Based on energy variation methods we calculated the deflection of membranes under the combined load of an external pressure and an internal lateral stress. A lateral load gives rise to buckling once a critical load is exceeded. The combination of transversal loads and lateral loads changes the properties of the membrane (and other structures) in the vicinity of the buckling load: The membrane d...

The elastic buckling of shell structures such as spherical shells subject to external pressure and cylindrical shells loaded in axial compression is highly sensitive to imperfections and often catastrophic. Recent studies of spherical shells have provided accurate quantitative results for the relation between the buckling pressure and the amplitude and shape of geometric imperfections and, addi...

the spline finite strip method (s.f.s.m.) for buckling analysis of plates and plate assemblies subjected to longitudinal compression and bending, transverse compression as well as shear is described. the method allows for the boundary conditions. local buckling coefficients of plates with different boundary conditions under compression, bending and shear are calculated. convergence studies with...

In this paper the meshless local Petrov-Galerkin (MLPG) method is implemented to study the buckling of isotropic cylindrical shells under axial load. Displacement field equations, based on Donnell and first order shear deformation theory, are taken into consideration. The set of governing equations of motion are numerically solved by the MLPG method in which according to a semi-inverse method, ...

This paper investigates the relationship between mechanical behaviors and shape of corrugated fiberboard by means of buckling analysis, which is done by FEM (Finite Element Method). Firstly, after analyzing the structure of corrugated fiberboard a single-wall corrugated fiberboard model was built. The buckling load was measured in the ideal condition by linear buckling analysis (eigenvalue buck...

In this paper, buckling of cylindrical grooved shells under axial load has been examined by theoretical and experimental methods. The shell is made of USA/API – X42 5L steel standards. This material is one of the most common materials used in gas, oil and petrochemical industries. The effect of spiral grooves on cylindrical shell was analyzed, and the results obtained from the Abaqus software w...

the current study presents a new analytical method for buckling analysis of rectangular and annular beams made up of functionally graded materials with constant thickness and poisson’s ratio. the boundary conditions of the beam are assumed to be simply supported and clamped. the stability equations were obtained by using conservation of energy. the critical buckling load and first mode shape we...

It is well known that Korn's inequality plays a central role in the theory of linear elasticity. In their recent work Grabovsky and Truskinovsky (2007) proved a connection between the Korn inequalities and buckling problems coming from nonlinear elasticity. It has been shown that when the general buckling theory by Grabovsky and Truskinovsky is applicable, then Korn's inequality gives a lower b...

in this research, the buckling and bending behaviour of smart nanocomposite plate reinforced by single- walled carbon nanotubes (swcnts) under electro-magneto-mechanical loadings is studied. the extended mixture rule approach is used to determine the elastic properties of nanocomposite plate. equilibrium equations of smart nanocomposite plate are derived using the hamilton’s principle based on ...