States of self-stress--tensions and compressions of structural elements that result in zero net forces--play an important role in determining the load-bearing ability of structures ranging from bridges to metamaterials with tunable mechanical properties. We exploit a class of recently introduced states of self-stress analogous to topological quantum states to sculpt localized buckling regions i...

The static buckling of a cylindrical shell of a four-lobed cross section of variable thickness subjected to non-uniform circumferentially compressive loads is investigated based on the thin-shell theory. Modal displacements of the shell can be described by trigonometric functions, and Fourier’s approach is used to separate the variables. The governing equations of the shell are reduced to eight...

In this study buckling analysis of solid rectangular plate made of porous material bounded with the layers of piezoelectric actuators in undrained condition is investigated. Porous material properties vary through the thickness of plate with a specific function. Distributing of the pores through the plate thickness is assumed to be the nonlinear nonsymmetric distribution. The ...

The motivation for the present study stems from the importance of delamination buckling as a viable mode of failure in laminated composite plates. This part of the study focuses on the prediction of the buckling loads and modes of unilaterally constrained rectangular plates. The laminated plates were modeled along the lines of classical lamination plate theory. Due to the out-of-plane thickness...

We investigate buckling of soft elastic capsules under negative pressure or for reduced capsule volume. Based on nonlinear shell theory and the assumption of a hyperelastic capsule membrane, shape equations for axisymmetric and initially spherical capsules are derived and solved numerically. A rich bifurcation behavior is found, which is presented in terms of bifurcation diagrams. The energetic...

In this paper we formulate the equilibrium equation for a beam made of graphene subjected to some boundary conditions and acted upon by axial compression and nonlinear lateral constrains as a fourth-order nonlinear boundary value problem. We first study the nonlinear eigenvalue problem for buckling analysis of the beam. We show the solvability of the eigenvalue problem as an asymptotic expansio...

The following article investigates buckling of moderately thick circular Nano plates with an orthotropic property under uniform radial compressive in-plane mechanical load. Taking into account nonlocal elasticity theory (Eringen), principle of virtual work, first order shear deformation plate theory (FSDT) and nonlinear Von-Karman strains, the governing equations are obtained based on displacem...