Closure of crack connected with a slit in a plate under bending and tension – compression loads
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 4
Abstract
The mixed problem of contact interaction of edges of through crack connected with narrow slit in a plate under membrane and bending loadings is considered in two-dimensional statement. The edges of slit are in no contact with each other. The crack closure phenomenon caused by bending deformation is taken into account using the model of contact along the line. The distributions of displacement and rotation angle jumps as well as contact reactions on the cut have been studied on the basis of the analytical solution for arbitrary correlation of values of membrane and bending loads.
Authors and Affiliations
I. P. Shatskyi
ON THE EXISTENCE OF AN INTEGRAL MANIFOLD OF A SPECIAL TYPE OF A SOME NONLINEAR DIFFERENTIAL SYSTEM
A nonlinear system of the differential equations is considered. This system is a linear extension of the nonlinear differential equation on a circle. The coefficients of the system belong to the class F, which are the fu...
Analogs of single parametric aggregationiterative method for equations with non constant sign operators
We establish sufficient conditions for the convergence of a class of one-parameter aggregation-iterative methods. Obtained results do not include conditions about positiveness of operators and aggregate functionals, and...
DYNAMICS OF A STOCHASTIC LOTKA–VOLTERRA FOOD CHAIN MODEL
The authors would like to thank Nguyen Hai Dang for his comments on the manuscript of this paper. This paper is concerned with a stochastic Lotka-Volterra food chain model. The existence of the global solution and the ul...
DIFFRACTION OF WAVE ON THE CONICAL DEFECT IN THE ACOUSTIC ENVIRONMENT
The discontinuous solution of the wave equation for a conical defect in acoustic environment under the quasistatic dynamic load is constructed in the article. The defect is the part of the surface when passing through it...
On an adaptive method of regulator parameters adjustment at discrete time points
We offer an adaptive method of regulator parameters correction at discrete points of time. The method is based on the following idea: we choose the parameters of the parametric regulator at discrete moments of time minim...