A two-surface gradient-extended anisotropic damage model using a second order damage tensor coupled to additive plasticity in the logarithmic strain space

Holthusen, Hagen; Brepols, Tim; Reese, Stefanie; Simon, Jaan‐Willem

doi:10.1016/j.jmps.2022.104833

Cited by 20 publications

(18 citation statements)

References 144 publications

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“…In the remaining references, the higher order stresses are decomposed into reversible and dissipative contributions. Enhancements of damage models for simulation of crack initiation and propagation have been proposed recently based on the micromorphic approach, see [89][90][91][92]. The micromorphic approach can also be useful to ease numerical implementation of phase field models as demonstrated recently for twinning plasticity in [93].…”

Section: Discussionmentioning

confidence: 99%

Toward robust scalar-based gradient plasticity modeling and simulation at finite deformations

Abatour¹,

Forest²,

Ammar³

et al. 2022

Acta Mech

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Strain gradient plasticity has been the subject of extensive research in the past forty years in order to model size effects in metal plasticity, on the one hand, and provide finite width shear bands in the simulation of localization phenomena, on the other hand. However, the use of the emerging models is still limited to academic applications and has not yet been adopted by industry practitioners. The present paper systematically reviews the pros and the cons of gradient plasticity at finite strains based on gradient of scalar plastic variables, in particular gradient of the cumulative plastic strain. It proposes benchmark tests addressing both size effect modeling and plastic strain localization simulation. It includes new analytical solutions for validation of FE implementation. It focuses on the micromorphic approach to gradient plasticity, as a convenient method for implementation in FE codes. New features of the analysis include the comparison of three distinct formulations of rate-independent gradient plasticity at finite deformations, based on the multiplicative decomposition of the deformation gradient and on quadratic potentials with respect to gradient terms. The performance of micromorphic and Lagrange-multiplier based strain gradient plasticity models is evaluated for various monotonic and cyclic loading conditions including confined plasticity in simple glide and tension, bending and torsion at large deformations. Limitations are pointed out in the case of bending and torsion, which can be overcome for instance by the use of the gradient of equivalent plastic strain model.

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Section: Discussionmentioning

confidence: 99%

Toward robust scalar-based gradient plasticity modeling and simulation at finite deformations

Abatour¹,

Forest²,

Ammar³

et al. 2022

Acta Mech

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“…With the help of Eqs. ( 6) and ( 7) also additional tangents can be transformed with the common projection tensor P, as also utilised in (Holthusen et al, 2021(Holthusen et al, , 2022.…”

Section: Logarithmic Strain Spacementioning

confidence: 99%

“…On the one hand, the gradient-enhancement is only placed on the damage part of the model leaving plasticity, its implementation and identification unaffected. On the other hand, it is numerically robust (Holthusen et al, 2022) and computationally less demanding than gradient-plasticity, as will be shown later. For the underlying finite plasticity formulation, Sprave and Menzel (2020); Brepols et al (2020) chose a multiplicative plasticity formulation, where the deformation gradient is multiplicatively split into elastic and plastic parts.…”

Section: Introductionmentioning

confidence: 97%

“…For the underlying finite plasticity formulation, Sprave and Menzel (2020); Brepols et al (2020) chose a multiplicative plasticity formulation, where the deformation gradient is multiplicatively split into elastic and plastic parts. In (Horak and Jirásek, 2013;Friedlein et al, 2020;Holthusen et al, 2022), logarithmic strain space plasticity has been used, which enables an additive split of elastic and plastic strains. Using a rotating frame formulation for plasticity, Saanouni and Hamed (2013) developed a general micromorphic theory for the gradient-enhancement of finite plasticity-damage.…”

Section: Introductionmentioning

confidence: 99%

“…However, realistic material models become increasingly complicated, capturing a wide range of behaviours (elasticity, plasticity, damage, failure) including anisotropies and different hardening types (isotropic, kinematic, distortional, non-associative, softening). This makes it tempting to use algorithmically simple frameworks, such as the logarithmic strain space, as for instance done in Holthusen et al (2022) for finite plasticity -anisotropic gradientdamage. However, such advanced constitutive models can suffer from different sources of localisation, e. g. softening plasticity (Dimitrijevic and Hackl, 2011;Anand et al, 2012), non-associative plasticity (Sabet and de Borst, 2019;Neuner et al, 2020) or the plasticity formulation itself (Friedlein et al, 2022).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Friedlein

Mergheim

Steinmann

2023

European Journal of Mechanics - A/Solids

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

Velden

Ritzert

Reese

et al. 2023

Numerical Meth Engineering

Self Cite

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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.

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A two-surface gradient-extended anisotropic damage model using a second order damage tensor coupled to additive plasticity in the logarithmic strain space

Cited by 20 publications

References 144 publications

Toward robust scalar-based gradient plasticity modeling and simulation at finite deformations

Toward robust scalar-based gradient plasticity modeling and simulation at finite deformations

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

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

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