Superposed Incremental Deformations of an Elastic Solid Reinforced with Fibers Resistant to Extension and Flexure
A comprehensive linear model for an elastic solid reinforced with fibers resistant to extension and flexure is presented. This includes the analysis of both unidirectional and bidirectional fiber-reinforced composites subjected to in-plane deformations. Within the prescription of the superposed incr...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/6501985 |
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| author | Chun IL Kim |
| author_facet | Chun IL Kim |
| author_sort | Chun IL Kim |
| collection | DOAJ |
| description | A comprehensive linear model for an elastic solid reinforced with fibers resistant to extension and flexure is presented. This includes the analysis of both unidirectional and bidirectional fiber-reinforced composites subjected to in-plane deformations. Within the prescription of the superposed incremental deformations, the fiber kinematics are approximated and used to determine the Euler equilibrium equations. The constraints of bulk incompressibility and admissible boundary conditions are also discussed for completeness. In particular, the complete systems of differential equations are obtained for the cases of Neo-Hookean and Mooney–Rivlin types of materials from which analytical solutions can be obtained. |
| format | Article |
| id | doaj-art-314c1c3258da47a79c3572ad6053eaeb |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-314c1c3258da47a79c3572ad6053eaeb2025-02-03T01:20:03ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422018-01-01201810.1155/2018/65019856501985Superposed Incremental Deformations of an Elastic Solid Reinforced with Fibers Resistant to Extension and FlexureChun IL Kim0Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta T6G 1H9, CanadaA comprehensive linear model for an elastic solid reinforced with fibers resistant to extension and flexure is presented. This includes the analysis of both unidirectional and bidirectional fiber-reinforced composites subjected to in-plane deformations. Within the prescription of the superposed incremental deformations, the fiber kinematics are approximated and used to determine the Euler equilibrium equations. The constraints of bulk incompressibility and admissible boundary conditions are also discussed for completeness. In particular, the complete systems of differential equations are obtained for the cases of Neo-Hookean and Mooney–Rivlin types of materials from which analytical solutions can be obtained.http://dx.doi.org/10.1155/2018/6501985 |
| spellingShingle | Chun IL Kim Superposed Incremental Deformations of an Elastic Solid Reinforced with Fibers Resistant to Extension and Flexure Advances in Materials Science and Engineering |
| title | Superposed Incremental Deformations of an Elastic Solid Reinforced with Fibers Resistant to Extension and Flexure |
| title_full | Superposed Incremental Deformations of an Elastic Solid Reinforced with Fibers Resistant to Extension and Flexure |
| title_fullStr | Superposed Incremental Deformations of an Elastic Solid Reinforced with Fibers Resistant to Extension and Flexure |
| title_full_unstemmed | Superposed Incremental Deformations of an Elastic Solid Reinforced with Fibers Resistant to Extension and Flexure |
| title_short | Superposed Incremental Deformations of an Elastic Solid Reinforced with Fibers Resistant to Extension and Flexure |
| title_sort | superposed incremental deformations of an elastic solid reinforced with fibers resistant to extension and flexure |
| url | http://dx.doi.org/10.1155/2018/6501985 |
| work_keys_str_mv | AT chunilkim superposedincrementaldeformationsofanelasticsolidreinforcedwithfibersresistanttoextensionandflexure |