Journal ArticleDOI
Numerical aspects of finite elastoplasticity with isotropic ductile damage for metal forming
Khemais Saanouni,Abdelhakim Cherouat,Youssef Hammi +2 more
- Vol. 10, pp 327-351
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TLDR
In this article, a fully coupled constitutive equation accounting for both combined isotropic and kinematic hardening as well as the ductile damage is formulated in the framework of Continuum Damage Mechanics (CDM) for evaluating damaged-plastic response of a material submitted to large plastic deformations.Abstract:
This work is devoted to the study of an efficient numerical algorithm for evaluating damaged-plastic response of a material submitted to large plastic deformations. Fully coupled constitutive equations accounting for both combined isotropic and kinematic hardening as well as the ductile damage are formulated in the framework of Continuum Damage Mechanics (CDM). The associated numerical aspects concerning both the local integration of the coupled constitutive equations and the (global) equilibrium integration schemes are presented and implemented into a general purpose Finite Element code (ABAQUS). For the local integration of the fully coupled constitutive equations an efficient implicit and asymptotic scheme is used. Special care is given to the consistent tangent stiffness matrix derivation as well as to the reduction of the number of constitutive equations. Some numerical results are presented to show the numerical performance of the proposed stress calculation algorithm and the capability of t...read more
Citations
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Journal ArticleDOI
On non-associative anisotropic finite plasticity fully coupled with isotropic ductile damage for metal forming
TL;DR: In this article, the effect of the objective derivatives and the equivalent stresses on the plastic flow anisotropy and the hardening evolution with damage is considered using a thermodynamically consistent framework.
Journal ArticleDOI
Numerical prediction of discontinuous central bursting in axisymmetric forward extrusion by continuum damage mechanics
TL;DR: In this paper, a simple isotropic ductile damage model is fully coupled with thermoelastoplastic constitutive equations of Prandtl-Reuss type including nonlinear isotropics hardening and thermal effects.
Journal ArticleDOI
A CDM approach of ductile damage with plastic compressibility
TL;DR: In this article, a modified formalism of continuum damage mechanics is proposed to describe plastic compressibility in the context of ductile damage, using two damage state variables, one of them playing role of porosity in micromechanics based approaches like Gurson's model.
Journal ArticleDOI
On the numerical prediction of the ductile fracture in metal forming
TL;DR: In this paper, fully coupled constitutive equations accounting for combined isotropic and kinematic hardening as well as the isotropically ductile damage are implemented into the general purpose finite element code for metal forming simulation.
Journal ArticleDOI
Adaptive remeshing in large plastic strain with damage
TL;DR: In this paper, the authors give the necessary steps to remesh a mechanical structure during large elasto-plastic deformations with damage, including orthogonal cutting, side-pressing of an infinite cylinder, blanking and backward extrusion with drilling.
References
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Journal ArticleDOI
Consistent tangent operators for rate-independent elastoplasticity☆
Juan C. Simo,R.L. Taylor +1 more
TL;DR: In this paper, it is shown that consistency between the tangent operator and the integration algorithm employed in the solution of the incremental problem plays crucial role in preserving the quadratic rate of asymptotic convergence of iterative solution schemes based upon Newton's method.
Sur les matériaux standard généralisés
Bernard Halphen,Quoc Son Nguyen +1 more
TL;DR: In this paper, the rate equation of the plastic transformation and the internal parameters are written in terms of the dissipation potential, and the constitutive equations are described from the expressions of the energy potential and of the Dissipation potential.
Journal ArticleDOI
On the implementation of inelastic constitutive equations with special reference to large deformation problems
TL;DR: In this paper, the exact virtual work equation for finite element analysis of inelastic problems is presented based on the exact (incremental) virtual work equations, and the procedure for integration of the constitutive rate equations to obtain incremental constitutive equations is based on assumption of a constant strain rate (or straight strain path) during the increment of the Newton-Raphson iteration.
Journal ArticleDOI
On the Anelastic Flow with Damage
TL;DR: Within the thermodynamics of irreversible processes and the concept of in ternal state variables, a general phenomenological theory of coupled damage-elasto-visco (visco)plasticity at small strains is g...
Journal ArticleDOI
Integration methods for complex plastic constitutive equations
J.L. Chaboche,Georges Cailletaud +1 more
TL;DR: In this article, the Finite Element computations with complex plastic and viscoplastic constitutive equations are studied and compared with implicit and explicit integration methods, and numerical tests are performed in order to compare the relative performances of the various approaches.