Efficient gradient enhancements for plasticity with ductile damage in the logarithmic strain space

Friedlein, Johannes; Mergheim, Julia; Steinmann, Paul

doi:10.1016/j.euromechsol.2023.104946

Cited by 9 publications

(2 citation statements)

References 70 publications

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“…A remedy for isotropic damage models was proposed by Dimitrijevic et al [6] and [7] in the form of gradient-extended models that introduce an additional nonlocal field which is coupled to the local damage variables and, thereby, ensures a regularization. Furthermore, current research is primarily concerned with the modeling of anisotropic material degradation at finite strains (e.g., [8,9]) and the search for efficient regularization techniques for softening phenomena (e.g., [10,11]). Here, the presented model utilizes a second order damage tensor and a finite strain formulation and is applied to purely mechanical problems.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, current research is primarily concerned with the modeling of anisotropic material degradation at finite strains (e.g., [8, 9]) and the search for efficient regularization techniques for softening phenomena (e.g., [10, 11]). Here, the presented model utilizes a second order damage tensor and a finite strain formulation and is applied to purely mechanical problems.…”

Section: Introductionmentioning

confidence: 99%

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An anisotropic damage model for finite strains with full and reduced regularization of the damage tensor

van der Velden,

Holthusen,

Brepols

et al. 2023

Proc Appl Math and Mech

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The modeling of damage as an anisotropic phenomenon enables the consideration of arbitrarily oriented microcracks at the material point level. Yet, the incorporation of material softening into structural simulations still requires a regularization of for example, the degrading variable. There exist different possibilities for a regularization in case of anisotropic damage with varying numbers of nonlocal degrees of freedom corresponding to for example, the symmetric integrity tensor , the principal traces of the damage tensor or a scalar damage hardening variable. Here, we propose a finite strain formulation with a symmetric second order damage tensor of which all six independent components are regularized with a corresponding nonlocal degree of freedom. Due to the significant increase in computational cost caused by the full regularization of the damage tensor, alternative approaches for a reduced regularization with fewer nonlocal degrees of freedom are discussed. Thereafter, the results of a numerical example using the model with full regularization are presented.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An anisotropic damage model for finite strains with full and reduced regularization of the damage tensor

van der Velden,

Holthusen,

Brepols

et al. 2023

Proc Appl Math and Mech

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A comparative study of micromorphic gradient‐extensions for anisotropic damage at finite strains

van der Velden,

Brepols,

Reese

et al. 2024

Numerical Meth Engineering

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Modern inelastic material model formulations rely on the use of tensor‐valued internal variables. When inelastic phenomena include softening, simulations of the former are prone to localization. Thus, an accurate regularization of the tensor‐valued internal variables is essential to obtain physically correct results. Here, we focus on the regularization of anisotropic damage at finite strains. Thus, a flexible anisotropic damage model with isotropic, kinematic, and distortional hardening is equipped with three gradient‐extensions using a full and two reduced regularizations of the damage tensor. Theoretical and numerical comparisons of the three gradient‐extensions yield excellent agreement between the full and the reduced regularization based on a volumetric‐deviatoric regularization using only two nonlocal degrees of freedom.

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A large deformation gradient theory for glassy polymers by means of micromorphic regularization

Hamdoun,

Mahnken

2024

Arch Appl Mech

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Cold forming of polycarbonate films results in the formation of shear bands in the necking zone. The numerical results obtained from standard viscoplastic material models exhibit mesh size dependency, requiring mathematical regularization. For this purpose, we present in this work a large deformation gradient theory for a viscoplastic isotropic material model published before. We extend our model to a micromorphic model by introducing a new micromorphic variable as an additional degree of freedom along with its first gradient. This variable represents a microequivalent plastic strain. The relation between the macroequivalent plastic strain and the micromorphic variable is accomplished by a micromorphic coupling modulus. This coupling forces proximity between the macro- and microvariables, leading to the targeted regularization effect. The micromorphic model is implemented as a three-dimensional initial boundary value problem in an in-house finite element tool. The analysis is performed for both uniaxial and biaxial specimens. The provided numerical examples show the ability of our model to regularize shear bands within the specimens and address the issue of localization.

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Efficient gradient enhancements for plasticity with ductile damage in the logarithmic strain space

Cited by 9 publications

References 70 publications

An anisotropic damage model for finite strains with full and reduced regularization of the damage tensor

An anisotropic damage model for finite strains with full and reduced regularization of the damage tensor

A comparative study of micromorphic gradient‐extensions for anisotropic damage at finite strains

A large deformation gradient theory for glassy polymers by means of micromorphic regularization

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