Abstract
ABSTRACTInhomogeneous materials (the ones exhibiting spatial variations in their, all or specific, material properties) present a great deal of interest for scientists and engineers in both academia and industry. For over a hundred years, the mechanical behavior of inhomogeneous materials excites numerous attempts in mathematical modeling and development of methods for proper analysis and verification. With this concern, the reach experience was gained by scientists of different scientific schools in many countries. Despite numerous significant achievements, some results, unfortunately, remain unnoticed by the wide scientific community. On the other hand, one can observe a growing number of publications which repeatedly publish the solutions reported years ago or deal with the similar problems with slight modifications. The main objective of this paper is to: i) present a brief survey of the development history of the elastic analysis of inhomogeneous solids and ii) characterize some dominant analytical and semi-analytical methods. It was not our intent here to provide a comprehensive list of references on the topic, which is nearly impossible to make in view of rapidly growing number of publications and other restrictions, but to emphasize some important, in our opinion, stages of the development, methods and results.
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Mechanical Engineering,Condensed Matter Physics
Reference148 articles.
1. Two-Dimensional Thermal Stresses and Displacements in an Arbitrarily Inhomogeneous Elastic Layer;Tokovyy;Applied Mechanics and Materials,2014
2. Introduction to Linear Elastoplastics with Variable Poisson’s Ratio;Golecki;Zeszyty Naukowe Akademii Górniczo Hutniczej,1969
3. The Deformation of a Nonhomogeneous Half-Space under the Action of a Surface Load;Plevako;International Applied Mechanics,1973
4. Thermoelastic analysis of a cylindrical vessel of functionally graded materials
5. Solutions of one-dimensional problems of elasticity and thermoelasticity for cylindrical piecewise-homogeneous bodies
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