Geodesic
Thermo force loading of an elastic-plastic a three-layer plate
Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2023), pp. 42-52

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The formulation of the boundary value problem of deformation of a circular three-layer plate in its plane under the action of an axisymmetric load and heat flow is herein given. The deformation of materials of thin bearing layers obeys the hypotheses of the theory of small elastic-plastic deformations. The relatively thick filler is assumed to be non-linearly elastic. A system of non-linear differential equilibrium equations is obtained. To derive it, the Lagrange’s variational principle was used. The corresponding iterative solution is obtained by direct integration. Numerical approbation of the analytical solution is carried out.
Keywords: Circular three-layer plate; non-axisymmetric load; movement; plasticity. 
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     title = {Thermo force loading of an elastic-plastic a three-layer plate},
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E. I. Starovoitov; M. A. Zhuravkov; A. V. Nesterovich. Thermo force loading of an elastic-plastic a three-layer plate. Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2023), pp. 42-52. http://geodesic.mathdoc.fr/item/BGUMI_2023_3_a3/