A summary is first presented of the conceptual difficulties and paradoxes surrounding plastic bifurcation buckling analysis. Briefly discussed are nonconservativeness, loading rate during buckling, and the discrepancy of buckling predictions with use of .I2 flow theory vs JZ deformation theory. The axisymmetric prebuckling analysis, including large deflections, elastic-plastic material behavior...

This paper presents a hyper elastic finite element-based lattice access for the illustration of post-buckling reaction in single wall carbon nanotubes (SWCNTs). A one-term incompressible Ogden-type hyper elastic model is taken in under axial compression to describe mechanical response of SWCNTs. Numerical experiments are transferred and the results are juxtapose to finite atomistic simulations,...

A rational design evaluation procedure is investigated for the elastic overall buckling load carrying capacity of single layer cylindrical lattice shell roof structures. The nature of the imperfection sensitivity of these structures is for the first time reviewed in this paper. This allows the development of the reduced stiffness buckling analytical concept for the lattice shells based upon the...

In this article, the effect of size-dependent on the buckling and vibration analysis of functionally graded (FG) double-layer boron nitride plate based on classical plate theory (CPT) under electro-thermo-mechanical loadings which is surrounded by elastic foundation is examined. This subject is developed using modified couple stress theory. Using Hamilton's principle, the governing equations of...

Motivated by recent experiments showing the compressive buckling of microtubules in cells, we study theoretically the mechanical response of and force propagation along elastic filaments embedded in a non-linear elastic medium. We find that embedded microtubules buckle when their compressive load exceeds a critical value fc, and that the resulting deformation is restricted to a penetration dept...

It is well known that buckling instabilities occur when elastic solids are subject to compressive stresses. However, this does not preclude the occurrence of instabilities in systems subject to global tensile loads. Such tensile instabilities may be caused by certain discontinuities (geometrical or material) which re-distribute the stresses applied on its boundary, generating local compressive ...

A variational principle for microtubules subject to a buckling load is derived by semi-inverse method. The microtubule is modeled as an orthotropic shell with the constitutive equations based on nonlocal elastic theory and the effect of filament network taken into account as an elastic surrounding. Microtubules can carry large compressive forces by virtue of the mechanical coupling between the ...

This paper is concerned with elastic local buckling of rectangular plates subjected to intermediate and end inplane loads. Since closed form solution for buckling analysis of plates with different end conditions and subjected to intermediate loads is complicated, numerical methods are more useful. Because of restrictions on the two finite strip methods, the longitudinal B3 spline expressions co...