Modeling size effects in microwire torsion: A comparison between a Lagrange multiplier-based and a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1676" altimg="si408.svg"><mml:mrow><mml:mi>C</mml:mi><mml:mi>u</mml:mi><mml:mi>r</mml:mi><mml:mi>l</mml:mi><mml:msup><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>gradient crystal plasticity model

Phalke, Vikram; Kaiser, Tobias; Scherer, Jean–Michel; Forest, Samuel

doi:10.1016/j.euromechsol.2022.104550

Cited by 9 publications

(2 citation statements)

References 68 publications

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“…19. Similar increased cyclic hardening was observed in cyclic torsion by Phalke et al (2021). This size-dependent hardening effect can now be controlled by means of the additional parameter k using the ∇r-model, as illustrated by Fig.…”

Section: Cyclic Simple Bendingsupporting

confidence: 59%

“…The fact that the cumulative plastic strain p is always increasing during any plastic loading leads to unbounded enhanced hardening which may well be physically irrelevant. This is particularly the case for cyclic loading where unlimited size-dependent cyclic hardening is predicted, especially for cyclic bending and torsion of bars (Phalke et al, 2021;Abatour et al, 2022). A model based on the gradient of the equivalent plastic strain instead of the cumulative one leads to bounded cyclic hardening, as demonstrated by Jebahi and Forest (2021), but its use is also associated with difficulties for vanishing plastic strain values.…”

Section: Introductionmentioning

confidence: 99%

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Strain gradient plasticity based on saturating variables

Abatour

Forest

2024

European Journal of Mechanics - A/Solids

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Section: Cyclic Simple Bendingsupporting

confidence: 59%

Section: Introductionmentioning

confidence: 99%

Strain gradient plasticity based on saturating variables

Abatour

Forest

2024

European Journal of Mechanics - A/Solids

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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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