Study of Method of Impact Response Analysis of Anisotropic Surface Structures

研究了横向各向同性表面结构内部的瞬态弹性波。基于三维弹性动力学理论，利用特征函数展开和扩展的iu势函数，提出了精确解析方法。对圆板、平面应变状态板、无限板和无限条的冲击响应问题进行了数值计算。给出了突然施加在板顶表面上的部分分布均布荷载在一些感兴趣位置的数值结果。对各向同性和横向各向同性的结果进行了比较。使用横向材料时，最大应力响应受到轻微影响。在横向无限大板的情况下，表面应力受表面波（瑞利波）的显著影响，然后可以看到非常尖锐和不连续的应力响应。

Transient elastic waves inside a transversely isotropic surface structures are investigated. Exact analytical method is developed using the eigenfunction expansion and extended IIu's potential function based on the theory of three dimensional elastodynamics. Numerical calculations are made for impact response problems of circular plates, plates in plane strain state, infinite plates and infinite strips. Numerical results at some locations of interest are shown for a partially distributed uniform load suddenly applied on a plate top surface. Comparisons between the results of isotropic and transversely isotropic cases are made in detail. Maximum stress reponse is sligthly affeced using tranversely materials. In the case of transversely, infinite plate, the surface stress is significantly affeced by the surface wave (Reyleigh wave), and then very sharp and discountinuos stress responses are seen.