Convexity of Yield Surface with Directional Distortional Hardening Rules

Plešek, Jiřı́; Feigenbaum, Heidi P.; Dafalias, Yannis F.

doi:10.1061/(asce)em.1943-7889.0000077

Cited by 26 publications

(21 citation statements)

References 14 publications

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“…By comparing the yield surfaces it can be seen that only the novel model allows capturing of the cross hardening effect. The model as advocated in Feigenbaum and Dafalias (2007) and Plesek et al (2010) yields a maximum stress ffiffiffi 2 p R 12 which remains almost constant during the first loading regime (Fig. 3b).…”

Section: Aluminum Alloy Au4g T4 (2024)mentioning

confidence: 89%

“…Again, the model captures all characteristic mechanical features of the considered alloy well: high curvature changes of the yield surface as well as pronounced dynamic and latent hardening. For the sake of comparison, predictions obtained from the model proposed in Feigenbaum and Dafalias (2007) and Plesek et al (2010) are also given in Fig. 3.…”

Section: Aluminum Alloy Au4g T4 (2024)mentioning

confidence: 99%

See 1 more Smart Citation

On the thermodynamically consistent modeling of distortional hardening: A novel generalized framework

Shi

Bartels

Mosler

2014

International Journal of Plasticity

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a b s t r a c tMany important physical effects of materials undergoing plasticity at the macroscale cannot be captured realistically by isotropic and kinematic hardening only. For instance, the evolution of the texture in polycrystals results macroscopically in a distorted yield surface. This paper deals with adequate hardening models for such a distortion. To be more precise, a novel general frame for finite strain plasticity models is elaborated. To the best knowledge of the authors, it is the first one combining the following features: (1) proof of thermodynamical consistency; (2) decomposition of distortional hardening into dynamic hardening (due to currently active dislocations) and latent hardening (due to currently inactive dislocations); (3) difference of the yield surface's curvature in loading direction and in the opposite direction. The cornerstone of this model is a new plastic potential for the evolution equations governing distortional hardening. Although this type of hardening is characterized through a fourth-order tensor as internal variable, the structure of the aforementioned potential is surprisingly simple. Even though the final model is rather complex, it requires only few model parameters. For these parameters, in turn, physically sound bounds based on the convexity condition of the yield surface can be derived. Three different examples demonstrate the predictive capabilities of the novel framework.

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Section: Aluminum Alloy Au4g T4 (2024)mentioning

confidence: 89%

Section: Aluminum Alloy Au4g T4 (2024)mentioning

confidence: 99%

On the thermodynamically consistent modeling of distortional hardening: A novel generalized framework

Shi

Bartels

Mosler

2014

International Journal of Plasticity

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“…However and in contrast to the original work of Feigenbaum and Dafalias (2007); Feigenbaum (2008); Plesek et al (2010), a finite strain description in terms of Mandel stress Σ is employed in order to fulfill the principle of material frame indifference automatically. The hardening behaviour is captured by the stress-like internal variables Q, more explicitly, a scalar-valued variable Q iso for isotropic hardening, and Q kin associated with kinematic hardening.…”

Section: Brief Review Of Feigenbaum Dafalias Modelmentioning

confidence: 99%

“…Focusing on this topic, Feigenbaum & Dafalias did systematic work on distortional hardening, see e.g. Dafalias (1979Dafalias ( , 2000; Dafalias et al (2003); Feigenbaum andDafalias (2007, 2008); Plesek et al (2010); Feigenbaum et al (2012); Feigenbaum and Dafalias (2014). In particular, a thermodynamically consistent distortional hardening model was proposed for Al alloys based on the decomposition of the fourth order tensor defining equivalent stress in Feigenbaum and Dafalias (2007).…”

Section: Introductionmentioning

confidence: 98%

A generalized thermodynamically consistent distortional hardening model for Mg alloys

Shi

Peng

Pan

2015

International Journal of Plasticity

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“…Especially the distortional hardening is addressed by Feigenbaum & Dafalias, Plesek et al . and Shutov et al .…”

Section: Introductionmentioning

confidence: 99%

Generalization of a uniaxial elasto‐plastic material model based on the Prandtl‐Reuss theory

Gelke

Ihlemann

2018

Z Angew Math Mech

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The present paper introduces a material model following the Prandtl‐Reuss theory of time‐independent elasto‐plasticity. Applying a hypo‐elastic relation a material model for uniaxial tension/compression is derived which is completely based on scalar kinematics. Combined isotropic and kinematic hardening is provided in terms of nonlinear formulations showing saturation. The proof of thermodynamic consistency is supplied. Further, the model is generalized by the concept of representative directions and implemented for finite element application, so that arbitrary spatial deformation processes can be simulated. Especially, the elastic response of the model is investigated. Comparative simulations give evidence that spurious phenomena such as shear oscillation and numerically induced ratcheting are absent for the presented generalized material model. Distinct distortional hardening is obtained after generalization describing metal plasticity adequately. Finally the model is extended to show tension/compression anisotropy.

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Convexity of Yield Surface with Directional Distortional Hardening Rules

Cited by 26 publications

References 14 publications

On the thermodynamically consistent modeling of distortional hardening: A novel generalized framework

On the thermodynamically consistent modeling of distortional hardening: A novel generalized framework

A generalized thermodynamically consistent distortional hardening model for Mg alloys

Generalization of a uniaxial elasto‐plastic material model based on the Prandtl‐Reuss theory

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