Reciprocal Theorem of Residual Stress and Inelastic Strain

摘要

We consider a body to have an initial stress field. When the body is loaded beyond the elastic range, a plastic strain occurs in some part of the body. If the body is then unloaded, the plastic strain remains and causes a residual stress field. Now consider the load applied again. This applied load causes stress. There is no increase of plastic strain during this process of unloading and reloading. Plastic strain is one type of inelastic strain. Hence the reciprocal relation of inelastic strain and residual stress is very useful in numerical inelastic analyses. Reprints. (jes)