Green's Function for a Prestressed Thermoelasticity Half-Space with an Inhomogeneous Coating
T. I. Belyankova, V. V. Kalinchuk
Southern Scientific Center, Russian Academy of Sciences, Rostov-on-Don, 344006 Russia
Keywords: термоупругость, функционально-градиентный материал, предварительно напряженная термоупругая среда с покрытием, начальные напряжения, предварительный нагрев, трехмерная функция Грина, thermoelasticity, functionally graded material, prestressed thermoelastic medium with a coating, initial stresses, preheating, three-dimensional Green's function
Abstract
A mathematical model is developed for an inhomogeneous thermoelastic prestressed half-space consisting of a stack of homogeneous functionally graded layers rigidly attached to a homogeneous base.аEach component of the inhomogeneous medium under an initial mechanical stress and temperature.аConsistent linearization of the constitutive relations of nonlinear mechanics of a thermoelastic medium is performed using the theory of superpositionа of small deformations on finite deformations with the inhomogeneity of the medium taken into account.аIntegral formulas for studying dynamic processes in inhomogeneous prestressed thermoelastic media are derived.
DOI: 10.1134/S0021894416050096
|
