Numerical methods are normally employed for elastoplastic analysis of structures due to complicated nature of the analyses alongside the absence of a closed analytical solution to these problems. Evidently, the chief part of the analyses comprises the computation of stress which is typically a function of strain history and the related elastoplastic parameters. Accordingly, the choice of the stress-updating method together with the characteristics considered for simulating material behavior directly affects the precision of the structural analysis results. Here, von Mises yield surface with nonlinear isotropic hardening is taken into account along with Lemaitre damage model. Subsequently, forward and backward Euler algorithms are developed for the integration of the pertinent constitutive equations. Finally, a broad set of numerical tests are conducted to evaluate the correctness, precision, convergence rate and efficiency of the suggested schemes.

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更新 Lemaitre 损伤模型的应力和相关弹塑性参数

由于分析的复杂性以及对这些问题的封闭分析解决方案的缺乏，数值方法通常用于结构的弹塑性分析。显然，分析的主要部分包括应力计算，它通常是应变历史和相关弹塑性参数的函数。因此，应力更新方法的选择以及模拟材料行为所考虑的特性直接影响结构分析结果的精度。此处，将具有非线性各向同性硬化的 von Mises 屈服面与 Lemaitre 损伤模型一起考虑在内。随后，为相关本构方程的积分开发了前向和后向欧拉算法。最后，