Magic angles for fiber reinforcement in rubber-elastic tubes subject to pressure and swelling
The synthetic fibers in a fire hose are specially oriented so as to minimize the jerk when the hose is suddenly pressurized – at other fiber orientations the hose would either extend abruptly or shorten abruptly. This is one example of a magic angle that separates different response directions in a...
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| Published in | International journal of non-linear mechanics Vol. 68; pp. 87 - 95 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.01.2015
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| Abstract | The synthetic fibers in a fire hose are specially oriented so as to minimize the jerk when the hose is suddenly pressurized – at other fiber orientations the hose would either extend abruptly or shorten abruptly. This is one example of a magic angle that separates different response directions in a deformation mode as some driving mechanism is varied. Here we investigate magic angles for winding fibers around a tube with an otherwise rubbery matrix by providing a hyperelastic analysis. While the driving mechanism of pressurization is well known in this regard, we also consider the driving mechanism of matrix swelling. Magic angles of fiber orientation are considered for axial deformation and for channel constriction. |
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| AbstractList | The synthetic fibers in a fire hose are specially oriented so as to minimize the jerk when the hose is suddenly pressurized - at other fiber orientations the hose would either extend abruptly or shorten abruptly. This is one example of a magic angle that separates different response directions in a deformation mode as some driving mechanism is varied. Here we investigate magic angles for winding fibers around a tube with an otherwise rubbery matrix by providing a hyperelastic analysis. While the driving mechanism of pressurization is well known in this regard, we also consider the driving mechanism of matrix swelling. Magic angles of fiber orientation are considered for axial deformation and for channel constriction. |
| Author | Pence, Thomas J. Demirkoparan, Hasan |
| Author_xml | – sequence: 1 givenname: Hasan orcidid: 0000-0003-1713-0349 surname: Demirkoparan fullname: Demirkoparan, Hasan email: hasand@qatar.cmu.edu organization: Carnegie Mellon University in Qatar, P.O. Box 24866 Doha, Qatar – sequence: 2 givenname: Thomas J. surname: Pence fullname: Pence, Thomas J. email: pence@egr.msu.edu organization: Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824, United States |
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| References | Goriely, Tabor (bib8) 2013; 469 Hull (bib9) 1981 Pence, Tsai (bib11) 2005; 70 Fang, Pence, Tan (bib6) 2008; 17 Demirkoparan, Pence (bib1) 2007; 42 Demirkoparan, Pence (bib2) 2007; 44 Evans, Gibson (bib5) 2002; 458 Tsai, Pence, Kirkinis (bib15) 2004; 75 Y. Fang, T.J. Pence, X. Tan, Fiber-directed conjugated-polymer torsional actuator: nonlinear elasticity modeling and experimental validation, in: IEEE/ASME Transactions on Mechatronics, vol. 16, 2011, pp. 656–664. Pence, Wineman (bib13) 2012; 47 Liu, Rahn (bib10) 2003; 70 Demirkoparan, Pence (bib3) 2008; 92 Pence, Tsai (bib12) 2006; 11 Eshelby (bib4) 1957; 241 Treloar (bib14) 1975 Hull (10.1016/j.ijnonlinmec.2014.05.008_bib9) 1981 Evans (10.1016/j.ijnonlinmec.2014.05.008_bib5) 2002; 458 Pence (10.1016/j.ijnonlinmec.2014.05.008_bib12) 2006; 11 Pence (10.1016/j.ijnonlinmec.2014.05.008_bib13) 2012; 47 Goriely (10.1016/j.ijnonlinmec.2014.05.008_bib8) 2013; 469 Fang (10.1016/j.ijnonlinmec.2014.05.008_bib6) 2008; 17 Demirkoparan (10.1016/j.ijnonlinmec.2014.05.008_bib2) 2007; 44 Eshelby (10.1016/j.ijnonlinmec.2014.05.008_bib4) 1957; 241 Pence (10.1016/j.ijnonlinmec.2014.05.008_bib11) 2005; 70 Demirkoparan (10.1016/j.ijnonlinmec.2014.05.008_bib1) 2007; 42 Treloar (10.1016/j.ijnonlinmec.2014.05.008_bib14) 1975 Demirkoparan (10.1016/j.ijnonlinmec.2014.05.008_bib3) 2008; 92 10.1016/j.ijnonlinmec.2014.05.008_bib7 Tsai (10.1016/j.ijnonlinmec.2014.05.008_bib15) 2004; 75 Liu (10.1016/j.ijnonlinmec.2014.05.008_bib10) 2003; 70 |
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| Snippet | The synthetic fibers in a fire hose are specially oriented so as to minimize the jerk when the hose is suddenly pressurized – at other fiber orientations the... The synthetic fibers in a fire hose are specially oriented so as to minimize the jerk when the hose is suddenly pressurized - at other fiber orientations the... |
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| SubjectTerms | Anisotropy Channels Deformation Fiber orientation Fiber reinforcement Finite strain Fires Hoses Pressurization Pressurizing Rubber elasticity Swelling Tubes |
| Title | Magic angles for fiber reinforcement in rubber-elastic tubes subject to pressure and swelling |
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