Implicit Integration by Linearization for High-Temperature Inelastic Constitutive Models

摘要: In this study, a linearization approach is used to develop an implicit integration scheme for the high-temperature inelastic constitutive models based on non-linear kinematic hardening. A non-unified model first considered in which strain rate divided into transient and steady parts driven, respectively, by effective stress applied stress. By discretizing relations using backward Euler method, linearizing resulting discretized relations, tensor equation derived iteratively achieve of variables. The developed shown be applicable unified back evolves due static dynamic recoveries addition then programmed as subroutine finite element code lead-free solder joint analysis. It thus demonstrated that affords quadratic convergence iteration even considerably large increments, give almost same results each other