Strongly non‐local gradient‐enhanced finite strain elastoplasticity

Geers, Mgd Marc; Ubachs, Rljm René; Engelen, R.A.B.

doi:10.1002/nme.654

Cited by 77 publications

(64 citation statements)

References 72 publications

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“…Ductile damage is modelled here by means of a gradient enhanced hyperelastoplastic model proposed by Geers et al [21], which extends an earlier small strain model [20] to a large strain setting. In this model, isotropic damage is introduced as a multiplicative degradation of the yield stress.…”

Section: Continuum Modelmentioning

confidence: 99%

“…For the sake of completeness, the governing model equations are briefly discussed. The interested reader is referred to Reference [21] for a detailed description.…”

Section: Continuum Modelmentioning

confidence: 99%

“…The finite element implementation of the non-local damage-plasticity model used here has been described in detail by Geers et al [21]. The governing PDEs of the continuum problem, the equilibrium equation (14) and the non-local averaging equation (12), are cast in a weak form and discretized by finite element shape functions.…”

Section: Aspects Of the Finite Element Implementationmentioning

confidence: 99%

“…Implicit gradient models are strongly non-local, like integral models [16][17][18], with the advantage that they are simpler to implement and more efficient. They have been used in brittle [19] and ductile damage, for small [20] and large strains [21,22].…”

Section: Introductionmentioning

confidence: 99%

“…Ductile damage is modelled by a strongly non-local gradient hyperelastoplasticity model [21], the main features of which are that: (i) it accounts for long range microstructural interactions (strong non-locality); (ii) it does not suffer from pathological mesh dependence; (iii) it can deal with large strains and rotations; (iv) it shows convergence to a discrete crack upon complete failure. It is emphasized that the damage field which is used to model the plastic degradation process influences the local yield stress and thus causes strain softening.…”

Section: Introductionmentioning

confidence: 99%

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Discrete crack modelling of ductile fracture driven by non‐local softening plasticity

Mediavilla

Peerlings

Geers

2006

Numerical Meth Engineering

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SUMMARYA combined approach towards ductile damage and fracture is presented, in the sense that a continuous material degradation is coupled with a discrete crack description for large deformations. Material degradation is modelled by a gradient enhanced damage-hyperelastoplasticity model. It is assumed that failure occurs solely due to plastic straining, which is particularly relevant for shear dominated problems, where the effect of the hydrostatic stress in triggering failure is less important. The gradient enhancement eliminates pathological localization effects which would normally result from the damage influence. Discrete cracks appear in the final stage of local material failure, when the damage has become critical. The rate and the direction of crack propagation depend on the evolution of the damage field variable, which in turn depends on the type of loading. In a large strain finite element framework, remeshing allows to incorporate the changing crack geometry and prevents severe element distortion. Attention is focused on the robustness of the computations, where the transfer of variables, which is needed after each remeshing, plays a crucial role. Numerical examples are shown and comparisons are made with published experimental results.

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Section: Continuum Modelmentioning

confidence: 99%

“…For the sake of completeness, the governing model equations are briefly discussed. The interested reader is referred to Reference [21] for a detailed description.…”

Section: Continuum Modelmentioning

confidence: 99%

Section: Aspects Of the Finite Element Implementationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Discrete crack modelling of ductile fracture driven by non‐local softening plasticity

Mediavilla

Peerlings

Geers

2006

Numerical Meth Engineering

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Local and Nonlocal Modeling of Ductile Damage

Sá

Pires

Andrade

2010

Advanced Computational Materials Modeling

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An efficient 3D implicit approach for the thermomechanical simulation of elastic–viscoplastic materials submitted to high strain rate and damage

Jeunechamps

Ponthot

2013

Numerical Meth Engineering

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SUMMARYThis paper aims at presenting a general consistent numerical formulation able to take into account, in a coupled way, strain rate, thermal and damage effects on the behavior of materials submitted to quasistatic or dynamic loading conditions in a large deformation context. The main features of this algorithmic treatment are as follows: A unified treatment for the analysis and implicit time integration of thermo‐elasto‐viscoplastic constitutive equations including damage that depends on the strain rate for dynamic loading conditions. This formalism enables us to use dynamic thermomechanically coupled damage laws in an implicit framework. An implicit framework developed for time integration of the equations of motion. An efficient staggered solution procedure has been elaborated and implemented so that the inertia and heat conduction effects can be properly treated. An operator split‐based implementation, accompanied by a unified method to analytically evaluate the consistent tangent operator for the (implicit) coupled damage–thermo‐elasto‐viscoplastic problem. The possibility to couple any hardening law, including rate‐dependent models, with any damage model that fits into the present framework.All the developments have been considered in the framework of an implicit finite element code adapted to large strain problems. The numerical model will be illustrated by several applications issued from the impact and metal‐forming domains. All these physical phenomena have been included into an oriented object finite element code (implemented at LTAS‐MN 2L, University of Liège, Belgium) named Metafor.Copyright © 2013 John Wiley & Sons, Ltd.

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Strongly non‐local gradient‐enhanced finite strain elastoplasticity

Cited by 77 publications

References 72 publications

Discrete crack modelling of ductile fracture driven by non‐local softening plasticity

Discrete crack modelling of ductile fracture driven by non‐local softening plasticity

Local and Nonlocal Modeling of Ductile Damage

An efficient 3D implicit approach for the thermomechanical simulation of elastic–viscoplastic materials submitted to high strain rate and damage

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