What is it about?

ABSTRACT. In this article, an analytical study was done to predict the behavior of the beam vis-à-vis bending, buckling, and dynamic responses of isotropic homogeneous beams based on an elastic foundation. The material properties of the FG-beams vary across the thickness using the power law. In this work, the sinusoidal shear deformation beams theory is used to investigate the static and dynamic behavior of FG beams. The present theory fulfills the condition of nullity of edge stresses and does not require the use of a shear correction factor. Hamilton's principle is used to deduce equations of motion, and analytical solutions for simply supported beams were obtained using the Navier resolution method. Nondimensional displacements, eigenfrequencies and critical-buckling loads of isotropic homogeneous beams were obtained for various values of the foundation parameters. The numerical results obtained by the present technique have been compared with the results of literature and are in excellent agreement with them. It can be concluded that the current HSDBT is simple and accurate in solving the bending, eigenfrequency and critical-buckling load problems for FGM beams.

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Why is it important?

The present theory differs from other higher-order theories because, in present theory the displacement field which includes undetermined integral terms, which is not considered by the other researchers


developed this mathematical model to analyze and predict the behavior of beams at different boundary conditions

Prof Abdelbaki Chikh
Universite Ibn Khaldoun Tiaret

Read the Original

This page is a summary of: Investigations in static response and free vibration of a functionally graded beam resting on elastic foundations, Frattura ed Integrità Strutturale, December 2019, Gruppo Italiano Frattura,
DOI: 10.3221/igf-esis.51.09.
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