Autor:	Valentin Salo, O. K. Morachkovskii, Yu. V. Romashov
Rok vydání:	2002
Předmět:	Basis (linear algebra) Mechanics of Materials Variational principle Mechanical Engineering Numerical analysis Mathematical analysis Convergence (routing) Cylinder Geometry Boundary value problem Calculus of variations Deformation (engineering) Mathematics
Zdroj:	International Applied Mechanics. 38:174-180
ISSN:	1063-7095
DOI:	10.1023/a:1015760826979
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4011027da51cbba8fb68fccb67dcffb5 https://doi.org/10.1023/a:1015760826979 Zobrazit plný text záznamu Full text from SpringerLink