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Title: Coupled Thermoelasticity Problem for Multilayer Composite Shells of Revolution. II. Applied Problems

Abstract

We deduce a system of nonclassical nonlinear differential equations of coupled thermoelasticity for multilayer composite anisotropic shells of revolution in a coordinate system connected with the lines of curvature of the reference surface. The constructed nonclassical model of deformation of a multilayer shell and the nonlinear model of distribution of heat fluxes over the thickness of the shell enable us to take into account the transverse shear strains and guarantee the validity of the conditions of thermal and mechanical conjugation of the layers and the conditions of thermomechanical loading on the faces of the shell. We deduce the linearized differential equations of the axisymmetric coupled problem of thermoelasticity for a conic reinforced multilayer shell and solve the quasistatic problem of thermoelasticity for a two-layer cylindrical shell cross-reinforced in the direction of helical lines. By using the structural approach to the formulation of the criteria of strength for composite materials, we determine the loads of the onset of fracture of the binder and reinforcing elements of a two-layer metal-composite cylindrical shell.

Authors:
 [1];  [2]
  1. Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of RAS (Russian Federation)
  2. Kuzbass State Technical University (Russian Federation)
Publication Date:
OSTI Identifier:
22773576
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 236; Journal Issue: 2; Other Information: Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 97 MATHEMATICAL METHODS AND COMPUTING; ANISOTROPY; AXIAL SYMMETRY; BINDERS; COMPOSITE MATERIALS; COORDINATES; CYLINDRICAL CONFIGURATION; DEFORMATION; DIFFERENTIAL EQUATIONS; FRACTURES; HEAT FLUX; METALS; NONLINEAR PROBLEMS; SHEAR; STRAINS; THERMOELASTICITY; THICKNESS

Citation Formats

Nemirovskii, Yu. V., and Babin, A. I. Coupled Thermoelasticity Problem for Multilayer Composite Shells of Revolution. II. Applied Problems. United States: N. p., 2019. Web. doi:10.1007/S10958-018-4102-8.
Nemirovskii, Yu. V., & Babin, A. I. Coupled Thermoelasticity Problem for Multilayer Composite Shells of Revolution. II. Applied Problems. United States. doi:10.1007/S10958-018-4102-8.
Nemirovskii, Yu. V., and Babin, A. I. Tue . "Coupled Thermoelasticity Problem for Multilayer Composite Shells of Revolution. II. Applied Problems". United States. doi:10.1007/S10958-018-4102-8.
@article{osti_22773576,
title = {Coupled Thermoelasticity Problem for Multilayer Composite Shells of Revolution. II. Applied Problems},
author = {Nemirovskii, Yu. V. and Babin, A. I.},
abstractNote = {We deduce a system of nonclassical nonlinear differential equations of coupled thermoelasticity for multilayer composite anisotropic shells of revolution in a coordinate system connected with the lines of curvature of the reference surface. The constructed nonclassical model of deformation of a multilayer shell and the nonlinear model of distribution of heat fluxes over the thickness of the shell enable us to take into account the transverse shear strains and guarantee the validity of the conditions of thermal and mechanical conjugation of the layers and the conditions of thermomechanical loading on the faces of the shell. We deduce the linearized differential equations of the axisymmetric coupled problem of thermoelasticity for a conic reinforced multilayer shell and solve the quasistatic problem of thermoelasticity for a two-layer cylindrical shell cross-reinforced in the direction of helical lines. By using the structural approach to the formulation of the criteria of strength for composite materials, we determine the loads of the onset of fracture of the binder and reinforcing elements of a two-layer metal-composite cylindrical shell.},
doi = {10.1007/S10958-018-4102-8},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 2,
volume = 236,
place = {United States},
year = {2019},
month = {1}
}