Analytical Method of Solving Problems of Thermoelasticity with Periodic Conditions for Multilayer Foundation
A method for solving the two-dimensional stationary problem of thermoelasticity for multilayer foundations. The upper boundary of the temperature and pressure are described by periodic functions. At the lower boundary temperature and displacement zero. On the common boundary layers of the conditions...
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| Format: | Article |
| Language: | English |
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National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering"
2015-12-01
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| Series: | Механика машин, механизмов и материалов |
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| Online Access: | http://mmmm.by/en/readers-en/archive-room-en?layout=edit&id=714 |
| _version_ | 1819129540296835072 |
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| author | Igor G. Velichko |
| author_facet | Igor G. Velichko |
| author_sort | Igor G. Velichko |
| collection | DOAJ |
| description | A method for solving the two-dimensional stationary problem of thermoelasticity for multilayer foundations. The upper boundary of the temperature and pressure are described by periodic functions. At the lower boundary temperature and displacement zero. On the common boundary layers of the conditions of continuity of the temperature field and the equality of heat fluxes. The desired function in each layer are written in the form of Fourier series. To ensure the fulfillment of the conditions at the common borders layers of a modification of the method of compliance matrices. An algorithm for solving the problem. It is shown that the method gives the exact solution of the problem for any finite number of layers. According to the results of theoretical studies, numerical experiments. Formulate conclusions concerning the identified thermoelastic effects. |
| first_indexed | 2024-12-22T08:45:20Z |
| format | Article |
| id | doaj.art-6d576cee71d54aa388dbf788cedcc7a4 |
| institution | Directory Open Access Journal |
| issn | 1995-0470 2518-1475 |
| language | English |
| last_indexed | 2024-12-22T08:45:20Z |
| publishDate | 2015-12-01 |
| publisher | National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering" |
| record_format | Article |
| series | Механика машин, механизмов и материалов |
| spelling | doaj.art-6d576cee71d54aa388dbf788cedcc7a42022-12-21T18:32:07ZengNational Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering"Механика машин, механизмов и материалов1995-04702518-14752015-12-014(33)4249Analytical Method of Solving Problems of Thermoelasticity with Periodic Conditions for Multilayer FoundationIgor G. Velichko0Tavria State Agrotechnological UniversityA method for solving the two-dimensional stationary problem of thermoelasticity for multilayer foundations. The upper boundary of the temperature and pressure are described by periodic functions. At the lower boundary temperature and displacement zero. On the common boundary layers of the conditions of continuity of the temperature field and the equality of heat fluxes. The desired function in each layer are written in the form of Fourier series. To ensure the fulfillment of the conditions at the common borders layers of a modification of the method of compliance matrices. An algorithm for solving the problem. It is shown that the method gives the exact solution of the problem for any finite number of layers. According to the results of theoretical studies, numerical experiments. Formulate conclusions concerning the identified thermoelastic effects.http://mmmm.by/en/readers-en/archive-room-en?layout=edit&id=714multilayer foundationthermoelasticityrecurrence relationscompliance matrixfourier seriesfourier law |
| spellingShingle | Igor G. Velichko Analytical Method of Solving Problems of Thermoelasticity with Periodic Conditions for Multilayer Foundation Механика машин, механизмов и материалов multilayer foundation thermoelasticity recurrence relations compliance matrix fourier series fourier law |
| title | Analytical Method of Solving Problems of Thermoelasticity with Periodic Conditions for Multilayer Foundation |
| title_full | Analytical Method of Solving Problems of Thermoelasticity with Periodic Conditions for Multilayer Foundation |
| title_fullStr | Analytical Method of Solving Problems of Thermoelasticity with Periodic Conditions for Multilayer Foundation |
| title_full_unstemmed | Analytical Method of Solving Problems of Thermoelasticity with Periodic Conditions for Multilayer Foundation |
| title_short | Analytical Method of Solving Problems of Thermoelasticity with Periodic Conditions for Multilayer Foundation |
| title_sort | analytical method of solving problems of thermoelasticity with periodic conditions for multilayer foundation |
| topic | multilayer foundation thermoelasticity recurrence relations compliance matrix fourier series fourier law |
| url | http://mmmm.by/en/readers-en/archive-room-en?layout=edit&id=714 |
| work_keys_str_mv | AT igorgvelichko analyticalmethodofsolvingproblemsofthermoelasticitywithperiodicconditionsformultilayerfoundation |