Elasticity Solution for a Cantilever Beam with Exponentially Varying Properties
S. Benguediab1, A. Tounsi1,2, H. H. Abdelaziz3,4,5, M. A. A. Meziane6,7
1University of Sidi Bel Abbes, Algeria
2Algerian National Thematic Agency of Research in Science and Technology, Algeria
3University Ibn Khaldoun, Algeria
4Tiaret, 14000, Algeria, Algeria
5University of Sidi Bel Abbes
6University Ibn Khaldoun
7Tiaret, 14000, Algeria
Keywords: плоская задача, функция напряжений, функционально-градиентный материал, экспоненциальный закон, аналитическое решение
Abstract
An analytical solution
of a plane stress problem for a cantilever beam made of a functionally graded
material subjected to uniform loading is constructed. The material is assumed
to be isotropic with constant Poisson's ratio and exponentially varying Young's
modulus through the beam thickness. Expressions for displacements, strains, and
stresses are obtained.
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