## Abstract The paper presents the theory and the numerics of a thermodynamically consistent formulation of gradient plasticity at small strains. Starting from the classical local continuum formulation, which fails to produce physically meaningful and numerically converging results within localizat
On thermodynamically consistent models and gradient structures for thermoplasticity
โ Scribed by Alexander Mielke
- Book ID
- 102217308
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 102 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0936-7195
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โฆ Synopsis
Abstract
It is investigated in what sense thermoplasticity can be written as a generalized gradient system with respect to the total entropy and the entropyโproduction potential. The difficulty is that the quasistatic equilibrium equation for the elastic forces is obtained by minimizing the total energy and that this condition must be eliminated suitably. The subtle interplay between energy and entropy is treated via the formalism of GENERIC (ยฉ 2011 WILEYโVCH Verlag GmbH & Co. KGaA, Weinheim)
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