Aspects of the nonlinear theory of type II thermoelastostatics

R Quintanilla; Jeyabal Sivaloganathan

doi:10.1016/j.euromechsol.2011.09.002

Aspects of the nonlinear theory of type II thermoelastostatics

R Quintanilla, Jeyabal Sivaloganathan

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

6 Citations (SciVal)

Abstract

In this paper we study the equations of the nonlinear theory of type II Thermoelasticity proposed by Green and Naghdi. We propose a constitutive framework for the free energy function arising in this theory and study various consequences including the existence and uniqueness of quasistatic solutions and the possibility of thermally activated instability.

Original language	English
Pages (from-to)	109-117
Number of pages	9
Journal	European Journal of Mechanics - A/Solids
Volume	32
Issue number	1
DOIs	https://doi.org/10.1016/j.euromechsol.2011.09.002
Publication status	Published - Mar 2012

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10.1016/j.euromechsol.2011.09.002

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title = "Aspects of the nonlinear theory of type II thermoelastostatics",

abstract = "In this paper we study the equations of the nonlinear theory of type II Thermoelasticity proposed by Green and Naghdi. We propose a constitutive framework for the free energy function arising in this theory and study various consequences including the existence and uniqueness of quasistatic solutions and the possibility of thermally activated instability.",

author = "R Quintanilla and Jeyabal Sivaloganathan",

year = "2012",

month = mar,

doi = "10.1016/j.euromechsol.2011.09.002",

language = "English",

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journal = "European Journal of Mechanics - A/Solids",

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AU - Quintanilla, R

AU - Sivaloganathan, Jeyabal

PY - 2012/3

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N2 - In this paper we study the equations of the nonlinear theory of type II Thermoelasticity proposed by Green and Naghdi. We propose a constitutive framework for the free energy function arising in this theory and study various consequences including the existence and uniqueness of quasistatic solutions and the possibility of thermally activated instability.

AB - In this paper we study the equations of the nonlinear theory of type II Thermoelasticity proposed by Green and Naghdi. We propose a constitutive framework for the free energy function arising in this theory and study various consequences including the existence and uniqueness of quasistatic solutions and the possibility of thermally activated instability.

UR - https://www.scopus.com/pages/publications/81355149405

UR - http://dx.doi.org/10.1016/j.euromechsol.2011.09.002

U2 - 10.1016/j.euromechsol.2011.09.002

DO - 10.1016/j.euromechsol.2011.09.002

M3 - Article

SN - 0997-7538

VL - 32

SP - 109

EP - 117

JO - European Journal of Mechanics - A/Solids

JF - European Journal of Mechanics - A/Solids

IS - 1

ER -

Aspects of the nonlinear theory of type II thermoelastostatics

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