Finite element analysis of coupled thermoelasticity : Carter, J P; Booker, J R University of Sydney, School of Civil and Mining Engineering, Research ReportN599, May 1989, 30P

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Most thermal stress analyses assume that the determination of the temperature field is uncoupled from that of the stress and displacement fields, while assuming that the stress and displacement fields depend on the temperature field. This semi-coupled approach to thermoelasticity is not entirely consistent. In this paper a variational principle for the fully coupled theory of thermoelasticity is developed. This is used to obtain a finite element approximation which is then compared with analytical solutions. An assessment is also made of the importance of the full coupling.