Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties

Nonlinear thermo-mechanical stability of shear deformable FGM sandwich shallow spherical shells with tangential edge constraints

“…1. Motivated by previous works [18][19][20] and from lack of results for FGM sandwich spherical shells, this paper presents an analytical approach to investigate the nonlinear axisymmetric response of shear deformable FGM sandwich shallow spherical shells resting on elastic foundations, exposed to thermal environments and mechanically loaded by uniform external pressure. Approximate solutions are assumed to satisfy clamped boundary condition and Galerkin method is applied to obtain closed-form expressions of critical buckling loads and load-deflection relation.…”

“…In practical situations, edges of plate and shell may be partially movable only, and tangential edge constraints have considerable and important effects on the nonlinear stability and load carrying capacity of plate and shell structures [17]. Recently, Tung [18,19] considered the effects of tangential edge constraints on the post-buckling of thin FGM cylindrical panels and shear deformable FGM sandwich plates under thermal and mechanical loads. More recently, Tung analyzed separate and simultaneous influences of elastic foundations and tangential constraints of edges on the nonlinear stability of FGM shallow spherical shells [20].…”

Modal characteristics of P- and S-FGM plates with temperature-dependent materials in thermal environment

“…Malekzadeh [33] studied two-dimensional in-plane free vibrations of functionally graded circular arches with temperature-dependent properties. Tung [34] coped with the thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature-dependent properties. The same author [35] studied the nonlinear thermomechanical stability of shear deformable FGM shallow spherical shells resting on elastic foundations with temperature-dependent properties.…”

Thermal Buckling Analysis of Functionally Graded Circular Plate Resting on the Pasternak Elastic Foundation via the Differential Transform Method

“…By substituting Eqs. (13)(14)(15)(16) into Eq. (19), setting the resultant expression into the expression of the total potential energy function, Eq.…”

“…Moreover, they investigated the influences of various aspect ratios, including gradient index, crack length, plate thickness, cutout size, and boundary conditions on the critical buckling temperature rise (CBTR). Tung [16] studied the nonlinear bending and post-buckling behavior of functionally graded sandwich plates resting on elastic foundations and subject to uniform external pressure, thermal loading, and uniaxial compression in the thermal environment. Sun et al [17] numerically investigated the thermomechanical buckling and post-buckling of a functionally graded material (FGM) Timoshenko beam resting on a two-parameter non-linear elastic foundation and subject to only a temperature rise, using the shooting method.…”