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- Title
A METRIC APPROACH TO PLASTICITY VIA HAMILTON-JACOBI EQUATION.
- Authors
AURICCHIO, FERDINANDO; BONETTI, ELENA; MARIGONDA, ANTONIO
- 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 Hamilton-Jacobi equations theory.
- Subjects
MATERIAL plasticity; ENERGY dissipation; YIELD-line analysis; HAMILTON-Jacobi equations; NUMERICAL analysis; RHEOLOGY
- Publication
Mathematical Models & Methods in Applied Sciences, 2010, Vol 20, Issue 9, p1617
- ISSN
0218-2025
- Publication type
Article
- DOI
10.1142/S0218202510004726