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A novel numerical approach is proposed herein to study thermomechanical wave propagation in annular disks made of viscoelastic materials under inner thermal shock based on the Lord–Shulman (L–S) theory and the Kelvin–Voigt model. It is assumed that the temperature change is considerable in comparison with the reference temperature and the original nonlinear form of energy equation is considered accordingly. In the polar coordinate system, the coupled governing equations are obtained in a weak form which is then solved using the variational differential quadrature (VDQ) technique. The influences of viscoelastic character and thermal shock on the propagation of temperature and radial displacement of disk are investigated. In addition, the predictions of thermally linear and nonlinear models are compared.

Thermally nonlinear generalized coupled thermo-viscoelasticity of disks: a numerical variational approach