A gradient-extended large-strain anisotropic damage model with crack orientation director

Dorn, Christian; Wulfinghoff, Stephan

doi:10.1016/j.cma.2021.114123

Cited by 7 publications

(3 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Also the extension to an induced anisotropic electric conductivity formulation due to oxide layers in analogy to anisotropic damage formulations (cf. References 51‐53) promises a worthwhile modification. Furthermore, the consideration of mass transfer, hydrogen generation and fluid mechanical effects following References 54‐56 would yield a valuable model extension.…”

Section: Discussionmentioning

confidence: 99%

A novel numerical strategy for modeling the moving boundary value problem of electrochemical machining

Velden

Ritzert

Reese

et al. 2023

Numerical Meth Engineering

View full text Add to dashboard Cite

This work presents a new numerical approach to efficiently model the cathode's moving surface 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 an innovative 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 suggest a new numerical method to model arbitrarily shaped and moving cathodes. Two methodologies are investigated to describe the time varying position of the cathode and compared in terms of implementational effort and numerical efficiency. 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.

show abstract

Section: Discussionmentioning

confidence: 99%

A novel numerical strategy for modeling the moving boundary value problem of electrochemical machining

Velden

Ritzert

Reese

et al. 2023

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…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%

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

View full text Add to dashboard Cite

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.

show abstract

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

van der Velden,

Brepols,

Reese

et al. 2024

Numerical Meth Engineering

View full text Add to dashboard Cite

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.

show abstract

A gradient-extended large-strain anisotropic damage model with crack orientation director

Cited by 7 publications

References 29 publications

A novel numerical strategy for modeling the moving boundary value problem of electrochemical machining

A novel numerical strategy for modeling the moving boundary value problem of electrochemical machining

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

Contact Info

Product

Resources

About