Approximate method of calculating stresses in a rectangular plate locally loaded by a harmonic force

From double trigonometric series for bending moments the slowly converging components are picked out. When the loading facets are small compared with the width of the plate, they are approximately summed by the analytical method. This simplifies substantially the calculation of bending moments and stresses in the zone of small loading facets compared with the usual expansion with respect to the natural vibration forms.Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 20, pp. 84–88, 1989.     

Distribution of self-balanced stresses in a stratified composite material with warped structures

We use the model of a linear, piecewise homogeneous elastic body to study the distribution of selfbalanced normal and tangential stresses for a horizontal deformation of a stratified composite material with warped structures which is under the action at infinity of uniformly distributed normal stresses directed along the stratification.Translated from Matematicheskie Metody i Fiziko-mekhanicheskie Polya, No. 26, pp. 83–89, 1987.     

Stress distribution caused by two neighboring out-of-plane locally cophasally curved fibers in a composite material

In the present paper, within the framework of a piecewise homogenous body model, with the use of the exact three-dimensional equations of elasticity theory, a method proposed earlier is developed for investigating the stress distribution caused by two neighboring out-of-plane locally cophasally curved fibers located along two parallel planes in an infinite elastic body. The body is loaded at infinity by uniformly distributed normal forces in the direction of fiber location. The self-equilibrated normal and shear stresses caused by the curved fibers are analyzed, and the influences of interaction between the fibers and of the geometric nonlinearity on the distribution of these stresses are studied. Numerical results for this interaction are obtained.     

Thermal stresses in cylinders made of composite material during cooling and storing

Mechanics of Composite Materials -     

Investigation of the temperature strain relaxation of urethane elastomers by the opticomechanical method and infrared spectroscopy

The data of an experimental investigation of polyester- and polyether-based elastomers are presented. The elastomers were investigated in creep while increasing the temperature in steps of 20°C. Infrared absorption spectra were obtained for a series of loads and temperatures and the variation of the total orientation of the molecular structure (birefringence) and the growth of the deformation with time were recorded. An attempt is made to interpret the changes in the rates of orientation of the molecular structure by varying the concentration of certain characteristic chemical bonds.Translated from Mekhanika Polimerov, No. 3, pp. 437–441, May–June, 1975.     

Thermal stresses in a granular composite of regular structure

The problem is considered of thermal stresses in a composite material which is an elastic isotropic matrix with uniform spherical inclusions placed regularly within it. A solution is presented in the form of series for a system of double-periodic solutions of the equilibrium equation built up in a special way. An infinite set of linear algebraic equations of the normal type is obtained from the boundary conditions. Numerical studies are carried out for the stress distribution at the matrix-grain contact surface, and their nature in relation to the volume content of dispersed phase and geometric structure parameters of the composite is determined.Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 19, pp. 90–93, 1988.