Numerical implementation of a thermo-elastic–plastic constitutive equation in consideration of transformation plasticity in welding |
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| Institution: | 1. Charles University in Prague, Prague, Czech Republic;2. Institute of Geonics, The Czech Academy of Sciences, Ostrava, Czech Republic;3. St. Petersburg Department of V.A. Steklov Institute of Mathematics of the Russian Academy of Sciences, Russia;4. University of Jyväskylä, Finland;1. Homi Bhabha National Institute, Mumbai 400 084, India;2. Reactor Safety Division, Bhabha Atomic Research Centre, Mumbai 400 085, India;3. Division of Engineering Sciences, Homi Bhabha National Institute, Mumbai 400 094, India;4. Refueling Technology Division, Bhabha Atomic Research Centre, Mumbai 400 085, India |
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| Abstract: | Finite element analysis of welding processes, which entail phase evolution, heat transfer and deformations, is considered in this paper. Attention focuses on numerical implementation of the thermo-elastic–plastic constitutive equation proposed by Leblond et al. J. Mech. Phys. Solids 34(4) (1986a) 395; J. Mech. Phys. Solids 34(4) (1986b) 411] in consideration of the transformation plasticity. Based upon the multiplicative decomposition of deformation gradient, hyperelastoplastic formulation is borrowed for efficient numerical implementation, and the algorithmic consistent moduli for elastic–plastic deformations including transformation plasticity are obtained in the closed form. The convergence behavior of the present implementation is demonstrated via a couple of numerical examples. |
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