Application of Twin Shear Unified Elastoplastic Finite Difference Method in Metallic Structures

Abstract

Twin shear unified strength theory is applied to the numerical simulation of metallic structures with the method of elastoplastic finite difference.This work has actual significance for the problem of metallic structures strength or processing research.Firstly,the twin shear unified strength theory and the method of Lagrangian finite difference are briefly introduced.Secondly,the finite difference formulation of twin shear failure criteria and flow rule is derived and the model is loaded into FLAC code with dynamic-link library file compiled by language of C++.Finally,the cases of thick-walled cylinder under internal pressure and perforated plate in tension are calculated.The calculation results of analyses suggest that the precision of Lagrangian finite difference method and finite element method are similar.Twin shear unified strength theory can be applied to the metallic materials with a ratio of shear strength to tension strength between 0.5 and 0.667,so that it will have wide application in numerical simulation of metallic structures.