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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.

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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