TY - JOUR
T1 - Numerical implementation of a thermo-elastic-plastic constitutive equation in consideration of transformation plasticity in welding
AU - Kim, Juwan
AU - Im, Seyoung
AU - Kim, Hyun Gyu
PY - 2005/7
Y1 - 2005/7
N2 - 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.
AB - 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.
KW - FEM
KW - Hyperelastic-based plasticity model
KW - Transformation plasticity
KW - Welding
UR - http://www.scopus.com/inward/record.url?scp=13844298311&partnerID=8YFLogxK
U2 - 10.1016/j.ijplas.2004.06.007
DO - 10.1016/j.ijplas.2004.06.007
M3 - Article
AN - SCOPUS:13844298311
SN - 0749-6419
VL - 21
SP - 1383
EP - 1408
JO - International journal of plasticity
JF - International journal of plasticity
IS - 7
ER -