双向受载不可压缩弹性半无限体表面的稳定性

所谓弹性半无限体表面的失稳,是指在载荷或变形达到某些临界值下,该半无限体表面可能不再保持通常的平面形状。Biot利用独创的增量变形理论考察平面增量变形,开创性地对Mooney型弹性半无限体作过表面失稳分析。本文继文献[2,3]对一般的均匀各向同性不可压缩弹性半无限体,在双向受相同均匀压缩下轴对称和非轴对称失稳的研究,针对更为一般的情形,即该类半无限体在平行于表面的两个互相垂直方向承受不     

表面承受常静水载荷下弹性半无限体的表面稳定性分析

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.     

Surface instability of elastic half spaces with hydrostatic loading on their surfaces

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

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 issummarized,and the critical condition for the onset of surface buckling is given.As anexample in the case of compressible materials,the axisymmetric problem of surfaceinstability for a half space made of a standard material is analyzed,and the dependence ofbuckling parameters on the material is revealed.     

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.