Show simple item record

dc.contributor.authorSaccomandi, Giuseppe
dc.contributor.authorVergori, Luigi
dc.identifier.citationSaccomandi, Giuseppe; Vergori, Luigi (2016). Large time approximation for shearing motions. SIAM Journal on Applied Mathematics 76 (5), 1964-1983
dc.description.abstractSmall- 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.publisherSociety for Industrial & Applied Mathematics (SIAM)
dc.relation.ispartofSIAM Journal on Applied Mathematics
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.subjectshearing motion
dc.subjectmooney-rivlin kelvin-voigt viscoelastic model
dc.subjectsaos and laos tests
dc.titleLarge time approximation for shearing motions

Files in this item


This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial-NoDerivs 3.0 Ireland
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland