Analytical solutions to the 2D elasticity and thermoelasticity problems for inhomogeneous planes and half-planes
Journal
Archive of Applied Mechanics
Journal Volume
79
Journal Issue
5
Pages
441-456
Date Issued
2009
Author(s)
Abstract
This paper presents a method for analytical solving the plane elasticity and thermoelasticity problems for planes and half-planes which exhibit inhomogeneous material properties in one of the planar directions (in the case of half-plane, the inhomogeneity direction is assumed to be perpendicular to the boundary.) With the aid of direct integration of equilibrium equations, the original problems are reduced to the set of governing, harmonic equations with corresponding conditions. In the transform domain of the integral Fourier-transform, the governing equations are reduced to an integral equation which is solved by simple iteration technique. The rapid convergence of the iterative procedure is established to perform the numerical calculation. © 2008 Springer-Verlag.
SDGs
Type
journal article