Failure zone homogenization for modeling damage- and debonding-induced softening in composites including gradient-extended damage at finite strains

Poggenpohl, Lukas; Holthusen, Hagen; Simon, Jaan‐Willem

doi:10.1016/j.ijplas.2022.103277

Cited by 9 publications

(1 citation statement)

References 60 publications

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“…With the help of an intensive parameter study, it has been shown that this holds true for the current model for a wide range of considered RUCs and different parameter sets [37]. Noteworthy, as we have shown in [38], this result can be extended also to debonding interfaces by adding an additional energy term. However, this is out of the scope of the current work.…”

Section: Materials Model For Gradient Extended Damage Progressionsupporting

confidence: 60%

Averaging techniques for microstructures with localization bands due to damage progression

Simon

Poggenpohl

Holthusen

2023

Proc Appl Math and Mech

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In multiscale analysis, homogenization methods are needed to up-scale the micromechanical response obtained from investigating the underlying microstructure to the next higher scale. The standard homogenization schemes are based on volume averaging over the entire microstructure following Hill's approach, which requires that the virtual energies generated on the two involved scales equalize. However, these standard homogenization schemes are not applicable to softening phenomena due to localization, and representativeness of the considered microscale volume is lost. One way to overcome these drawbacks is to perform the volume averaging only within the localizing failure zone. Thereby, representative results can be achieved even in the softening region. In this paper, we apply the failure zone homogenization approach to both, mode I and mode II loading scenarios, as well as mixed-mode loading of long fiber reinforced plastics. For an accurate description of material failure within the epoxy matrix, a scalar damage model at large strains with gradient enhancement is used, such that the obtained results are mesh-independent. As a result, we show that for all considered cases representative volume element (RVE) sizes can be determined by using the failure zone homogenization scheme. Nevertheless, the energy distributions of all involved mechanisms have to be considered carefully in order to allow generalizations.

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Section: Materials Model For Gradient Extended Damage Progressionsupporting

confidence: 60%

Averaging techniques for microstructures with localization bands due to damage progression

Simon

Poggenpohl

Holthusen

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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Micromechanism-based chemo-mechanical cohesive model for polymer interface under transient chemical mass diffusion

Zhou,

Liu,

Mao

et al. 2023

International Journal of Plasticity

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Failure zone homogenization for modeling damage- and debonding-induced softening in composites including gradient-extended damage at finite strains

Cited by 9 publications

References 60 publications

Averaging techniques for microstructures with localization bands due to damage progression

Averaging techniques for microstructures with localization bands due to damage progression

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

Micromechanism-based chemo-mechanical cohesive model for polymer interface under transient chemical mass diffusion

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