Strains Determination at the Joints of Cylindrical Glass-Metal Composite Shell Layers

The analytical method of residual strains determination on joints of layers of a glass-metal cylindrical shell arising in the course of its cooling description is provided in article. For the numerical implementation of the proposed model modern numerical and digital-analytical methods were used. In connection with the exponential change of the required functions close to butt ends of the shell numerical methods lead to instability of calculation. In order to overcome this obstacle, Godunov’s method of discrete orthogonalization was applied. It has significantly leveled disturbance peaks of strains on the surfaces conjunction of the composite shell layers.

On the Stability and Postbuckling Behavior of Shells With Corrugated Cross Sections Under External Pressure

The problem of determining the deformation of a longitudinally corrugated, long cylindrical shell under external pressure is considered. The topics that are covered can be summarized as follows: the formulation of a boundary value problem for the incremental approach as a normal system of differential equations under appropriate boundary conditions, the determination of postbuckling behavior characteristics for cylindrical shells using the discrete orthogonalization method, and an analysis of deformation for both closed and open cylindrical shells. In particular, we consider the stability and postbuckling behavior of both isotropic and composite shells. The solution is based on the relationships for the cubic version of nonlinear Timoshenko-type shell theory. A comparison is made with the well-established quadratic version, as well as analytical solutions where applicable. The necessity for using more precise equations to examine the postbuckling behavior of shells is shown. Using this higher-order approach, it is possible to determine the postbuckling behavior with much greater accuracy.

Magnetoelastic Effect Analysis of a Thin Current-Carrying Plate in an Invariable Magnetic Field

In this paper, the nonlinear magnetoelastic kinetic equations and the electrodynamics equations of a thin current-carrying plate under the action of a coupled field are given. Using the difference and quasi-linearization methods, the nonlinear magnetoelastic equations are reduced to a sequence of quasilinear differential equations, which can be solved by the discrete-orthogonalization method. The stresses and deformations in a thin current-carrying plate under the interaction of an electromagnetic field and mechanical load are calculated, and the magnetoelastic effect on the plate by the side electric current and magnetic induction intensity is studied. Numerical results show that the states of the strains and stresses in thin plates can be controlled by changing the electromagnetic parameters.