Ga. Holzapfel et G. Reiter, FULLY COUPLED THERMOMECHANICAL BEHAVIOR OF VISCOELASTIC SOLIDS TREATED WITH FINITE-ELEMENTS, International journal of engineering science, 33(7), 1995, pp. 1037-1058
The paper is concerned with the numerical simulation of thermomechanic
al processes for linear viscoelastic solids with special consideration
of the dissipative coupling phenomena. A constitutive equation is bas
ed on a four-parameter model, the so-called Kelvin-Maxwell model. The
fully coupled finite element formulation follows from the mixed thermo
mechanical boundary- and initial value problem through the usual time
and spatial discretization procedures. A simultaneous solution strateg
y yields the unknown values describing both the mechanical and the the
rmal field. Illustrative examples, involving static and cyclic loading
s, exhibit the viscoelastic behaviour of the material and show the eff
iciency of the numerical method within the scope of thermomechanics.