中文摘要：

A non-local continuum model for strain-softening simply taking plastic strain or damage vari-able as a non-local variable is derived by using the additive decomposition principle of finite deformation gra-dient.At the same time,variational equations,their finite element formulations and numerical convolutedintegration algorithm of the model in current configuration usually called co-moving coordinate system aregiven.Stability and convergence of the model are proven by means of the weak convergence theorem of gen-eral function and the convoluted integration theory.Mathematical and physical properties of the characteris-tic size for material or structure are accounted for within the context of a statistical weighted or kernel func-tion,and way is investigated.Numerical simulation shows that this model is suitable for to analyzing defor-mation localization problems.

英文摘要：

A non-local continuum model for strain-softening simply takingplastic strain or damage vari- able as a non-local variable isderived by using the additive decomposition principle of finitedeformation gra- dient. At the same time, variational equations,their finite element formulations and numerical convolutedintegration algorithm of the model in current configuration usuallycalled co-moving coordinate system are given. stability andconvergence of the model are proven by means of the weak convergencetheorem of gen- eral function and the convoluted integration theory.