A reduced integration-based solid-shell finite element formulation for gradient-extended damage

Barfusz, Oliver; Velden, Tim van der; Brepols, Tim; Holthusen, Hagen; Reese, Stefanie

doi:10.1016/j.cma.2021.113884

Cited by 16 publications

(3 citation statements)

References 66 publications

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“…Due to the additional EAS parameter, for every 𝜁 ∈ [−1, 1] there exists a solution for k 3 and 𝛼 1 that fulfills (27) . Thus, the generic 7-parameter shell element is free from LPS.…”

Section: Methods To Avoid Lpsmentioning

confidence: 99%

“…It was developed with the goal of efficiently performing forming simulations with elasto‐plastic material behavior. Recently, extensions of this element formulation towards gradient‐extended damage have been presented in References 27 and 28. It uses reduced integration with one integration point in the shell plane and an arbitrary number of integration points in thickness direction.…”

Section: Numerical Examplesmentioning

confidence: 99%

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Investigation and elimination of nonlinear Poisson stiffening in 3d and solid shell finite elements

Willmann

Bieber

Bischoff

2022

Numerical Meth Engineering

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We show that most geometrically nonlinear three‐dimensional shell elements and solid shell elements suffer from a previously unknown artificial stiffening effect that only appears in geometrically nonlinear problems, in particular in the presence of large bending deformations. It can be interpreted as a nonlinear variant of the well‐known Poisson thickness locking effect. We explain why and under which circumstances this phenomenon appears and propose concepts to avoid it.

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Section: Methods To Avoid Lpsmentioning

confidence: 99%

Section: Numerical Examplesmentioning

confidence: 99%

Investigation and elimination of nonlinear Poisson stiffening in 3d and solid shell finite elements

Willmann

Bieber

Bischoff

2022

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…Moreover, the model's efficiency could further be improved by advanced finite element technology using reduced integration and hourglass stabilization, which has already been applied successfully to different multifield problems, e.g. for electromagnetic (Reese et al [2005]) and thermomechanical coupling (Juhre and Reese [2010]) as well as gradient-extended damage (Barfusz et al [2021(Barfusz et al [ , 2022). Additionally, the incorporation of initially and induced anisotropic material behavior following e.g.…”

Section: Introductionmentioning

confidence: 99%

Modeling moving boundary value problems in electrochemical machining

Velden¹,

Ritzert²,

Reese³

et al. 2022

Preprint

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This work presents a new approach to efficiently model the cathode in the moving boundary value problem of electrochemical machining. Until recently, the process simulation with finite elements had the drawback of remeshing required by the changing surface geometries. This disadvantage was overcome by a novel model formulation for the anodic dissolution that utilizes effective material parameters as well as the dissolution level as an internal variable and, thereby, does not require remeshing. Now, we extend this concept to model arbitrarily shaped and moving cathodes. Two methodologies are investigated to describe the time varying position of the cathode. In the first approach, we change the electric conductivity of elements within the cathode and, in a second approach, we apply Dirichlet boundary conditions on the nodes of corresponding elements. For both methods, elements on the cathode's surface are treated with effective material parameters. This procedure allows for the efficient simulation of industrially relevant, complex geometries without mesh adaptation. The model's performance is validated by means of analytical, numerical and experimental results from the literature. The short computation times make the approach interesting for industrial applications.

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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 reduced integration-based solid-shell finite element formulation for gradient-extended damage

Cited by 16 publications

References 66 publications

Investigation and elimination of nonlinear Poisson stiffening in 3d and solid shell finite elements

Investigation and elimination of nonlinear Poisson stiffening in 3d and solid shell finite elements

Modeling moving boundary value problems in electrochemical machining

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

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