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Three-dimensional thermoelasticity problems for nonuniformly heated laminar transversally isotropic plates

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Abstract

Three-dimensional heat-conduction and thermoelasticity boundary-value problems are considered for laminar transversally isotropic rectilinear plates under the action of a nonuniform temperature field. Both ideal and nonideal thermal and mechanical contact conditions at the interfaces are fulfilled. Cases where the roots of the basic characteristic equation are different and include duplicate values are discussed for transversally isotropic bodies (rectangular anisotropy). In the numerical calculation of thermoelastic deformation for a two-layer plate, a sinusoidal face temperature is specified. Characteristic thermomechanical effects are discovered.

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S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 35, No. 7, pp. 95–103, July 1999.

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Nemish, B.Y. Three-dimensional thermoelasticity problems for nonuniformly heated laminar transversally isotropic plates. Int Appl Mech 35, 732–740 (1999). https://doi.org/10.1007/BF02682211

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