Dynamic Crack Propagation Problems of Fibre-Reinforced Concrete
Applying the built dynamic crack model of fibre concrete, bridging fiber segment is substituted by loads. When a crack propagates its fiber continues to break. By the approaches of the theory of complex functions, the problems dealt with can be translated into Riemann-Hilbert problems. Analytical so...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2012/971472 |
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| _version_ | 1850165811406176256 |
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| author | Y. H. Cheng Lu Nian Chun Li Xin-gang |
| author_facet | Y. H. Cheng Lu Nian Chun Li Xin-gang |
| author_sort | Y. H. Cheng |
| collection | DOAJ |
| description | Applying the built dynamic crack model of fibre concrete, bridging fiber segment is substituted by loads. When a crack propagates its fiber continues to break. By the approaches of the theory of complex functions, the problems dealt with can be translated into Riemann-Hilbert problems. Analytical solutions of the displacements, stresses, and dynamic stress intensity factors under the action of of moving variable loads 𝑃𝑥2/𝑡2 and 𝑃𝑡3/𝑥2, respectively, are attained by the ways of self-similar measures. After those analytical solutions are utilized by superposition theorem, the solutions of arbitrary complex problems can be obtained. |
| format | Article |
| id | doaj-art-e1871d47de8c4401bfd56b1068c34a8a |
| institution | OA Journals |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-e1871d47de8c4401bfd56b1068c34a8a2025-08-20T02:21:38ZengWileyAdvances in Civil Engineering1687-80861687-80942012-01-01201210.1155/2012/971472971472Dynamic Crack Propagation Problems of Fibre-Reinforced ConcreteY. H. Cheng0Lu Nian Chun1Li Xin-gang2School of Resources & Civil Engineering, Northeastern University, Shenyang 110004, ChinaSchool of Materials, Shenyang Ligong University, Shenyang 110168, ChinaSchool of Civil Engineering, Harbin Engineering University, Harbin 150001, ChinaApplying the built dynamic crack model of fibre concrete, bridging fiber segment is substituted by loads. When a crack propagates its fiber continues to break. By the approaches of the theory of complex functions, the problems dealt with can be translated into Riemann-Hilbert problems. Analytical solutions of the displacements, stresses, and dynamic stress intensity factors under the action of of moving variable loads 𝑃𝑥2/𝑡2 and 𝑃𝑡3/𝑥2, respectively, are attained by the ways of self-similar measures. After those analytical solutions are utilized by superposition theorem, the solutions of arbitrary complex problems can be obtained.http://dx.doi.org/10.1155/2012/971472 |
| spellingShingle | Y. H. Cheng Lu Nian Chun Li Xin-gang Dynamic Crack Propagation Problems of Fibre-Reinforced Concrete Advances in Civil Engineering |
| title | Dynamic Crack Propagation Problems of Fibre-Reinforced Concrete |
| title_full | Dynamic Crack Propagation Problems of Fibre-Reinforced Concrete |
| title_fullStr | Dynamic Crack Propagation Problems of Fibre-Reinforced Concrete |
| title_full_unstemmed | Dynamic Crack Propagation Problems of Fibre-Reinforced Concrete |
| title_short | Dynamic Crack Propagation Problems of Fibre-Reinforced Concrete |
| title_sort | dynamic crack propagation problems of fibre reinforced concrete |
| url | http://dx.doi.org/10.1155/2012/971472 |
| work_keys_str_mv | AT yhcheng dynamiccrackpropagationproblemsoffibrereinforcedconcrete AT lunianchun dynamiccrackpropagationproblemsoffibrereinforcedconcrete AT lixingang dynamiccrackpropagationproblemsoffibrereinforcedconcrete |