粘塑性材料结构的有限元分析方法

本文针对Ｗａｌｋｅｒ粘塑性本构方程，通过发展一自适应变步长积分算法，用户子程序的方法把该本构方程结合进了国际著名的非线性有限元软件ＡＢＡＱＵＳ，并进行了算例验证。它包括了四种单元类型，可考虑材料变形的率相关，加载的循环、非等温、变温等情况。适用于发动机热端部件非线性结构分析。

A FINITE ELEMENT METHOD FOR STRUCTURE OF VISCOELASTIC MATERIALS

On the basis of the Walker viscoelastic constitutive theory,after developing a self-adaptive time integration method for the constitutive equation,the authors implemented the Walker constitutive equation into the general-purpose non-linear finite element software ABAQUS through the user-defined subroutine UMAT,and finished benchmarks for rate dependence,cyclic,thermal recovery,non-thermal and varied loading conditions.In coded subroutine four element types were included,and the integration method has the monitor mechanism for successful integration.In the light of comparison with the results in publication,the calculated results are satisfied,and the accuracy and efficiency are acceptable.The coded subroutine can be applied to the nonlinear structure analysis of aeroengine hot sections.