수정된 구성방정식의 적분법을 이용한 단열전단밴드의 유한요소 해석

Abstract

This paper is concerned with modified integration algorithm on the strain-space for rate and temperature dependent elasto-plastic constitutive relations in order to obtain more accurate results in numerical implementation. The proposed algorithm adopts both the 2-stage Lobatto IIIA with second-order accuracy and the iteration procedure using the Newton-Raphson method to enforce consistency at the end of the step. The algorithm is able to consider the convective stress rates on the yield surface in the strain-space in the numerical integration of the constitutive model. The numerical analysis of the adiabatic shear band is carried out in order to demonstrate the accuracy of the proposed algorithm for rate and temperature dependent constitutive relation.