表面承受常静水载荷下弹性半无限体的表面稳定性分析

Surface Instability of Elastic Half Spaces with Hydrostatic Loading on Their Surfaces

本文应用小变形叠加到大变形上的分析方法,考察了表面受常静水载荷作用下可压缩和不可压缩弹性半无限体的表面平面应变失稳问题,得到了各自的临界屈曲条件的一般形式.在此基础上.分别对由Blatz-Ko材料和谐和材料所组成的可压缩弹性半无限体以及由Mooney材料所组成的不可压缩弹性半无限体,详细讨论了表面所受的静水压力对临界屈曲条件的影响.

In this paper, the plane-strain buckling of compressible and incompressible elastic half-spaces, whose surfaces are loaded by constant hydrostatic pressures, is studied by using a small-deformation-superposed-on-large-deformation analysis, and the buckling condition for each case is obtained. For Blatz-Ko and harmonic compressible materials as well as Mooney incompressible material, the influence of the surface hydrostatic pressure on the critical buckling condition is discussed in detail