2D Elastostatic Problems in Parabolic Coordinates
In the present chapter, the boundary value problems are considered in a parabolic coordinate system. In terms of parabolic coordinates, the equilibrium equation system and Hooke’s law are written, and analytical (exact) solutions of 2D problems of elasticity are constructed in the homogeneous isotro...
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| Formato: | Capítulo de libro |
| Lenguaje: | inglés |
| Publicado: |
IntechOpen
2020
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| Acceso en línea: | https://www.intechopen.com/chapters/71038 |
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| _version_ | 1879164700931915776 |
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| author | Zirakashvili, Natela |
| author_browse | Zirakashvili, Natela |
| author_facet | Zirakashvili, Natela |
| author_sort | Zirakashvili, Natela |
| building | IntechOpen |
| collection | Acceso abierto |
| description | In the present chapter, the boundary value problems are considered in a parabolic coordinate system. In terms of parabolic coordinates, the equilibrium equation system and Hooke’s law are written, and analytical (exact) solutions of 2D problems of elasticity are constructed in the homogeneous isotropic body bounded by coordinate lines of the parabolic coordinate system. Analytical solutions are obtained using the method of separation of variables. The solution is constructed using its general representation by two harmonic functions. Using the MATLAB software, numerical results and constructed graphs of the some boundary value problems are obtained. |
| doi_str_mv | 10.5772/intechopen.91057 |
| first_indexed | 2026-10-15T21:38:30Z |
| format | Book Chapter |
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<dc:title>2D Elastostatic Problems in Parabolic Coordinates</dc:title>
<dc:creator>Natela Zirakashvili</dc:creator>
<dc:subject>Physical Sciences, Engineering and Technology</dc:subject>
<dc:description>In the present chapter, the boundary value problems are considered in a parabolic coordinate system. In terms of parabolic coordinates, the equilibrium equation system and Hooke’s law are written, and analytical (exact) solutions of 2D problems of elasticity are constructed in the homogeneous isotropic body bounded by coordinate lines of the parabolic coordinate system. Analytical solutions are obtained using the method of separation of variables. The solution is constructed using its general representation by two harmonic functions. Using the MATLAB software, numerical results and constructed graphs of the some boundary value problems are obtained.</dc:description>
<dc:publisher>IntechOpen</dc:publisher>
<dc:date>2020-02-12</dc:date>
<dc:type>Chapter, Part Of Book</dc:type>
<dc:identifier>https://www.intechopen.com/chapters/71038</dc:identifier>
<dc:identifier>doi:10.5772/intechopen.91057</dc:identifier>
<dc:language>en</dc:language>
<dc:relation>ISBN:978-1-83881-164-8</dc:relation>
<dc:rights>https://creativecommons.org/licenses/by/3.0/</dc:rights>
<dc:source>https://www.intechopen.com/books/8356 ; Solid State Physics - Metastable, Spintronics Materials and Mechanics of Deformable Bodies - Recent Progress</dc:source>
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| id | intech-71038 |
| institution | IntechOpen |
| isbn | 978-1-83881-164-8 |
| language | English |
| last_indexed | 2026-10-15T21:38:30Z |
| publishDate | 2020 |
| publishDateRange | 2020 |
| publishDateSort | 2020 |
| publisher | IntechOpen |
| publisherStr | IntechOpen |
| record_format | oai_dc |
| spelling | intech-710382020-02-12 2D Elastostatic Problems in Parabolic Coordinates Natela Zirakashvili Physical Sciences, Engineering and Technology In the present chapter, the boundary value problems are considered in a parabolic coordinate system. In terms of parabolic coordinates, the equilibrium equation system and Hooke’s law are written, and analytical (exact) solutions of 2D problems of elasticity are constructed in the homogeneous isotropic body bounded by coordinate lines of the parabolic coordinate system. Analytical solutions are obtained using the method of separation of variables. The solution is constructed using its general representation by two harmonic functions. Using the MATLAB software, numerical results and constructed graphs of the some boundary value problems are obtained. IntechOpen 2020-02-12 Chapter, Part Of Book https://www.intechopen.com/chapters/71038 doi:10.5772/intechopen.91057 en ISBN:978-1-83881-164-8 https://creativecommons.org/licenses/by/3.0/ https://www.intechopen.com/books/8356 ; Solid State Physics - Metastable, Spintronics Materials and Mechanics of Deformable Bodies - Recent Progress |
| spellingShingle | Physical Sciences, Engineering and Technology Zirakashvili, Natela 2D Elastostatic Problems in Parabolic Coordinates |
| title | 2D Elastostatic Problems in Parabolic Coordinates |
| title_full | 2D Elastostatic Problems in Parabolic Coordinates |
| title_fullStr | 2D Elastostatic Problems in Parabolic Coordinates |
| title_full_unstemmed | 2D Elastostatic Problems in Parabolic Coordinates |
| title_short | 2D Elastostatic Problems in Parabolic Coordinates |
| title_sort | 2d elastostatic problems in parabolic coordinates |
| topic | Physical Sciences, Engineering and Technology |
| url | https://www.intechopen.com/chapters/71038 |
| work_keys_str_mv | AT zirakashvilinatela 2delastostaticproblemsinparaboliccoordinates |