The calculation of the thermal stressed state of multilayer platesofa non-canonical shape

Author:

Merkulova Alyona1ORCID,Merkulov Dmytro1ORCID,Misiura Ievgeniia2ORCID,Postnyi Oleksii1ORCID

Affiliation:

1. A. Pidhornyi Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine

2. Simon KuznetsKharkiv National University of Economics, Kharkiv, Ukraine

Abstract

A method for solving the problem of stationary thermoelasticity of multilayer plates of non-canonical shape in plan is proposed, which is based on the method of immersing a complex domain into the domain of a canonical form. A non-canonical plate with arbitrary boundary conditions "immerses" into a canonical plate. To ensure that the specified boundary conditions are met, additional compensating loads are added to the auxiliary structure, distributed along the contour of the initial structure. The intensities of compensating loads are determined from a system of integral equations. Deformation of the layers of the plates are described within the framework of the first-order theory, taking into account the transverse shear strains in each layer. The field of temperature loads is obtained by solving the non-stationary problem of thermal conductivity of a multilayer plate. The temperature stresses in a five-layer plate when heated by a film heat source are investigated.

Publisher

V. N. Karazin Kharkiv National University

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference17 articles.

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3. O. Hachkevych, R. Terlets'kyi, O. Turii. The formulation and development of methods of solving thermomechanics problems for irradiated layered solids MMC, Vol. 4, No 1, 2017, P. 21-36. DOI: https://doi.org/10.23939/mmc2017.01.021.

4. C.H. Hsueh, Thermal stresses in elastic multilayer systems. Thin Solid Films. Vol. 418, No 2, 2002, Pages 182-188 DOI: https://doi.org/10.1016/S0040-6090(02)00699-5.

5. N.V. Smetankina. Non-stationary deformation, thermal elasticity and optimisation of laminated plates and cylindrical shells. Miskdruk Publishers, Kharkiv, 2011, 376 p. [in Russian]

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