Static analysis of P-FGM beams resting on the Winkler elastic foundations

Static analysis of P-FGM beams resting on the Winkler elastic foundations

Boukhelf FouadBachir B. Mohamed Boukhari Ahmed Tounsi Abdelouahed Adda B. El-abess 

Laboratory of Structures and materials advances in the Civil Engineering and public works, Djillali Liabes University of SIDI BEL ABBES, Algeria.

Laboratory of Materials and hydrology, Djillali Liabes University of SIDI BEL ABBES, Algeria

Agence Thématique de Recherche Scientifique et Technologique ATRST (Algeria)

Corresponding Author Email: 
fouad.boukhelf@hotmail.com
Page: 
18-22
|
DOI: 
https://doi.org/10.18280/mmep.040104
Received: 
|
Accepted: 
|
Published: 
31 March 2017
| Citation

OPEN ACCESS

Abstract: 

In this paper investigates bending behavior of P-FGM beam resting on the elastic foundation including Winkler springs. Exact solutions obtained from closed-form formulation based on generalized shear deformation beam theory which can be adapted to various beams theories for bending analysis of such beam are presented. An accuracy of the present solutions is validated numerically by comparisons with some available results in the literature. Various significant parameters P-FGM volume fraction, spring constant factors, beam thickness, etc. are taken into investigation. According to the numerical results, it is revealed that the deflection of the beams is found to decrease as the increase of spring constant factors.

Keywords: 

P-FGM Beams, Winkler Elastic Foundation, Neutral Surface, Bending, Higher-order Theory.

1. Introduction
2. Model Analytic
3. Equation of Motion
4. Discussion of Results
5. Conclusions
Acknowledgement
Nomenclature
  References

[1] Koizumi M. (1993). The concept of FGM, ceramic transactions, Function. Grad. Mater, Vol. 34, pp. 3-10.

[2] Thai H.T. (2012)