关于弹性半无限体表面的稳定性

本文综合报道有关弹性半无限体表面稳定性的若干工作.对于不可压缩弹性半无限体,概述在双向受载下自由表面的失稳分析,给出失稳的临界条件.对于可压缩弹性材料情况,分析了由标准材料组成的半无限体的表面轴对称失稳,得到失稳临界参数对于材料参数的依赖关系.

On the Surface Instability of Elastic Half Spaces

In this paper, we present some work on the surface instability of elastic half spaces. An analysis of surface instability of an incompressible half space under biaxial loading is summarized, and the critical condition for the onset of surface buckling is given. As an example in the case of compressible materials, the axisymmetric problem of surface instability for a half space made of a standard material is analyzed, and the dependence of buckling parameters on the material is revealed.