L. Alvarezvazquez et Jm. Viano, ASYMPTOTIC JUSTIFICATION OF AN EVOLUTION LINEAR THERMOELASTIC MODEL FOR RODS, Computer methods in applied mechanics and engineering, 115(1-2), 1994, pp. 93-109
The justification of a dynamic thermoelastic model for a linearized be
am is presented using asymptotic analysis methods. We prove that the t
hree-dimensional thermoelastic model converges weakly to a limit model
introduced here and we deduce a compatibility condition in order to o
btain strong convergence.