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A mixed variational method for linear coupled thermoelastic analysis. (English) Zbl 0972.74079
Summary: We present a variational method for linear coupled quasi-static thermoelastic analysis 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 in energy balance equations and in 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 show the effectiveness of the approach.

MSC:
74S30 Other numerical methods in solid mechanics (MSC2010)
74F05 Thermal effects in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
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