dc.contributor.author | Saccomandi, Giuseppe | |
dc.contributor.author | Vergori, Luigi | |
dc.date.accessioned | 2018-09-20T16:23:36Z | |
dc.date.available | 2018-09-20T16:23:36Z | |
dc.date.issued | 2016-01-01 | |
dc.identifier.citation | Saccomandi, Giuseppe; Vergori, Luigi (2016). Large time approximation for shearing motions. SIAM Journal on Applied Mathematics 76 (5), 1964-1983 | |
dc.identifier.issn | 0036-1399,1095-712X | |
dc.identifier.uri | http://hdl.handle.net/10379/13756 | |
dc.description.abstract | Small- and large-amplitude oscillatory shear tests are widely used by experimentalists to measure, respectively, linear and nonlinear properties of viscoelastic materials. These tests are based on the quasi-static approximation according to which the strain varies sinusoidally with time after a number of loading cycles. Despite the extensive use of the quasi-static approximation in solid mechanics, few attempts have been made to justify rigorously such an approximation. The validity of the quasi-static approximation is studied here in the framework of the Mooney-Rivlin Kelvin-Voigt viscoelastic model by solving the equations of motion analytically. For a general nonlinear model, the quasi-static approximation is instead derived by means of a perturbation analysis. | |
dc.publisher | Society for Industrial & Applied Mathematics (SIAM) | |
dc.relation.ispartof | SIAM Journal on Applied Mathematics | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | shearing motion | |
dc.subject | mooney-rivlin kelvin-voigt viscoelastic model | |
dc.subject | saos and laos tests | |
dc.subject | viscoelasticity | |
dc.subject | elasticity | |
dc.title | Large time approximation for shearing motions | |
dc.type | Article | |
dc.identifier.doi | 10.1137/16m1076599 | |
dc.local.publishedsource | http://eprints.gla.ac.uk/122381/7/122381.pdf | |
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