[SY-A4] A new E-VPSC polycrystal formulation: applications
In this presentation we implement an elasto-visco-plastic (E-VPSC) polycrystal formulation described in a companion paper [1]. In this formulation the contribution of elasticity is introduced as an eigen strain rate into the visco-plastic regime of each grain. The VPSC model of Lebensohn and Tomé [2] provides the implementation platform for the new E-VPSC formulation. The new model is validated by conducting several applications as follows:
Simple uniaxial tension test to validate the model and to demonstrate the numerical performance in comparison with the VPSC model [2], a separate E-VPSC model [3], and a rate insensitive EPSC model [4]. Large strain cyclic shear of low-carbon steel using Voce hardening law to demonstrate the Bauschinger effect. The results are compared with the VPSC-RGVB model [5], where the back-stress is linked to evolution of dislocation structures. Relaxation of internal stress in steel subjected to strain holds during tensile testing.
[1] C.N. Tomé, Y. Jeong, “A new E-VPSC formulation: fundamentals”, this conference
[2] R.A. Lebensohn, C.N. Tomé, “A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: application to zirconium alloys”, Acta Metallurgica et Materialia 41 (1993) 2611-2624
[3] H. Wang, P.D. Wu, C.N. Tomé, Y. Huang, “A finite strain elastic-viscoplastic self-consistent model for polycrystalline materials”, Journal of the Mechanics and Physics of Solids 58 (2010) 594-612
[4] P.A. Turner, C.N. Tomé, "A study of residual stresses in Zircaloy-2 with rod texture", Acta metall mater 42 (1994) 4143-53
[5] W. Wen, M. Borodachenkova, C.N. Tomé, G. Vincze, E.F. Rauch, F. Barlat, J.J. Gracio, “Mechanical behavior of low carbon steel subjected to strain path changes: experiments and modeling”, Acta Materialia 111 (2016) 305-314
Simple uniaxial tension test to validate the model and to demonstrate the numerical performance in comparison with the VPSC model [2], a separate E-VPSC model [3], and a rate insensitive EPSC model [4]. Large strain cyclic shear of low-carbon steel using Voce hardening law to demonstrate the Bauschinger effect. The results are compared with the VPSC-RGVB model [5], where the back-stress is linked to evolution of dislocation structures. Relaxation of internal stress in steel subjected to strain holds during tensile testing.
[1] C.N. Tomé, Y. Jeong, “A new E-VPSC formulation: fundamentals”, this conference
[2] R.A. Lebensohn, C.N. Tomé, “A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: application to zirconium alloys”, Acta Metallurgica et Materialia 41 (1993) 2611-2624
[3] H. Wang, P.D. Wu, C.N. Tomé, Y. Huang, “A finite strain elastic-viscoplastic self-consistent model for polycrystalline materials”, Journal of the Mechanics and Physics of Solids 58 (2010) 594-612
[4] P.A. Turner, C.N. Tomé, "A study of residual stresses in Zircaloy-2 with rod texture", Acta metall mater 42 (1994) 4143-53
[5] W. Wen, M. Borodachenkova, C.N. Tomé, G. Vincze, E.F. Rauch, F. Barlat, J.J. Gracio, “Mechanical behavior of low carbon steel subjected to strain path changes: experiments and modeling”, Acta Materialia 111 (2016) 305-314