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Nonlinear analysis of functionally graded beams

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
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.
Rocznik
Strony
315--318
Opis fizyczny
Bibliogr. 11 poz., wykr.
Twórcy
autor
  • Department of Mechanical Engineering, Ferdowsi University of Mashhad, P.O.Box 91775-1111, Mashhad, Iran
  • Department of Mechanical Engineering, University of Semnan, Semnan, Iran
autor
  • Department of Mechanical Engineering, University of Semnan, Semnan, Iran
Bibliografia
  • [1] S. Wojciechowski, New trends in the development of mechanical engineering materials, Journal of Materials Processing Technology 106 (2000) 230-235.
  • [2] A. Maciejny, Development problems of materials in mechanical engineering, Journal of Materials Processing Technology 106 (2000) 184-190.
  • [3] T. Hirai, Functionally gradient materials, Ceramic Transactions 34 (1993) 3-10.
  • [4] J.R. Cho, D.Y. Ha, Averaging and finite element discretization approaches in the numerical analysis of functionally graded materials, Inernational Journal of Materials Science and Engineering 302 (2001) 187-196.
  • [5] S.B. Singh, S. Ray, Creep analysis in an isotropic FGM rotating disc of Al-SiC composite, Journal of Materials Processing Technology 143-144 (2003) 616-622.
  • [6] J.R. Cho, H.J. Park, High strength FGM cutting tools: finite element analysis on thermoelastic characteristics, Journal of Materials Processing Technology 130-131 (2002) 351-356.
  • [7] K. Tanaka, Y. Tanaka, K. Enomoto, V.F. Poterasu, Y. Sugano, Design of thermoelastic materials using direct sensitivity and optimization methods, Computer Methods in Applied Mechanics and Engineering 106/1 (1993) 271-284.
  • [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.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-bebbf66f-5f4d-4351-ba7b-29cf3f0d1ca9
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