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Une justification des équations de la thermoélasticité des poutres a section variable par des méthodes asymptotiques. (French) Zbl 0572.73053
The one-dimensional model for thermoelastic beam theory is obtained by applying the asymptotic expansion method to a mixed variational formulation of the three-dimensional case. The method developed before for plate and shell models [e.g. Ph. G. Ciarlet and Ph. Destuynder, J. Mec. Paris 18, 315-344 (1979; Zbl 0415.73072)] does not require any a priori assumption on the form of the unknown functions or on the applied forces. The convergence of the solution is also investigated.
Reviewer: N.Sandru

MSC:
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74F05 Thermal effects in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
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References:
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