承受跟踪载荷的弹性半无限体的表面稳定性

Surface Instability of An Elastic Half Space with Following Load Exerted on Its Surface

该文考察表面受一类跟踪载荷作用的谐和弹性半无限体的表面平面应变失稳问题。在表面失稳以前，半无限体的变形是有限的。对于非线性支配方程，采用小变形叠加到大变形上的分析方法。通过分离变量，求解各自的特征值问题，得到了半无限体表面在承受一类跟踪载荷作用下的平面应变失稳的临界条件。同表面自由的情形相比较，这类跟踪载荷的存在，改变了半无限体表面失稳的临界条件。

This paper considered the problems of surface instability of half space madeof a harmonic material subjected to following load.The deformation of the half space is finite before the surface buckling occurs. For the nonlinear equations,a small deformation superposed on large deformation is used.By the seperation of the variables and solvingthe equivalue problems,the corresponding critical conditions for the onset of surface insta-bility is obtained.As compared with the free surface,because of the existence of the following load,the critical condition of the surface instability is changed.