Thermal Stress Analysis Of Functionally Graded
Material Structures Using Analytical Expressions
In Radial Integration BEM
Author(s)
K. Yang, Z. C. Yuan & J. Lv
Abstract
This paper presents a new approach using analytical expressions in the radial
integration boundary element method (RIBEM) for 2D thermal stress analysis of
structures consisting of functionally graded materials. This approach can
improve the computational efficiency considerably and can overcome the timeconsuming
deficiency of RIBEM in computing involved radial integrals. Using
this equation together with the three-step multi-domain BEM technique, thermal
stress analysis can be carried out for complicated structures comprised of,
arbitrarily, many numbers of media with varying material properties. The Kelvin
fundamental solutions independent of elastic modulus are used in this paper. As
a result, the resulting integral equations include domain integrals due to the nonhomogeneity
and temperature variations of the material. All these domain
integrals are transformed into equivalent boundary integrals using the radial
integration method (RIM), resulting in a pure boundary element analysis
algorithm. Numerical examples are given to demonstrate the efficiency of the
presented approach.
Keywords: functionally graded material, thermal stress analysis, boundary
element method, radial integration method.
Keywords
functionally graded material, thermal stress analysis, boundary
element method, radial integration method
Related Book
Other papers in this volume
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