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. BonettiSecondo
;
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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
S0218202510004726.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
283.48 kB
Formato
Adobe PDF
|
283.48 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
