Finite element formulation for the simulation of hot sheet metal forming processes. (English) Zbl 0631.73038
Simulation of sheet metal forming processes involves large deformation analysis. In this paper, the finite element method has been utilized for a consistent analysis of coupled thermomechanical large deformation of metals. A time-dependent elastic-viscoplastic model has been used to represent the flow type behavior of metals at elevated temperatures. The proposed model incorporates initial anisotropy and temperature dependence of metals. A proper choice of objective stress rate, suitable for anisotropic materials has been made. Integration of the rate constitutive equations is carried by a return mapping algorithm. A special Lagrangian- Eulerian three dimensional finite element mesh description has been used to avoid the typical problems encountered in a Lagrangian description. A technique for solving the coupled equations is suggested.
MSC:
| 74C15 | Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) |
| 74C20 | Large-strain, rate-dependent theories of plasticity |
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 65K10 | Numerical optimization and variational techniques |
| 74H99 | Dynamical problems in solid mechanics |
Keywords:
quasi-Newton iterative scheme; operator splitting; global solution algorithm; large deformation; coupled thermomechanical large deformation; time-dependent elastic-viscoplastic model; initial anisotropy; temperature dependence; choice of objective stress rate; Integration; rate constitutive equations; return mapping algorithm; Lagrangian- Eulerian three dimensional finite element meshReferences:
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