Видання зареєстровані авторами шляхом самоархівування
Permanent URI for this communityhttps://devessuir.sumdu.edu.ua/handle/123456789/1
Browse
12 results
Search Results
Item Structural Model of Nanocomposite with Anisotropic Matrix(Sumy State University, 2013) Шрамко, Юрій Вікторович; Шрамко, Юрий Викторович; Shramko, Yurii Viktorovych; Vorona, Yu.V.; Burnatnaya, G.F.; Фильштинський, Леонід Аншелович; Фильштинский, Леонид Аншелович; Fylshtynskyi, Leonid AnshelovychA structural model of the nanocomposite (a thin anisotropic substrate on which a double-periodical system of nanorods been grown) is proposed. To determine the effective elastic parameters of nanocomposite the method of regular structures was used. Numeric results were achieved by the method of mechanical quadrature. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/35518Item Dynamic problems of the theory of elasticity for layers and semilayers with cavities(Springer, 2009) Bardzokas, D.I.; Фильштинський, Леонід Аншелович; Фильштинский, Леонид Аншелович; Fylshtynskyi, Leonid Anshelovych; Кушнір, Дмитро Васильович; Кушнир, Дмитрий Васильевич; Kushnir, Dmytro VasylovychWe present a solution methodology for dynamic problems of the theory of elasticity based on the fundamental (F)-solutions approach for layers and semilayers containing cavities. Under the proposed solution framework boundary-value problems for three-dimensional cylindrical bodies are reduced to well-studied systems of one-dimensional singular integral equations. With the aid of the integral Fourier transform in time, we study the problem of impulse loading at the sides of cavities. We also demonstrate how the combination of the proposed methodology with the approach of reflections can be used for the solution of analogous problems for semi-infinite layers. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/22401Item Homogeneous solutions of the electroelasticity equations for piezoceramic layers in R3(Springer, 2010) Bardzokas, D.I.; Фильштинський, Леонід Аншелович; Фильштинский, Леонид Аншелович; Fylshtynskyi, Leonid Anshelovych; Шрамко, Лада Володимирівна; Шрамко, Лада Владимировна; Shramko, Lada VladimyrovnaWe present a procedure for the derivation of homogeneous solutions for piezoceramic layers within the framework of electroelasticity. The proposed approach simplifies considerably the Lurié (J Appl Math Mech 6:151–169, 1942) method. Two cases of mechanical boundary-conditions for piezoceramic layers are examined, namely, when the bases are (a) built in, and (b) free from the influence of forces. In both cases, the bases of the layer are assumed to be covered by grounded electrodes. It is shown that in the case of boundary conditions of the first type and for the symmetric, with respect to the mid-surface of the layer, electro-elastic state, the homogeneous solutions do not contain any biharmonic terms. We also calculate the distribution of the characteristic values of the corresponding spectrum problems for every given type of boundary conditions. The derived homogeneous solutions can be used for solving boundary-value problems for piezoceramic cylinders and layers within the framework of electroelasticity. We illustrate our approach through a practical example considering an oblique-symmetric boundary-value problem for layers which weaken due to a side to side elliptic cavity. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/22398Item Problem of coupled thermoelasticity for a half-layer with a tunnel cavity: An antisymmetric case(Springer, 2008) Фильштинський, Леонід Аншелович; Фильштинский, Леонид Аншелович; Fylshtynskyi, Leonid Anshelovych; Бондар, Олександр В`ячеславович; Бондарь, Александр Вячеславович; Bondar, Oleksandr ViacheslavovychA boundary-value problem of coupled thermoelasticity for a half-layer with a hole and mixed boundary conditions is solved. The problem is reduced to a system of four singular integral equations. It is solved numerically using the mechanical-quadrature method. A numerical experiment is conducted to study the dynamic stress concentration around cavities of different cross sections. The effect of the coupled thermal and elastic fields on the wave processes in the body is established. