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Analytical‐numerical Treatment of Elasticity and Thermoelasticity Problems for Inhomogeneous Orthotropic Cylindrical Bodies
Author(s) -
Shevchuk Victor
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910294
Subject(s) - orthotropic material , compatibility (geochemistry) , elasticity (physics) , mathematical analysis , mathematics , materials science , physics , composite material , thermodynamics , finite element method
This paper develops an approach to solving one‐dimensional elasticity and thermoelasticity problems for the case of inhomogeneous orthotropic cylindrical bodies. It is based on direct integration of differential equilibrium and compatibility equations in terms of stresses and reduction to the system of integral equations, which are effectively solved by the rapidly convergent iteration procedure. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)