蠕变－弹塑性－损伤耦合响应的有限元分析

本文处理各向异性非线性材料的蠕变。弹塑性－损伤耦合响应的数值计算。建议了一个计算应力的三级向后欧拉积分算法。导出了一个利用Ｎｅｗｔｏｎ－Ｒａｐｈｓｏｎ迭代的一般的直接应力返回映射算法。同时求解应力向量和蠕变、塑性、损伤的内状态变量。也导出了用于全局Ｎｅｗｔｏｎ－Ｒａｐｈ－ｓｏｎ迭代过程的一致性切线矩阵公式。给出的数值例题结果表明所提出的算法和公式在模拟耦合本构行为上的能力和可靠性。

Finite element analysis for coupled creep elastoplastic damage response

This paper deals with the computational aspects of coupled creep elastoplastic damage response for anisotropic,and as a special case isotropic nonlinear materials .A three phase backward Euler integration algorithm for stress update is proposed.For anisotropic nonlinearmaterials a general direct stress return mapping algorithm,using Newton-Raphson iteration,is derived.The stress vector and scalar internal state variables quantifying the incrementalcreep,plasticity and damage are updated simultaneously.The consistent tangent matrix is al-so formulated for use in a global Newton iterative procedure,Numerical examples are givento illustrate the capability and performance of the proposed algorithm and formulations inmodellimg the coupled constitutive behaviour.