Integral representation of the viscoelastic relaxation function
In this paper, the integral representation of relaxation function is discussed. The stress-strain relationship equation of Maxwell model is obtained by Laplace transformation. The relaxation function in the equation can be expressed by Mittag-Leffler function. Because of the existence of large negat...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Academic Journals Center of Shanghai Normal University
2019-06-01
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| Series: | Journal of Shanghai Normal University (Natural Sciences) |
| Subjects: | |
| Online Access: | http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20190303 |
| Summary: | In this paper, the integral representation of relaxation function is discussed. The stress-strain relationship equation of Maxwell model is obtained by Laplace transformation. The relaxation function in the equation can be expressed by Mittag-Leffler function. Because of the existence of large negative arguments, it is very difficult to calculate. We use the continuous relaxation spectrum to express the Mittag-Leffler function in integral form. This problem has been solved. A numerical example illustrates the effectiveness of the result. |
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| ISSN: | 1000-5137 1000-5137 |