๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On thermodynamically consistent models and gradient structures for thermoplasticity

โœ 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

No coin nor oath required. For personal study only.

โœฆ 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 entropyโ€production 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 WILEYโ€VCH Verlag GmbH & Co. KGaA, Weinheim)


๐Ÿ“œ SIMILAR VOLUMES


Theory and numerics of a thermodynamical
โœ Tina Liebe; Paul Steinmann ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 490 KB

## 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

Theoretical and computational aspects of
โœ T. Liebe; P. Steinmann; A. Benallal ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 311 KB

This paper presents the theory and the numerics of an isotropic gradient damage formulation within a thermodynamical background. The main motivation is provided by localization computations whereby classical local continuum formulations fail to produce physically meaningful and numerically convergin

A thermodynamic consistent 1D model for
โœ Klinkel, S. ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 222 KB

This paper represents a macroscopic constitutive law for domain switching e ects, which occur in piezoelectric ceramics. The thermodynamical framework of the law is based on two scalar valued functions: the Helmholtz free energy and a switching surface. In the general sense of a kinematic hardening