形在释放后完全消失。正交的机构广义胡克定律适用于9个有效弹性常数:εxx = 1 E1σxx−21 E2υσyy−32 E3υσzz,εyy = 1 E2σyy−12 E1υσxx−32 E3υσzz,εzz = 1 E3σzz−13 E1υσxx−23 E2υσyy,γyz =γzy = 1 G23τyz = 1 G32τzyγzx =γxz = 1 G31τzx = 1 G13τxz,γxy =γy = 1 G12τxy = 1 G21τyx。(责任)

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Appendix B Anisotropic Elasticity

In linear elasticity theory, only small changes in shape are considered, and a macroscopichomogeneous, linear-elastic material is also assumed. Elastic deformations disappear completely after release. For orthotropic bodies the generalized Hooke’s law applies with nine effective elasticity constants: εxx = 1 E1 σxx − υ21 E2 σyy − υ32 E3 σzz, εyy = 1 E2 σyy − υ12 E1 σxx − υ32 E3 σzz, εzz = 1 E3 σzz − υ13 E1 σxx − υ23 E2 σyy, γyz = γzy = 1 G23 τyz = 1 G32 τzy γzx = γxz = 1 G31 τzx = 1 G13 τxz, γxy = γyx = 1 G12 τxy = 1 G21 τyx. (B.1)

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Design and Analysis of Composite Structures for Automotive Applications

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