The method of R-functions in the solution of elastic problems on the basis of reissner`s mixed variational principle
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Дата
2002
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DOI
Науковий ступінь
Рівень дисертації
Шифр та назва спеціальності
Рада захисту
Установа захисту
Науковий керівник
Члени комітету
Видавець
Plenum Publishing Corporation
Анотація
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.
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Бібліографічний опис
Morachkovskii O. K. The method of R-functions in the solution of elastic problems on the basis of reissner`s mixed variational principle / O. K. Morachkovskii, Yu. V. Romashov, V. A. Salo // International Applied Mechanics. – 2002. – Vol. 38, № 2. – P. 174-180.