Stress Analysis By Local Integral Equations
Author(s)
V. Sladek, J. Sladek & Ch. Zhang
Abstract
This paper is a comparative study for various numerical implementations of local
integral equations developed for stress analysis in plane elasticity of solids with
functionally graded material coefficients. Besides two meshless implementations
by the point interpolation method and the moving least squares approximation,
the element based approximation is also utilized. The numerical stability,
accuracy, convergence of accuracy and cost efficiency (assessed by CPU-times)
are investigated in numerous test examples with exact benchmark solutions.
Keywords: elasticity, functionally graded materials, boundary value problems,
force equilibrium, meshless implementations.
1 Introduction
A rapid progress can be observed in the development of various meshless
techniques especially in fluid problems. Simultaneously, a considerable
expansion of such techniques can be found also in various applications to
engineering and science problems. This can be explained by the fact that there
are known certain limitations of standard discretization techniques especially
when applied to some classes of problems (e.g. problems in separable media,
problems with free or moving boundaries; crack problems; problems with large
distortions, etc.). Although the standard discretization techniques are applicable
to the numerical solution of boundary value problems in continuously nonhomogeneous
elastic media, the formulations developed for homogeneous media
are not applicable directly, since the governing equations are now given by
partial differential equations with variable coefficients.
There has not been a unique classification of meshless techniques up to now.
Mostly they are classified according to the employed approximation. Some of
Keywords
elasticity, functionally graded materials, boundary value problems,
force equilibrium, meshless implementations.
Related Book
Other papers in this volume
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