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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2013 Issue 1(30), Pages 215–221 (Mi vsgtu1128)

This article is cited in 6 papers

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Mechanics and Classical Field Theory

Analytical solutions of problems of thermoelasticity for multilayered bodies with variable properties

V. A. Kudinov, A. E. Kuzneysova, A. V. Eremin, E. V. Kotova

Samara State Technical University, Samara, 443100, Russia

Abstract: The technics for the construction of approximate analytical solutions for the quasistatic problems of thermoelasticity (plane-stressed state, plane deformation) for the multilayered bodies with variable within limits of each layer physical properties of medium. The recursive method is used for the construction of systems of coordinate functions, satisfying the boundary matching conditions, given as the equality of radial (normal) stresses and displacements in the layer-contact points.

Keywords: multilayer constructions, analytical solution, thermoelasticity problem, environmental variable physical properties, system of coordinate functions, Bubnov–Galyorkin orthogonal method.

UDC: 517.958:539.3(4)

MSC: Primary 74F05; Secondary 74C05, 80A20

Original article submitted 29/X/2012
revision submitted – 01/II/2013

DOI: 10.14498/vsgtu1128



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