Some Variational Principles for Coupled Thermoelasticity

The nonlinear thermoelasticity of type II proposed by Green and Naghdi is considered. The thermoelastic structural model is formulated in a quasistatic range, and the related thermoelastic variational formulation in the complete set of state variables is recovered. Hence a consistent framework to de...

Full description

Saved in:
Bibliographic Details
Main Author: Francesco Marotti de Sciarra
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Engineering
Online Access:http://dx.doi.org/10.1155/2013/516462
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The nonlinear thermoelasticity of type II proposed by Green and Naghdi is considered. The thermoelastic structural model is formulated in a quasistatic range, and the related thermoelastic variational formulation in the complete set of state variables is recovered. Hence a consistent framework to derive all the variational formulations with different combinations of the state variables is provided, and a family of mixed variational formulations, with different combinations of state variables, is provided starting from the general variational formulation. A uniqueness condition is provided on the basis of a suitable variational formulation.
ISSN:2314-4904
2314-4912