In the present research, a unified formulation for free vibration analysis of the bidirectional functionally graded conical and cylindrical shells and annular plates on elastic foundations is developed. To cover more individual cases and optimally tailored material properties, the material properties are assumed to vary in both the meridian/radial and transverse directions. The shell/plate is a...

Vibrations of launch vehicle conical fairings are investigated. Fairings simulated using thin conic shells. The modal analysis a elastic shell is based on the use developed finite element model an inhomogeneous shell. In general, technique makes it possible to investigate geometrically nonlinear deformation, stability, and post-buckling behavior wide class structure implemented at each step sta...

The fracture mechanical behaviour of thin-walled structures with cracks is highly significant for structural strength design, safety and reliability analysis, defect evaluation. In this study, the effects various factors on parameters, crack initiation angles plastic zones cylindrical shells are investigated. First, based J-integral displacement extrapolation methods, stress intensity circumfer...

The thermomechanical buckling of simply supported thin shallow spherical shells made of functionally graded material is presented in this paper. A metal-ceramic functionally graded shell with a power law distribution for volume fraction is considered, where its properties vary gradually through the shell thickness direction from pure metal on the inner surface to pure ceramic on the outer surfa...

The paper considers problem of buckling a thin elastic cylindrical shell, supported by rings various stiffness. approximate solution for clamping edge was obtained with analytical Rayleigh-Ritz method. parameters the optimal distribution mass structure between shell and stiffeners are found in order to maximize critical pressure. Frames zero eccentricity considered. solutions compared finite el...

The paper introduces a new alternative towards fabrication of auxetic metamaterials (materials with negative Poisson’s ratio) controlled by geometric transformations. These transformations are derived from the theory of small (infinitesimal) elastic deformation superimposed on finite elastic deformations. By using this theory, a cylindrical region filled with initial deformed foam is transforme...

Motivated by the buckling of glassy crusts formed on evaporating droplets of polymer and colloid solutions, we numerically model the deformation and buckling of spherical elastic caps controlled by varying the volume between the shell and the substrate. This volume constraint mimics the incompressibility of the unevaporated solvent. Discontinuous buckling is found to occur for sufficiently thin...