Nonlinear Behavior of a Non-Homogeneous Plate in Cylindrical Bending under Uniform Loading

Authors

  • Lemya HANIFI HACHEMI AMAR Laboratory of Environment and Water Resources, University Dr. Tahar MOULAY of Saida, Algeria
  • Abdelhakim KACI a Laboratory of Environment and Water Resources, University Dr. Tahar MOULAY of Saida, Algeria / b Material and Hydrology Laboratory, University of Sidi Bel Abbes, Algeria
  • El Abbas ADDA BEDIA Material and Hydrology Laboratory, University of Sidi Bel Abbes, Algeria.

Keywords:

Exponential function with gradient of properties (E-FG), Nonlinear behavior, Deformation, Plate

Abstract

In this work, we will study the non-linear behavior of a plate in cylindrical bending using an exponential function with gradient of
material properties (Commonly called E-FG). The plates are subjected to uniform loading and geometric nonlinearity is introduced into relationship the stress-strain using the expressions nonlinear deformations of Von Karman's. The material properties of the plate, except the Poisson coefficient, are assumed to vary in the direction of thickness z in the form of an exponential law distribution. The solution is obtained by using the Prince of Hamilton. Numerical results by an exponential function with gradient of properties are given in the form of graphs non-dimensional; and determine the effect of the material properties on the deflection and the normal stress across the thickness.

References

Niino M, Maeda S. Recent development status of functionally gradient materials. ISIJInt 1990; 30:699–703.

Hirano T, Yamada T, Teraki J, Niino M, Kumakawa A., A study on functionally gradient material design system for a thrust chamber, In:

Proceedings of the16th international symposium on space technology and science, Sapporo, Japan; 1988.

Yamanoushi M, Koizumi M, Hiraii T, Shoita I, editors, Proceedings of the first international symposium on functionally gradient

materials, Japan; 1990.

Koizumi M. The concept of FGM., Ceram Trans Funct Grad Mater 1993: 3–10.

Tanigawa Y, Akai T, Kawamura R, Oka N., Transient heat conduction and thermal stress problems of a nonhomogeneous plate

with temperature dependent material properties, J. Therm. Stresses 19 (1996) 77–102.

Reddy J.N., Wang C.M., Kitipornchai S., Axisymmetric bending of functionally grade circular and annular plates, Europ. J. Mech., A/Solids, 18 (1999) 185–99.

Praveen G.N., Chin C.D., Reddy J.N., Thermoelastic analysis of functionally graded ceramic–metal cylinder, J. Eng. Mech., ASCE 125 (1999) 1259–67.

Mizuguchi F., Ohnabe H., Large deflections of heated functionally graded simply supported rectangular plates with varying rigidity in

thickness direction, In:Proceedings of the 11th technical conference of the American Society for Composites, USA; 1996. p. 957–66.

Praveen G.N, Reddy J.N., Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates, Int. J. Solids Struct., 35

(1998) 4457–4476.

Reddy J.N., Analysis of functionally graded plates, Int. J. Numer. Meth. Engrg, 47 (2000) 663–684.

GhannadPour S.A.M., Alinia M.M., Large deflection behavior of functionally graded plates under pressure loads, Composite Structures, 75(1–4) (2006) 67–71.

Sun C.T., Chin H., Analysis of asymmetric composite laminates, AIAA Journal, 26 (6) (1988) 714–8.

Sun C.T., Chin H., Cylindrical bending of unsymmetric composite laminates, AIAA Journal,30 (5) (1991) 1438–40.

Navazi H.M., Haddadpour H., Rasekh M., An analytical solution for nonlinear cylindrical bending of functionally graded plates, ThinWalled Structures, 44 (2006) 1129–37.

Markworth A.J., Ramesh K.S., Parks Jr. W.P., Modeling studies applied to functionally graded materials, J. Mater. Sci.,30 (1995)

–93.

Sallai B-O.,Tounsi A.,Mechab I., Bachir Bouiadjra M., Meradjah M., Adda Bedia E.A., A theoretical analysis of flexional bending of

Al/Al2O3 S-FGM thick beams, Computational Materials Science, 44 (2009) 1344 – 1350.

Reddy J.N., Mechanics of laminated composite plates and shells, theory and analysis, 2nd ed., Boca Raton, FL: CRC Press; 2003.

Sun C.T., Chin H., Analysis of asymmetric composite laminates. AIAA Journal, 26 (6) (1988) 714–8.

Vol_10_Issue_02_June_2018

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Published

01/14/2023

How to Cite

HANIFI HACHEMI AMAR, L. ., KACI, A., & ADDA BEDIA, E. A. . (2023). Nonlinear Behavior of a Non-Homogeneous Plate in Cylindrical Bending under Uniform Loading. Revue Nature Et Technologie, 10(02), 31–36. Retrieved from https://journals.univ-chlef.dz/index.php/natec/article/view/117

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Section

Fundamental & Engineering Sciences

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