Finite torsional deformations of an incompressible viscoelastic circular cylinder are studied with its material modeled by two constitutive relations. One of these is a linear relation between the determinate part of the second Piola-Kirchhoff stress tensor and the time history of the Green-St. Venant strain tensor, and the other a linear relation between the deviatoric Cauchy stress tensor and the left Cauchy-Green tensor, its inverse, and the time history of the relative Green-St. Venant strain tensor. It is shown that the response predicted by the latter constitutive relation is in better agreement with the test data, and this constitutive relation is used to compute energy dissipated during torsional oscillations of the cylinder. [S0021-8936(00)00502-X]
Torsion of a Viscoelastic Cylinder
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, Mar. 9, 1999; final revision, Feb. 1, 2000. Associate Technical Editor: K. T. Ramesh.
Batra, R. C., and Yu, J. H. (February 1, 2000). "Torsion of a Viscoelastic Cylinder." ASME. J. Appl. Mech. June 2000; 67(2): 424–427. https://doi.org/10.1115/1.1303824
Download citation file: