Nonlinear analysis of functionally graded beams

• Autorzy: Tahani M. , Torabizadeh M. A. , Fereidoon A.
• Języki publikacji: EN

Abstrakty

EN

Purpose: It is the intention of the present study to examine the effect of geometric nonlinearity on displacements and stresses in beams made of functionally graded materials (FGMs) subjected to thermo-mechanical loadings. Design/methodology/approach: The nonlinear strain-displacement relations are used to study the effect of geometric nonlinearity. Temperature distribution through the thickness of the beams in thermal loadings is obtained by solving the one-dimensional heat transfer equation. Then the equilibrium equations are obtained within the framework of the first-order shear deformatyion beam theory (FSDBT) and then solved exactly and also by using a perturbation technique. The results obtained from these two methods are compared for various loadings and boundary conditions. Findings: The numerical results showed that the nonlinearity effect on the displacements and stresses of the beams is significant. Also the effects of material constant n and the boundary conditions on the nonlinear bending behavior of the beams are determined. Research limitations/implications: The exact solution method of nonlinear equilibrium equations can only be developed for composite beams with the same boundary conditions at the ends. Practical implications: It is showed that for the maximum deflections greater than 0.3h a nonlinear solution is required. Originality/value: The paper introduces a new method to obtain analytical solution for nonlinear equilibrium equations. This method can be used in developing higher-order shear deformation and layerwise theories.

Słowa kluczowe

EN

applied mechanics; functionally graded beams; nonlinear analysis; analytical solution

PL

mechanika stosowana; funkcjonalne belki gradientowe; analiza nieliniowa; rozwiązanie analityczne

• Wydawca: International OCSCO World Press
• Czasopismo: Journal of Achievements in Materials and Manufacturing Engineering
• Rocznik: 2006
• Tom: Vol. 18, nr 1-2
• Strony: 315--318
• Opis fizyczny: Bibliogr. 11 poz., wykr.

Twórcy

autor

Tahani M.

• Department of Mechanical Engineering, Ferdowsi University of Mashhad, P.O.Box 91775-1111, Mashhad, Iran

autor

Torabizadeh M. A.

• Department of Mechanical Engineering, University of Semnan, Semnan, Iran

autor

Fereidoon A.

• Department of Mechanical Engineering, University of Semnan, Semnan, Iran

Bibliografia

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• [8] J.N. Reddy, Analysis of functionally graded plates, International Journal for Numerical Methods in Engineering 47 (2000) 663-684.
• [9] T. Reiter, G.J. Dvorak, V. Trergaard, Micromechanical models for graded composite materials, Journal of the Mechanics and Physics of Solids 45/8 (1997) 1281-1302.
• [10] B.V. Sankar, An elasticity solution for functionally graded beams, Composite Science and Technology 61 (2001) 689-696.
• [11] G.N. Praveen, J.N. Reddy, Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates, International Journal of Solids and Structures 35/33 (1998) 4457-4476.