Buckling is investigated of a long thin cylindrical shell under longitudinal compression as modelled by the von KK armm an{Donnell equations. Evidence is reviewed for the buckling being localised to some portion of the axial length. In accordance with this observed behaviour the equations are rst approximated circumferentially by a Galerkin procedure, whereupon cross-symmetric homoclinic soluti...

In this article, curvature effects on elastic thermal buckling of double-walled carbon nanotubes under axially compressed force are investigated using cylindrical shell model. Also, the small scale effect is taken into account in the formulation. The dependence of the interlayer van der Waals (vdW) pressure on the change of the curvatures of the inner and outer tubes at that point is considered...

The dynamic buckling of thin isotropic thermoviscoplastic cylindrical shells compressed with a uniform axial velocity prescribed at the end faces is investigated analytically and numerically. In the first part of the paper, the stressed/deformed state of a shell is assumed to have buckled if infinitesimal perturbations superimposed upon it grow. Cubic algebraic equations are derived for both th...

Buckling of a simply supported three-layer circular cylindrical shell under axial compressive load is studied. The inner and outer layers of the shell are comprised of the same homogeneous and isotropic material, and the middle layer is made of an isotropic functionally graded (FG) material whose Young’s modulus varies either affinely or parabolically in the thickness direction from its value f...

We revisit the classical problem of the buckling of a long thin axially compressed cylindrical shell. By examining the energy landscape of the perfect cylinder, we deduce an estimate of the sensitivity of the shell to imperfections. Key to obtaining this estimate is the existence of a mountain pass point for the system. We prove the existence on bounded domains of such solutions for almost all ...

This paper deals with the nonlinear buckling and post-buckling of sandwich cylindrical panels non-uniform porous core functionally graded face sheets. The imperfect are subjected to axial loading on elastic foundation. Based Donnell shell theory, von Kármán geometrical nonlinearity, governing equations derived. effects foundation, various panel characteristics, porosity parameters, thickness in...