Data di Pubblicazione:
2010
Citazione:
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]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
dissipative metric; energetic formulation; metric associated to Hamilton-Jacobi equation; Plasticity models; Applied Mathematics; Modeling and Simulation
Elenco autori:
F. Auricchio, E. Bonetti, A. Marigonda
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