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  Volume 2, Number 3, July 2017 , pages 165-194

Thermo-mechanically induced finite element based nonlinear static response of elastically supported functionally graded plate with random system properties
Achchhe Lal, Kirankumar R. Jagtap and Birgu N. Singh

    The present work proposes the thermo mechanically induced statistics of nonlinear transverse central deflection of elastically supported functionally graded (FG) plate subjected to static loadings with random system properties. The FG plate is supported on two parameters Pasternak foundation with Winkler cubic nonlinearity. The random system properties such as material properties of FG material, external loading and foundation parameters are assumed as uncorrelated random variables. The material properties are assumed as non-uniform temperature distribution with temperature dependent (TD) material properties. The basic formulation for static is based on higher order shear deformation theory (HSDT) with von-Karman nonlinear strain kinematics through Newton-Raphson method. A second order perturbation technique (SOPT) and direct Monte Carlo simulation (MCS) are used to compute the nonlinear governing equation. The effects of load parameters, plate thickness ratios, aspect ratios, volume fraction, exponent, foundation parameters, and boundary conditions with random system properties are examined through parametric studies. The results of present approaches are compared with those results available in the literature and by employing direct Monte Carlo simulation (MCS).
Key Words
    integrated design; evaluation; current practice; integrated platform; online survey; designers
Achchhe Lal: Department of Mechanical Engineering, S.V. National Institute of Technology Surat, 395007, India
Kirankumar R. Jagtap: Department of Mechanical Engineering, Sinhgad Institute of Technology and Science, Pune, 411041, India
Birgu N. Singh: Department of Aerospace Engineering, Indian institute of Technology, Kharagpur, 721302, India

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