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This article is cited in 3 scientific papers (total in 3 papers)
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
Abstract:
A mathematical model is developed for an inhomogeneous thermoelastic prestressed half-space consisting of a stack of homogeneous or functionally graded layers rigidly attached to a homogeneous base. Each component of the inhomogeneous medium is subjected to initial mechanical stresses and temperature. Successive linearization of the constitutive relations of the nonlinear mechanics of a thermoelastic medium is performed using the theory of superposition of small deformations on finite deformations with the inhomogeneity of the medium taken into account. Integral formulas are derived to explore dynamic processes in inhomogeneous prestressed thermoelastic media.
Keywords:
thermoelasticity, functionally graded material, prestressed thermoelastic medium with a coating, initial stresses, preheating, three-dimensional Green's function.
Received: 08.06.2015 Revised: 02.09.2015
Citation:
T. I. Belyankova, V. V. Kalinchuk, “Green's function for a prestressed thermoelasticity half-space with an inhomogeneous coating”, Prikl. Mekh. Tekh. Fiz., 57:5 (2016), 76–89; J. Appl. Mech. Tech. Phys., 57:5 (2016), 828–840
Linking options:
https://www.mathnet.ru/eng/pmtf793 https://www.mathnet.ru/eng/pmtf/v57/i5/p76
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