The nonlinear stability of axisymmetric functionally graded material annular spherical shells under thermo-mechanical load

Abstract

This paper investigates the nonlinear stability of axisymmetric functionally graded (FGM) annular spherical shells with temperature-dependent material properties subjected to thermo-mechanical loads and resting on elastic foundations. Equilibrium and compatibility equations are derived by using the classical thin shell theory in terms of the shell deflection and the stress function. Approximate analytical solutions are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to obtain closed -form of load -deflection paths. An analysis is carried out to show the effects of material and geometrical properties and combination of loads on the stability of the shells.

Effects of boundary conditions on bistable behaviour in axisymmetrical shallow shells

“…A nonlinear performance of the critical geometry is revealed where we can observe, for example, the effect of the limits of connectivity for stiffness extrema. We constrained our investigations to closed shells consisting of isotropic materials with external connections at the edge, but point out possible extensions for more complex constitutive laws [21,22], support conditions [23,24] or geometries [25] (e.g. polar-orthotropic annuli on elastic foundations).…”

Wrinkling of Tympanic Membrane Under Unbalanced Pressure

“…However, the mechanism of this wrinkling is not very clear, which hinders further investigations on how the pressure mismatch alters acoustic characteristics. Although numerous studies investigated the buckling of plates, membranes, and shells [4][5][6][7][8][9], the analyses are not directly applicable to the buckling of soft biomembranes here. For example, Sharghi et al [4] used an analytical approach to investigate the buckling of truncated conical shells made of composite materials with general lamination sequence.…”