Thermodynamical consistency of plasticity models is usually written in terms of the so-called "maximum dissipation principle". In this paper, we discuss constitutive relations for dissipative materials written through suitable generalized gradients of a (possibly non-convex) metric. This new framework allows us to generalize the classical results providing an interpretation of the yield function in terms of HamiltonJacobi equations theory.

A metric approach to plasticity via Hamilton-Jacobi equation / F. Auricchio, E. Bonetti, A. Marigonda. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - 20:9(2010), pp. 1617-1647. [10.1142/S0218202510004726]

A metric approach to plasticity via Hamilton-Jacobi equation

E. Bonetti
Secondo
;
2010

Abstract

Thermodynamical consistency of plasticity models is usually written in terms of the so-called "maximum dissipation principle". In this paper, we discuss constitutive relations for dissipative materials written through suitable generalized gradients of a (possibly non-convex) metric. This new framework allows us to generalize the classical results providing an interpretation of the yield function in terms of HamiltonJacobi equations theory.
dissipative metric; energetic formulation; metric associated to Hamilton-Jacobi equation; Plasticity models; Applied Mathematics; Modeling and Simulation
Settore MAT/05 - Analisi Matematica
2010
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/472084
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