Coupled Thermoelasticity Problem for Multilayer Composite Shells of Revolution. I. Theoretical Aspects of the Problem
| Autor: | A. I. Babin, Yu. V. Nemirovskii |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Differential equation Applied Mathematics General Mathematics 010102 general mathematics Constitutive equation Shell (structure) 02 engineering and technology Mechanics Dissipation 01 natural sciences 020303 mechanical engineering & transports Thermoelastic damping 0203 mechanical engineering Heat flux Variational principle Boundary value problem 0101 mathematics Mathematics |
| Zdroj: | Journal of Mathematical Sciences. 229:211-225 |
| ISSN: | 1573-8795 1072-3374 |
| DOI: | 10.1007/s10958-018-3672-9 |
| Popis: | On the basis of a general integral form of the variational principle of the least possible dissipation of energy of the nonequilibrium thermodynamics, we deduce a nonclassical nonsteady heat-conduction equation for multilayer polyreinforced shells of any shape. A method for the determination of the integral heat conductivities of reinforced layers is developed and the effective constitutive equations for the description of its thermoelastic behavior are proposed. A nonclassical model of deformation of the multilayer shell and a nonlinear model of distribution of the heat flux along the thickness of the layer are formulated. This allows us to take into account the transverse shear strains and guarantee the conditions of thermomechanical contact of the layers and the conditions of thermomechanical loading on the face surfaces of the shell. We construct a closed system of differential equations with the corresponding initial and boundary conditions for a coupled problem of thermoelastic deformation of layered composite shells and plates. |
| Databáze: | OpenAIRE |
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