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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Tavoosi, M., Sharifian, M. & Sharifian, M. Updating Stress and the Related Elastoplastic Parameters for Lemaitre Damage Model. Iran J Sci Technol Trans Mech Eng 44, 647–659 (2020). https://doi.org/10.1007/s40997-019-00282-3
- von Mises plasticity
- Backward Euler
- Forward Euler
- Lemaitre damage mechanism
- Nonlinear hardening