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  • 1. Saidi, A.R.
    et al.
    Atashipour, Seyed Rasoul
    Jomehzadeh, E.
    Exact elasticity solutions for thick-walled functionally graded spherical pressure vessels2009In: International Journal of Engineering, ISSN 1025-2495, E-ISSN 1735-9244, Vol. 22, no 4, p. 405-416Article in journal (Refereed)
    Abstract [en]

    In this paper, exact closed-form solutions for displacement and stress components of thick-walled functionally graded (FG) spherical pressure vessels are presented. To this aim, linear variation of properties, as an important case of the known power-law function model is used to describe the FG material distribution in thickness direction. Unlike the pervious studies, the vessels can have arbitrary inner to outer stiffness ratio without changing the function variation of FGM. After that, a closed-form solution is presented for displacement and stress components based on exponential model for variation of properties in radial direction. The accuracy of the present analyses is verified with known results. Finally, the effects of non-homogeneity and different values of inner to outer stiffness ratios on the displacement and stress distribution are discussed in detail. It can be seen that for FG vessels subjected to internal pressure, the variation of radial stress in radial direction becomes linear as the inner stiffness becomes five times higher than outer one. When the inner stiffness is half of the outer one, the distribution of the circumferential stress becomes uniform. For the case in which the external pressure is applied, as the inner to outer shear modulus becomes lower than 1/5, the value of the maximum radial stress is higher than external pressure.

  • 2. Saidi, A.R.
    et al.
    Jomehzadeh, E.
    Atashipour, Seyed Rasoul
    Exact analytical solution for bending analysis of functionally graded annular sector plates2009In: International Journal of Engineering, ISSN 1025-2495, E-ISSN 1735-9244, Vol. 22, no 3, p. 307-316Article in journal (Refereed)
    Abstract [en]

    In this article, an exact levy solution is presented for bending analysis of a functionally graded (FG) annular sector plate. The governing equilibrium equations are obtained based on the classical plate theory. Introducing an analytical method for the first time, the three coupled governing equilibrium equations are replaced by an independent equation in term of transverse deflection. This equation which is a forth-order partial differential equation is similar to the governing equilibrium equation of a homogeneous isotropic annular sector plate. Using an equivalent flexural rigidity, the solutions of FG annular sector plates can be easily extracted from equation of homogeneous annular plates. Finally, the effects of the exponents of the power functions, aspect ratio, inner to outer radius ratio and boundary conditions on the mechanical behavior of a functionally graded annular sector plate are discussed.

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