[关键词]
[摘要]
应力对称模型对显著应力梯度问题,显著微结构介质,对波长较小的动力学问题,已经表现出与实验结果的显著差异。就各向同性线弹性均匀固体的静力学问题,介绍应力对称模型的一个疑难,对于直角形区域角顶的两边承受不等的剪应力问题,对称应力模型无解。引入非对称应力模型和偶应力化解了这一疑难。分析表明,随着到边界距离的增加,非对称应力模型的解趋近于对称应力模型的解。
[Key word]
[Abstract]
There is mased differences between experimental and analytical results in the frame of symmetric stress model,when the notable stress gradient exist,or outstanding microstructure is to be considerated,or wavelength is too shorter in dynamic problems. Other difficulty is introduced in linear elastic statics of homogeneous isotropic solid that.The problem is that,neighbor boundaries of a angle domain are subjected to two shear forces not equal each other. The problem is not solved in the frame of symmetric stress model. In the frame of the asymmetric stress and couple stress model in present paper this difficulty is sovlved. It is show that,as the distance from the boundaries increase the solving in the frame of asymmetric stress model tent to that in the frame of symmetric stress model.
[中图分类号]
O331
[基金项目]