Перегляд за Автор "Lebedeva, Irina"

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Axisymmetric problem for a spherical crack on the interface of elastic media
(2006) Martynenko, Michail; Lebedeva, Irina
A problem concerning a spherical interfacial crack is solved by the eigenfunction method. The problem is reduced to a coupled system of dual-series equations in terms of Legendre functions and then to a system of singular integral equations for two unknown functions. The behaviour of the solution near the edge of the spherical crack, and the stress-intensity factors and crack-opening displacement are studied. The case when the crack surfaces are under normal internal pressure of constant intensity is examined.
Equilibrium of elastic media with internal nonFiat cracks
(2008) Martynenko, Michail; Lebedeva, Irina
A problem on torsion of an elastic medium weakened by mathematical cut on a part of the cylindrical surface is solved by exact methods of the linear theory of elasticity. The problem is reduced to a system of dual integral equations with respect to the trigonometric functions with one unknown density. Then the Fredholm integral-differential equation is examined. The analytical expressions for the stress intensity factor, the stress components on the cylinder surface outside the cut and difference between the displacements of the cut surfaces are obtained. Data obtained are applicable to the study of material damage.
The Torsion of Elastic Medium with Internal Cylindrical Crack
(2008) Martynenko, Michail; Lebedeva, Irina
A class of mixed boundary problems on equilibrium of three-dimensional bodies weakened by nonflat cracks on parts of the second-degree surfaces is examined. The general approach to these problems is developed. The solution of Lame vector equation of equilibrium is presented in the form of eigenfunction expansions. The unknown coefficients are found from boundary conditions transferred to a crack surface according to the superposition principle. Thev principle of displacements and stresses fields continuity is used out of the crack. The result is a coupled system of dual series equations or integral equations. Data obtained are applicable to the study of material damage.