Analytical Solution Of A Two-dimensional
Elastostatic Problem Of Functionally Graded
Materials Via The Airy Stress Function
Author(s)
H. Sakurai
Abstract
Functionally Graded Materials (FGMs) possess properties that vary gradually as
a function of spatial coordinates. They are different from conventional composite
materials in that they have no distinct interfaces at which their material
properties change abruptly. These FGMs are suitable for various applications,
such as aerospace, nuclear fusion, biomaterial electronics, etc. In practice,
applications of analytical solutions are limited. However, the analytical solutions
are very important as standards for evaluating numerical simulation results and
they are also important to mathematical understanding. Little research on the
analytical solutions of two-dimensional elastostatic problems has been reported.
Furthermore, few analytical solutions using Airy stress functions have been
published. The purpose of this paper is to propose an analytical method for the
two-dimensional elastostatic problems of FGMs using the Airy stress function.
In the present investigation, FGMs in which the properties of the materials vary
exponentially in one direction are examined. A few numerical examples are
presented and the validity of the method is shown by comparisons with the
results of past studies.
Keywords: analytical solution, functionally graded material, two-dimensional
problem, Airy stress function.
1 Introduction
The Functionally Graded Materials (FGMs) possess properties that vary
gradually as a function of spatial coordinates. They are different from
conventional composite materials in that they have no distinct interfaces at which
Keywords
analytical solution, functionally graded material, two-dimensionalproblem, Airy stress function
Related Book
Other papers in this volume
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