Lyapunov Exponent-Based Study of Chaotic Mechanical Behavior of Concrete under Compression
Chaos theory is advantageous in achieving a deeper understanding of the nonlinearity and randomness of concrete behavior. In this study, the experimental data of concrete under compression were examined and discussed using Lyapunov exponent. According to the value of the Lyapunov exponent, which was...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2019/7495014 |
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| _version_ | 1832563264521764864 |
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| author | Yuhu Quan Xu Yang |
| author_facet | Yuhu Quan Xu Yang |
| author_sort | Yuhu Quan |
| collection | DOAJ |
| description | Chaos theory is advantageous in achieving a deeper understanding of the nonlinearity and randomness of concrete behavior. In this study, the experimental data of concrete under compression were examined and discussed using Lyapunov exponent. According to the value of the Lyapunov exponent, which was larger than 0, it could be quantitatively demonstrated that measured and fitted data exhibited chaotic features. Besides, the mechanical behavior of concrete could be predicted by deducing its evolution equation. Furthermore, the evolution and trends of the Lyapunov exponent indicated that the series with human intervention showed a stronger chaotic property, which led to the result that this kind of series might be more difficult to predict. |
| format | Article |
| id | doaj-art-05482e1f395340c29629fc241451c1f4 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-05482e1f395340c29629fc241451c1f42025-02-03T01:20:28ZengWileyAdvances in Civil Engineering1687-80861687-80942019-01-01201910.1155/2019/74950147495014Lyapunov Exponent-Based Study of Chaotic Mechanical Behavior of Concrete under CompressionYuhu Quan0Xu Yang1School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, ChinaSchool of Civil Engineering, Harbin Institute of Technology, Harbin 150090, ChinaChaos theory is advantageous in achieving a deeper understanding of the nonlinearity and randomness of concrete behavior. In this study, the experimental data of concrete under compression were examined and discussed using Lyapunov exponent. According to the value of the Lyapunov exponent, which was larger than 0, it could be quantitatively demonstrated that measured and fitted data exhibited chaotic features. Besides, the mechanical behavior of concrete could be predicted by deducing its evolution equation. Furthermore, the evolution and trends of the Lyapunov exponent indicated that the series with human intervention showed a stronger chaotic property, which led to the result that this kind of series might be more difficult to predict.http://dx.doi.org/10.1155/2019/7495014 |
| spellingShingle | Yuhu Quan Xu Yang Lyapunov Exponent-Based Study of Chaotic Mechanical Behavior of Concrete under Compression Advances in Civil Engineering |
| title | Lyapunov Exponent-Based Study of Chaotic Mechanical Behavior of Concrete under Compression |
| title_full | Lyapunov Exponent-Based Study of Chaotic Mechanical Behavior of Concrete under Compression |
| title_fullStr | Lyapunov Exponent-Based Study of Chaotic Mechanical Behavior of Concrete under Compression |
| title_full_unstemmed | Lyapunov Exponent-Based Study of Chaotic Mechanical Behavior of Concrete under Compression |
| title_short | Lyapunov Exponent-Based Study of Chaotic Mechanical Behavior of Concrete under Compression |
| title_sort | lyapunov exponent based study of chaotic mechanical behavior of concrete under compression |
| url | http://dx.doi.org/10.1155/2019/7495014 |
| work_keys_str_mv | AT yuhuquan lyapunovexponentbasedstudyofchaoticmechanicalbehaviorofconcreteundercompression AT xuyang lyapunovexponentbasedstudyofchaoticmechanicalbehaviorofconcreteundercompression |