摘要
本文首先指出Wang与Achenbach和Hanyga关于任意各向异性、不均匀(但性质渐变)的线弹性介质中的Green函数解并非完备解,而是高频条件下的近似解。并以较简洁的步骤及三维Radon变换,得到比文献[1]、[2]更合理的Green函数在高频近似下的显示解。在此基础上具体讨论均匀、横观各向同性介质中的Green函数完备解。
In this paper, it points out that the Green function solution for arbitrarily anisotropic inhomogeneous (but with gradually changing properties) linearly elastic solids given by Wang and Achenbach and Hanyga is not a complete solution, being rather an approximate solution under condition of high frequency. In the paper, the author with simplified steps, applying the 3D Radon transform technique ,has obtained the explicit form of the complete solution of Green function in the sense of high frequency approximation, which is more resonable than those of in (l) and (2). On this basis, a discussion about the complete solution of the Green function for homogeneous, transversely isotropic medium is given.
出处
《上海力学》
CSCD
1998年第1期44-49,共6页
Chinese Quarterly Mechanics
基金
国家自然科学基金
关键词
各向异性
横观各向同性
GREEN函数
弹性力学
anisotropy, transversely isotrope, Green function, 3D Radon transformation. This is a project supported by NSF of China.
