A METRIC APPROACH TO PLASTICITY VIA HAMILTON-JACOBI EQUATION

作者:Auricchio Ferdinando*; Bonetti Elena; Marigonda Antonio
来源:Mathematical Models and Methods in Applied Sciences, 2010, 20(9): 1617-1647.
DOI:10.1142/S0218202510004726

摘要

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.

  • 出版日期2010-9

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