Thermodynamic Formulation of Plastic Work Hardening Materials

Ristinmaa, Matti

doi:10.1061/(asce)0733-9399(1999)125:2(152)

Cited by 4 publications

(1 citation statement)

References 10 publications

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“…It is associated with the loading domain E. If the past-history parameter ρ is a scalar equal to e p , the plastic dissipated energy, then a work-hardening behavior is defined, in the sense that the loading function evolves with the plastic dissipated energy. A different approach to define work-hardening plasticity models was proposed by Ristinmaa (1999).…”

Section: The Dual Dissipation Potential φ *mentioning

confidence: 99%

Pseudopotentials and Loading Surfaces for an Endochronic Plasticity Theory with Isotropic Damage

Erlicher

Point

2008

J. Eng. Mech.

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The endochronic theory, developed in the early seventies, allows the plastic behavior of materials to be represented by introducing the notion of intrinsic time. With different viewpoints, several authors discussed the relationship between this theory and the classical theory of plasticity. Two major differences are the presence of plastic strains during unloading phases and the absence of an elastic domain. Later, the endochronic plasticity theory was modified in order to introduce the effect of damage.In the present paper, a basic endochronic model with isotropic damage is formulated starting from the postulate of strain equivalence. Unlike the previous similar analyses, in this presentation the formal tools chosen to formulate the model are those of convex analysis, often used in classical plasticity: namely pseudo-potentials, indicator functions, sub-differentials, etc. As a result, the notion of loading surface for an endochronic model of plasticity with damage is investigated and an insightful comparison with classical models is made possible. A damage pseudo-potential definition allowing a very general damage evolution is given.

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Section: The Dual Dissipation Potential φ *mentioning

confidence: 99%

Pseudopotentials and Loading Surfaces for an Endochronic Plasticity Theory with Isotropic Damage

Erlicher

Point

2008

J. Eng. Mech.

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A new neural network‐based model for hysteretic behavior of materials

Yun

Ghaboussi

Elnashai

2007

Numerical Meth Engineering

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SUMMARYCyclic behavior of materials is complex and difficult to model. A combination of hardening rules in classical plasticity is one possibility for modeling this complex material behavior. Neural network (NN) constitutive models have been shown in the past to have the capability of modeling complex material behavior directly from the results of material tests. In this paper, we propose a novel approach for NN-based modeling of the cyclic behavior of materials. The proposed NN material model uses new internal variables that facilitate the learning of the hysteretic behavior of materials. The same approach can also be used in modeling of the hysteretic behavior of structural systems or structural components under cyclic loadings. The proposed model is shown to be superior to the earlier versions of NN material models. Although the earlier versions of the NN material models were effective in capturing the multi-axial material behavior, they were only tested under cyclic uni-axial state of stress. The proposed NN material model is capable of learning the hysteretic behavior of materials under even non-uniform stress state in multi-dimensional stress space. The performance of the proposed model is demonstrated through a series of examples using actual experimental data and simulated testing data.

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2005

The Mechanics of Constitutive Modeling

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Thermodynamic Formulation of Plastic Work Hardening Materials

Cited by 4 publications

References 10 publications

Pseudopotentials and Loading Surfaces for an Endochronic Plasticity Theory with Isotropic Damage

Pseudopotentials and Loading Surfaces for an Endochronic Plasticity Theory with Isotropic Damage

A new neural network‐based model for hysteretic behavior of materials

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