Журнал материаловедения и наноматериалов

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A finite Element Approach to Nonlinear Free Vibration of a Spherical Shell Panel Utilising Higher Order Shear Deformation Theory

Subrata Kumar Panda

Examine the nonlinear free vibration response of a spherical shell made of functionally graded materials (FGMs).

Temperature independent (TID) material qualities are used to subject it to uniform and non-uniform temperature changes.

The basic formulation is based on higher order shear deformation theory (HSDT) with Von-Karman nonlinear strains using modified C0 continuity. A direct iterative based nonlinear finite element method combined with mean centered first-order perturbation technique (FOPT) proposed for the Functionally Graded Materials plate is extended for spherical shell subjected to thermo-mechanical loading. The present outlined approach will be validated with those available in literature.