提示
塑性状态应力场的细观研究
首发时间：2024-09-04
摘要：工程结构的强度、刚度和稳定性取决于结构的应力场，应用弹塑性折线理论，已成功地从宏观上确定了两类边界条件下的塑性状态应力场，使塑性力学取得了重大进展。本文限定塑性区的边界条件是应力边界条件或边界上仅有零位移边界条件(同时可以有应力边界条件，即可以是混合边界条件)，依据晶体理论的弹塑性变形产生机制，从细观结构进一步研究了塑性状态应力场，分析发现塑性变形产生后的几何构形里只有弹性变形，再利用小变形假定有塑性变形前后的边界条件形式相同，最后获得了重要结论：在限定的两类边界条件下，塑性力学问题的应力场表达式形式与把问题当成弹性问题求得的应力场表达式相同。这一结论与从宏观上依据弹塑性折线理论所得结论一致。
关键词：
for information in english, please click here
mesoscopic study on plastic stress field
abstract：the strength, stiffness and stability of engineering structures depend on the stress field of the structure. the application of the elastic-plastic broken line theory has successfully determined the plastic stress field under two types of boundary conditions from macro perspective, which has made significant progress in plastic mechanics. this article limits the boundary conditions of the plastic zone studied to be stress boundary condition or zero-displacement boundary condition (stress boundary conditions can be present at the same time, that is, it can be mixed boundary conditions). based on the elastic-plastic deformation generation mechanism of crystal theory, the plastic stress field was further studied from the mesoscopic structure, and the analysis found that there was only elastic deformation in geometric configuration of plastic zone after plastic deformation occurred. then, it had that the boundary conditions before and after plastic deformation had the same form from the small deformation assumption. finally, an important conclusion was obtained: in the two types of boundaries defined, the stress field expression form of the plastic mechanics problem is the same as the one obtained by treating the problem as an elastic problem. this conclusion is completely consistent with the one obtained from the macroscopic view based on the elastic-plastic broken line theory.
keywords：
基金：
论文图表：
引用
导出参考文献
no.****
同行评议
勘误表
塑性状态应力场的细观研究
评论
全部评论