Study of Method of Impact Response Analysis of Anisotropic Surface Structures

研究了横观各向同性表面结构中的瞬态弹性波。基于三维弹性动力学理论，采用本征函数展开和扩展的IIu势函数，建立了精确的解析方法。对圆板、平面应变板、无限大板和无限长条的冲击响应问题进行了数值计算。在某些感兴趣的位置的数值结果示出的部分分布的均匀载荷突然施加在板的顶面。对各向同性和横观各向同性情况下的结果进行了详细的比较。使用透明材料对最大应力响应影响较小。在横向无限大板的情况下，表面波（瑞利波）对板表面应力的影响很大，出现了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.