Ductile Damage in Metal Forming: Advanced Macroscopic Modeling and Numerical Simulation
Résumé
This chapter is dedicated to the presentation of an advanced fully adaptive numerical methodology for virtual sheet and/or bulk metal forming simulation to predict any defects occurrence. First, the detailed formulation of thermodynamically consistent fully coupled, nonlocal constitutive equations is given. Formulated in the framework of the generalized micromorphic continua, the proposed nonlocal constitutive equations account for the main material nonlinearities as the isotropic and kinematic hardening, the thermal exchanges, and the isotropic ductile damage under large inelastic strains. Second, the related numerical aspects required to solve the initial and boundary value problem (IBVP) are presented in the framework of a fully adaptive finite element method. First, the strong and weak forms for the multifunctional IBVP are posed. The well-known static implicit (SI) and dynamic explicit (DE) global resolution schemes are summarized, followed by the detailed presentation of the local integration scheme of the fully coupled constitutive equations. The numerical treatment of the contact and friction is reviewed in the framework of master/slave surfaces method. Finally, some typical examples of sheet and bulk metal forming processes are numerically simulated using the proposed fully adaptive methodology.