Localizing Implicit Gradient Damage Based Treatment of Softening in Elasto-plasticity

Yaşayanlar, Süleyman; Kaçmaz, B.; Özdemir, İzzet

doi:10.1016/j.prostr.2021.12.043

Cited by 4 publications

(2 citation statements)

References 12 publications

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“…Even with different physical interpretations, the results in [16,17] both render thin damage profiles. The so-called localizing gradient-enhanced approach in [17] has attracted much research interest and has been investigated and extended to inelastic characteristics, for example, ductile failure [18][19][20]. Another approach -micromorphic damage in [21,22], could also render a thin damage profile that even resembles fracture.…”

Section: Introductionmentioning

confidence: 99%

Concrete failure based on a localizing gradient‐enhanced damage formulation coupled with plasticity

Zhao,

Yin,

Kaliske

2023

Proc Appl Math and Mech

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Investigations of the mechanical behavior of concrete, including plastic deformability and failure mechanisms, have always been of vital importance. In this work, a modified yield criterion with three surfaces is proposed to capture the plastic yielding behavior under different loading conditions. The failure, that is, the gradual degradation and the final loss of material integrity, can be described through a damage concept. For the purpose of robust finite element (FE) implementations as well as the failure description at an appropriate scale, a localizing gradient‐enhanced damage model has been adopted. As such, one obtains mesh‐insensitive material responses, while ruling out the unphysical damage broadening observed in conventional gradient‐enhanced damage models with a constant regularization length. Following a consistent derivation, the plasticity‐damage coupled model is implemented into an in‐house FE framework, based on which an experiment‐inspired example is simulated to illustrate the capability of the proposed description in concrete modeling, especially the mixed‐mode failure. Lastly, the conclusion provides some final insights.

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Section: Introductionmentioning

confidence: 99%

Concrete failure based on a localizing gradient‐enhanced damage formulation coupled with plasticity

Zhao,

Yin,

Kaliske

2023

Proc Appl Math and Mech

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“…At the end, the classical model behavior is retrieved. A similar method was proposed in [79] for ductile damage, and recently in [80,81]. In these contributions, an exponential function A(p) is introduced within a large deformation constitutive framework.…”

mentioning

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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A modified cap plasticity description coupled with a localizing gradient-enhanced approach for concrete failure modeling

et al. 2023

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The modeling of concrete has always been of great interest. In this work, a yield criterion with three surfaces is proposed to capture the plastic yielding behavior under different loading conditions, including uniaxial tension/compression, biaxial tension/compression and tension-compression. Material failure, characterized by the degradation and finally the complete loss of material integrity, can be modeled by the continuum damage approach. Within finite element methods, the nonlocal enhancement of integral-type or gradient-type is often required for the well-posedness of the partial differential equation system. In this work, a localizing gradient damage model has been adopted to obtain mesh-insensitive material responses, while ruling out the unphysical broadening of the damage zone often observed in constant length scale gradient damage models. Following a consistent derivation, the plasticity-damage coupled model has been implemented into an in-house finite element framework. Several representative and demonstrative examples serve to illustrate the capability of the proposed description in concrete modeling, followed by the conclusion, where some final insights are provided.

show abstract

Localizing Implicit Gradient Damage Based Treatment of Softening in Elasto-plasticity

Cited by 4 publications

References 12 publications

Concrete failure based on a localizing gradient‐enhanced damage formulation coupled with plasticity

Concrete failure based on a localizing gradient‐enhanced damage formulation coupled with plasticity

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

A modified cap plasticity description coupled with a localizing gradient-enhanced approach for concrete failure modeling

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