Geodesic
Thermal elastic bending of a circular three-layer plate, associated with the Pasternak foundation
Problemy fiziki, matematiki i tehniki, no. 2 (2022), pp. 31-37

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An axisymmetric bending of an elastic three-layer circular plate connected to the Pasternak foundation is considered. The effect of the temperature field is taken into account. To describe the kinematics of a plate package asymmetric in thickness, the hypothesis of a broken normal is accepted. The statement of the problem and its solution are carried out in a cylindrical coordinate system. The system of equilibrium equations was obtained using the Lagrange variational method. Its general analytical solution is written out in displacements. A numerical parametric analysis of the stress-strain state of a three-layer metal-polymer plate under a uniformly distributed load has been carried out. The significant influence of temperature on the stresses in the layers is shown.
Keywords: thermoelasticity, Pasternak foundation, three-layer plate. 
@article{PFMT_2022_2_a5,
     author = {A. G. Kozel},
     title = {Thermal elastic bending of a circular three-layer plate, associated with the {Pasternak} foundation},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {31--37},
     publisher = {mathdoc},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2022_2_a5/}
}
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A. G. Kozel. Thermal elastic bending of a circular three-layer plate, associated with the Pasternak foundation. Problemy fiziki, matematiki i tehniki, no. 2 (2022), pp. 31-37. http://geodesic.mathdoc.fr/item/PFMT_2022_2_a5/