地壳介质的各向异性弹性本构关系讨论

ANISOTROPY ELASTIC CONSTITUTIVE RELATION OF THE CRUST MEDIA

摘要:

论述了地壳介质中存在的几类各向异性弹性本构关系.推导了应变能变换公式、EDA薄层各向异性弹性常数及非对称面上EDA构成的单斜对称弹性常数的计算公式.讨论了几种各向异性对称系统的特征方程,并给出了弹性波的角散表达式.最后选取合理的参数对波的角散现象进行了数值模拟.

Abstract:

Some kinds of anisotropy elastic constitutive relations of the crust media are discussed and a strain energy transformed equation and a calculation formula of the elastic constants of EDA cracks in a non symmetry plane are also derived.Eigenvalue equations of different anisotropy symmetry systems and their corresponding wave angular dispersion equations are discussed by introducing and deriving equations after previous authors or by the present authors. Finally, some numerical examples are simulated.