Nonlinear axisymmetric deformations of an elastic tube under external pressure

Nonlinear axisymmetric deformations of an elastic tube under external pressure

the axisymmetric bifurcation analysis of an elastic cylindrical shell subjected to external pressure and axial loading

in this paper, the deformation of a thick-walled circular cylindrical shell of incompressible isotropic elastic material is considered. the shell, which is made of three-term strain energy function is subjected to the combined external and axial loading pressure. in order to obtain the relevant eigenvalues, which is the main objective of the work, the incremental equilibrium equations are so...

Steady State Axisymmetric Deformations of a Thick Elastic-thermoviscoplastic Target

Ah&act-We study the~om~h~~~l defo~ations of a thick elastic-~~pl~tic target being penetrated by a rigid long cylindrical rod, and assume that target defo~atio~ as seen by an observer situated at the penetrator nose tip are steady. We presume that the target response can be adequately modeled by the Brown-Kim-Anand flow rule. We analyze the effect of different material parameters on the deformat...

Stability of elastic icosadeltahedral shells under uniform external pressure: application to viruses under osmotic pressure.

We discuss the stability of icosadeltahedral shells subjected to a uniform external load in the form of an isotropic pressure. We demonstrate that there exists a universal critical buckling pressure scaling form that defines a locus of buckling instabilities. The parameter that uniquely determines this scaling form is shown to be the Föppl-von Karman number of nonpressurized shells. Numerical r...

An electrostatic-elastic membrane system with an external pressure

An elastic membrane subject to an external pressure and electrostatic force is considered. The resulting elliptic problem is analyzed for the strip and disk geometry. The structure of the solution set is explored with the aid of phase plane techniques, perturbation methods, and bifurcation analysis. In each case, the stability of the solution is determined using linear stability theory with the...