Piecewise linear constitutive relations for stretch-limited elastic strings
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908312413405184 |
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| author | Bustamante, Roger Rajagopal, K. R. Rodriguez, Casey |
| author_facet | Bustamante, Roger Rajagopal, K. R. Rodriguez, Casey |
| contents | This study proposes a simple and novel class of stretch-limiting constitutive relations for perfectly flexible elastic strings drawing from modern advances in constitutive theory for elastic bodies. We investigate strings governed by constitutive relations where stretch is a bounded, piecewise linear function of tension, extending beyond the traditional Cauchy elasticity framework. Our analysis includes explicit solutions for both catenaries and longitudinal, piecewise constant stretched motions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05309 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Piecewise linear constitutive relations for stretch-limited elastic strings Bustamante, Roger Rajagopal, K. R. Rodriguez, Casey Mathematical Physics Materials Science Soft Condensed Matter This study proposes a simple and novel class of stretch-limiting constitutive relations for perfectly flexible elastic strings drawing from modern advances in constitutive theory for elastic bodies. We investigate strings governed by constitutive relations where stretch is a bounded, piecewise linear function of tension, extending beyond the traditional Cauchy elasticity framework. Our analysis includes explicit solutions for both catenaries and longitudinal, piecewise constant stretched motions. |
| title | Piecewise linear constitutive relations for stretch-limited elastic strings |
| topic | Mathematical Physics Materials Science Soft Condensed Matter |
| url | https://arxiv.org/abs/2408.05309 |