- Authors:
-
Auricchio, Ferdinando; Bonetti, Elena; Marigonda, Antonio
- Title:
-
A metric approach to plasticity via Hamilton-Jacobi equation
- Year:
-
2010
- Type of item:
-
Articolo in Rivista
- Tipologia ANVUR:
- Articolo su rivista
- Language:
-
Inglese
- Format:
-
A Stampa
- Referee:
-
Sì
- Name of journal:
- MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
- ISSN of journal:
- 0218-2025
- N° Volume:
-
20
- Number or Folder:
-
9
- Page numbers:
-
1617-1647
- Keyword:
-
plasticity models; metric associated to Hamilton-Jacobi equation; dissipative metric; energetic formulation
- Short description of contents:
- 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.
- Product ID:
-
57930
- Handle IRIS:
-
11562/344803
- Deposited On:
-
October 27, 2010
- Last Modified:
-
November 11, 2022
- Bibliographic citation:
-
Auricchio, Ferdinando; Bonetti, Elena; Marigonda, Antonio,
A metric approach to plasticity via Hamilton-Jacobi equation
«MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES»
, vol.
20
, n.
9
,
2010
,
pp. 1617-1647
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