4.6 Article

A mixed variational method for linear coupled thermoelastic analysis

Journal

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 38, Issue 4, Pages 717-739

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0020-7683(00)00061-5

Keywords

thermoelasticity; variational method; mixed model; finite element

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A variational method for linear coupled quasi-static thermoelastic analysis is presented. The variational support is a statement in terms of displacement, temperature, stress and heat flux. The statement is based on the hybrid stress formulation for the elastic part and on the mixed flux-temperature formulation for the thermal one, and includes the rate dependent terms of the energy balance equations and the initial condition. A finite element model for the semidiscrete analysis is developed within this variational framework, and a guideline for implementing a family of thermoelastic finite elements is given. Some test cases enlighten the effectiveness and reliability of the approach proposed. (C) 2000 Elsevier Science Ltd. All rights reserved.

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