This article is cited in 10 papers

Elasticity solution for a cantilever beam with exponentially varying properties

S. Benguediab^a, A. Tounsi^ab, H. H. Abdelaziz^ac, M. A. A. Meziane<sup>c

a</sup> University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria
^b Algerian National Thematic Agency of Research in Science and Technology (ATRST), Algeria
^c University Ibn Khaldoun, 14000, Tiaret, Algeria

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.

Keywords: plane stress problem, stress function, exponential functionally graded material, analytical solution.

UDC: 539.3; 539.5

Received: 08.01.2015
Revised: 13.07.2015

DOI: 10.15372/PMTF20170221

 English version: Journal of Applied Mechanics and Technical Physics, 2017, 58:2, 354–361

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