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/21646Item Diffraction of a magnetoelastic wave on stress concentrators in conducting bodies (antiplanar deformation)(Springer, 1995) Фильштинський, Леонід Аншелович; Фильштинский, Леонид Аншелович; Fylshtynskyi, Leonid Anshelovych; Фоменко, Людмила Іванівна; Фоменко, Людмила Ивановна; Fomenko, Liudmyla IvanivnaWe consider a two-dimensional boundary-value problem of magnetoelasticity for a half-space weakened by tunnel stress concentrators (cracks, holes) in the presence of a static magnetic field. The mechanical stimulus is taken as a magnetoelastic shear wave incident from infinity or a shear load that varies harmonically in time and is prescribed on the edges of the crack or hole. The problem reduces to a singular integral equation that can be solved numerically by the method of mechanical quadratures. We give the results of computation of the coefficient of stress intensity K111 for a slit and the stress concentration on the edge of a hole. We conclude that it is necessary to take account of electromagnetic effects in estimating the strength of diamagnetic or paramagnetic bodies. Four figures. Bibliography: 6 titles. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/21645Item Optimization of the stress tensor in an elastic anisotropic half-plane(Springer, 1995) Фильштинський, Леонід Аншелович; Фильштинский, Леонид Аншелович; Fylshtynskyi, Leonid Anshelovych; Фільштінський, Вадим Аншелєвич; Фильштинский, Вадим Аншелевич; Filshtinskyi, Vadym AnshelievychWe consider the problem of optimizing the components of the stress tensor and their integral characteristics. The normal and tangential forces prescribed on the boundary of the elastic anisotropic half-plane y≥0 are chosen from certain function classes of curvilinear strip type. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/21634Item Dynamic skew-symmetric problem of coupled thermoelasticity for a layer containing a hole(Springer, 2007) Фильштинський, Леонід Аншелович; Фильштинский, Леонид Аншелович; Fylshtynskyi, Leonid Anshelovych; Бондар, Олександр В`ячеславович; Бондарь, Александр Вячеславович; Bondar, Oleksandr ViacheslavovychWe consider a problem of coupled thermoelasticity for a layer weakened by a through hole and construct its homogeneous and F-solutions. By using these solutions, the boundary-value problem is reduced to a system of singular integral equations of the second kind. The dependence of the dynamical concentration of relative circular stresses on the first relative wave number is analyzed. The effect of coupling of the thermomechanical fields is demonstrated. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/21633Item The interaction of a magnetoelastic shear wave with longitudinal cavities in a conducting layer(Springer, 1996) Фильштинський, Леонід Аншелович; Фильштинский, Леонид Аншелович; Fylshtynskyi, Leonid Anshelovych; Острік, В. І.; Острик, В. И.; Ostrik, V. I.We study the influence of a strong magnetic field on the interaction of a shear wave with longitudinal cylindrical cavities in an elastic ideally conducting layer. The resulting singular integral equation of the boundary-value problem under consideration is implemented numerically for the case of a single cavity. We present the results of computation of the stresses on the edge of a circular cavity and an elliptical cavity. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/21632Item The influence of an external magnetic field on the dynamic stress of an elastic conducting one-sided layer with a longitudinal shear crack(Springer, 1995) Фильштинський, Леонід Аншелович; Фильштинский, Леонид Аншелович; Fylshtynskyi, Leonid Anshelovych; Острік, В. І.; Острик, В. И.; Ostrik, V. I.We study the interaction of a magnetoelastic shear wave with a curvilinear tunnel crack in an ideally conducting diamagnetic (resp. paramagnetic) one-sided (resp. two-sided) layer in the presence of an external static magnetic field. The bases of the one-sided layer are free of mechanical load, and the rim of the face is clamped or free. The corresponding linearized boundary-value problem of magnetoelasticity is reduced to a singular integrodifferential equation with subsequent implementation on a computer. We give numerical results that characterize the influence of the size of the preliminary magnetic field, the frequencies of the load, the curvature, and the orientation of the crack on the stress intensity factor. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/21630Item Fundamental two-dimensional solutions of electroelasticity for compound piezoceramic bodies(Springer, 1998) Фильштинський, Леонід Аншелович; Фильштинский, Леонид Аншелович; Fylshtynskyi, Leonid AnshelovychWe construct fundamental solutions of the two-dimensional equations of electroelasticity for antiplanar strain of a piezoceramic space with an interphase defect. We study the orders of the powers of the singularities at the vertices of the defect for two cases: an interphase crack and a stiff fiber continuously joined to the upper half-space which has flaked off the lower half-space. The solution is constructed in closed form. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/21562