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...

Summary This article analyses static buckling of the so-called Gao beam nonlinear model. It considers pure problems in which vertical loads are omitted. The analysis, using minimisation energy and concept a modified Rayleigh quotient, leads to new results regarding critical load necessary for buckling, existence number post-buckling solutions. Computational provided cases with fixed axial loadi...

Stability of functionally graded beams with piezoelectric layers subjected to axial compressive load that is simply supported at both ends is studied in this paper. The displacement field of beam is assumed based on first order shear deformation beam theory. Applying the Hamilton's principle, the governing equation is established. The influences of applied voltage, dimensionless geometrical par...

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

The objective of this study is to present a brief survey on the geometrically nonlinear free vibrations of the Bernoulli-Euler, the Rayleigh, shear, and the Timoshenko beams with simple end conditions using the Homotopy Analysis Method HAM . Expressions for the natural frequencies, the transverse deflection, postbuckling load-deflection relation to, and critical buckling load are presented. The...

The encapsulation stress induced on a micromachined silicon membrane pump encapsulated in plastic is quantified. A combination of numerical and analytical techniques are used to deduce limits for the maximum permissible diemensions of a membrane subject to encapsulation stresses. The approach uses finite element techniques to estimate the membrane stress due to packaging followed by an elastic ...

Buckling is a condition where an object bent due to the application of compression (compressive) load on object. often occurs in thin-walled structures such as plates. This study aims determine buckling strength isotropic and quasi-isotropic The method used Finite Element Method (MEH). material uses aluminum 2024-T3, while carbon/epoxy T300-5208 with [0°/90°/45°/-45°]s laminate arrangement. Mod...

This study investigates geometrical non-linear analysis of composite circular cylindrical shells under external pressure over part of their surfaces and also shells subjected to combined axial compression and triangular external pressure. Donnell non-linear shell theory along with first order shear deformation theory (FOSD) are adopted in the analysis. In the case of combined axial compression ...

The present paper illustrates a light weight composite IsoTruss structure and its characteristics in buckling through finite element modelling and simulations. IsoTruss provides excellent opportunities to enhance the strength to weight ratio of a structural element. The paper presents the comparative study of compressive buckling load carrying capacity with respect to bay length of IsoTruss und...

Molecular dynamic simulation method has been employed to consider the critical buckling force, pressure, and strain of pristine and defected single-walled carbon nanotube (SWCNT) under axial compression. Effects of length, radius, chirality, Stone-Wales (SW) defect, and single vacancy (SV) defect on buckling behavior of SWCNTs have been studied. Obtained results indicate that axial stability of...