Simple shear of a compressible quasilinear viscoelastic material. (March 2015)

• Record Type: Journal Article
• Authors: De Pascalis, Riccardo; Abrahams, I. David; Parnell, William J.
• Is Part Of: International journal of engineering science. Volume 88(2015:Mar.)
• Page Start: 64
• Page End: 72
• Publication Date: 2015-03
• Subjects: Quasilinear viscoelasticity -- Hyperelasticity -- Simple shear -- Fung -- Compressibility; Engineering -- Periodicals; Ingénierie -- Périodiques; Engineering; Periodicals; 620
• DOI: 10.1016/j.ijengsci.2014.11.011
• Languages: English
• ISSNs: 0020-7225

Abstract

Abstract: Fung's theory of quasilinear viscoelasticity (QLV) was recently reappraised by the authors [Proc. R. Soc. A 479 (2014), 20140058] in light of discussions in the literature of its apparent deficiencies. Due to the utility of the deformation of simple shear in a variety of applications, especially in experiment to deduce material properties, here QLV is employed to solve the problem of the simple shear of a nonlinear compressible quasilinear viscoelastic material. The effects of compressibility on the subsequent deformation and stress fields that result in this isochoric deformation are highlighted, and calculations of the dissipated energy associated with both a 'ramp' simple shear profile and oscillatory shear are given.