In this paper based on the multiplicative decomposition of the deformation gradient, the plastic spin tensor and the plastic spin corotational rate are introduced. Using this rate (and also log-rate), an elastic-plastic constitutive model for hardening materials are proposed. In this model, the Armstrong-Frederick kinematic hardening and the isotropic hardening equations are used. The proposed model is solved for the simple shear problem with the material properties of the stainless steel SUS 304. The results are compared with those obtained experimentally by Ishikawa . This comparison shows a good agreement between the results of proposed theoretical model and the experimental data. As another example, the Prager kinematic hardening equation is used. In this case, the stress results are compared with those obtained by Bruhns et al. , in which they used the additive decomposition of the strain rate tensor.
Elastic-Plastic Modeling of Hardening Materials Using a Corotational Rate Based on the Plastic Spin Tensor
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Ghavam, K, & Naghdabadi, R. "Elastic-Plastic Modeling of Hardening Materials Using a Corotational Rate Based on the Plastic Spin Tensor." Proceedings of the ASME 2007 Pressure Vessels and Piping Conference. Volume 3: Design and Analysis. San Antonio, Texas, USA. July 22–26, 2007. pp. 439-446. ASME. https://doi.org/10.1115/PVP2007-26426
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