On the regularization for ductile damage models

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Abstract: Modeling softening behavior often leads to ill‐posed boundary value problems. This, in turn, results in pathological mesh‐dependent computations as far as the finite‐element‐method is concerned. A by now widely used technique to eliminate these problems is the micromorphic approach by [1,2]. This regularization technique implicitly includes gradients of internal variables into the constitutive model. However, and in contrast to other gradient‐enhanced models, the micromorphic approach preserves the local structure of the underlying local constitutive model. Within this contribution, it is first shown that a standard application of this approach to ductile damage models does not work. By analyzing the respective equations, a modification of the regularization technique is elaborated – first for an isotropic ductile damage model, i.e. scalar‐valued damage. Subsequently, the novel regularization is extended to tensor‐valued damage models.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: On the regularization for ductile damage models ; volume:19 ; number:1 ; year:2019 ; extent:4
Proceedings in applied mathematics and mechanics ; 19, Heft 1 (2019) (gesamt 4)

Creator: Langenfeld, Kai
Möhring, Kerstin
Walther, Frank
Mosler, Jörn

DOI: 10.1002/pamm.201900003

URN: urn:nbn:de:101:1-2022072208280080389240

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:35 AM CEST

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Langenfeld, Kai
Möhring, Kerstin
Walther, Frank
Mosler, Jörn

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On the regularization for ductile damage models

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Other Objects (12)

Variational regularization of damage models based on the emulated RVE

Variational regularization of damage models based on the emulated RVE

Simulation of Ductile Damage using Ponte Castaneda Micromechanical Model

Analysis of effects of material anisotropy on ductile damage using microscopic unit‐cell model

A continuum damage model for anisotropic ductile metals based on experiments and numerical simulations

Gradient damage model for ductile fracture introducing degradation of damage hardening modulus: implementation and experimental investigations

Engineering damage mechanics : ductile, creep, fatigue and brittle failures

Multiscale investigation of ductile damage in dual phase steels

Experiments on Low–Cycle Ductile Damage and Failure Under Biaxial Loading Conditions

Micro-mechanical numerical analysis on ductile damage in multiaxially loaded anisotropic metals

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

Variational regularization of damage models based on the emulated RVE

Variational regularization of damage models based on the emulated RVE

Simulation of Ductile Damage using Ponte Castaneda Micromechanical Model

Analysis of effects of material anisotropy on ductile damage using microscopic unit‐cell model

A continuum damage model for anisotropic ductile metals based on experiments and numerical simulations

Gradient damage model for ductile fracture introducing degradation of damage hardening modulus: implementation and experimental investigations

Engineering damage mechanics : ductile, creep, fatigue and brittle failures

Multiscale investigation of ductile damage in dual phase steels

Experiments on Low–Cycle Ductile Damage and Failure Under Biaxial Loading Conditions

Micro-mechanical numerical analysis on ductile damage in multiaxially loaded anisotropic metals

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

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Variational regularization of damage models based on the emulated RVE

Simulation of Ductile Damage using Ponte Castaneda Micromechanical Model

Analysis of effects of material anisotropy on ductile damage using microscopic unit‐cell model

A continuum damage model for anisotropic ductile metals based on experiments and numerical simulations

Gradient damage model for ductile fracture introducing degradation of damage hardening modulus: implementation and experimental investigations

Engineering damage mechanics : ductile, creep, fatigue and brittle failures

Multiscale investigation of ductile damage in dual phase steels

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Micro-mechanical numerical analysis on ductile damage in multiaxially loaded anisotropic metals

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

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