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Документ The method of R-functions in the solution of elastic problems on the basis of reissner`s mixed variational principle(Plenum Publishing Corporation, 2002) Morachkovskii, O. K.; Romashov, Yu. V.; Salo, V. A.A method is presented for solving boundary-value elastic problems on the basis of the variational–structural method of R-functions and Reissner’s mixed variational principle. A mathematical formulation is given to problems on the deformation of elastic bodies under mixed boundary conditions and bodies interacting with smooth rigid dies. Solutions satisfying all the boundary conditions are proposed. For undetermined components of these solutions, the resolving equations are derived and their properties are studied. A posteriori estimation of numerical solutions is made. As examples, solutions are found to a problem on the stress–strain state of a short cylinder and to a contact problem on a cylinder interacting with a smooth die. A numerical method of solving such problems is analyzed for convergence, and the accuracy of the solutions is estimated.Документ Elastoplastic deformation of bodies interacting through contact under the action of pulsed electromagnetic field(Springer New York, 2016) Lavinsky, D. V.; Morachkovskii, O. K.A formulation is presented for the problem of elastoplastic deformation of the system of electrically conductive bodies under the action of pulsed electromagnetic field. The numerical technique for solving the problem is based on the finite element method. Deformation of bodies interacting through contact during the pulsed magnetic treatment of materials is analyzed. The influence of the manufacturing and design parameters of the inductor–workpiece system on its stress-strain state is investigated.Документ Investigation of the creep of thin-walled shells under nonstationary loading(Consultants Bureau, 1982) Zolochevskii, A. A.; Morachkovskii, O. K.There are creep investigations of structure elements under stationary loading in the literature. However, many elements of machines and installations in the creep state are ezploited under conditions of nonstationary loading processes. The creep of structures under such conditions has been studied inadequately, and hence such investigations are quite urgent.Документ Nonlinear creep problems of bodies under the action of fast field oscillations(Springer US, 1992) Morachkovskii, O. K.Документ Anisotropic creep and damage in structural elements under cyclic loading(Kluwer Academic/Plenum Publishers, 2015) Breslavskii, D. V.; Metelev, V. A.; Morachkovskii, O. K.A method is described to calculate creep and damage in structural elements under cyclic loading. Materials exhibiting anisotropic creep-damage behavior are considered. The results of calculating the deformation and fracture of structural elements at a plane stress state are presented.Документ Edge fixing effect on the life of a vacuum chamber thin spherical cover subjected to creep damage(Kluwer Academic/Plenum Publishers, 2011) Morachkovskii, O. K.; Romashov, Yu. V.Within framework of the numerical studies of creep resource of a thin spherical cover of a vacuum chamber, we present mathematical formulation and the calculation method for the solution of the initial boundary value problems of the creep theory of thin shells with account of the damage accumulation process of the material. The effect of edge fixing along the normal and tangential lines to the median surface, as well as angular edge fixings, on the cover life in creep are studied under atmospheric pressure creep conditions. The calculation data obtained made it possible to determine the dependence between the cover life in creep and its edge fixing conditions: this effect is strong by the latent fracture time and weak by the allowable deflection valuesДокумент Prediction of the corrosion cracking of structures under the conditions of high-temperature creep(Springer US, 2011) Morachkovskii, O. K.; Romashov, Yu. V.On the basis of the continual model of corrosion crack growth proposed earlier and the well-known incremental-type creep theory, we make an attempt to predict the corrosion cracking of structures under the conditions of high-temperature creep. We propose the mathematical statement of the problem taking into account the influence on corrosion cracking of the properties of corrosive media and the redistribution of stresses in time caused by creep. The Bubnov–Galerkin method is applied for the solution of this problem. An example of prediction of the phenomenon of corrosion cracking in the case of creep of a pipe under the action of internal pressure is analyzed