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]
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June 2000
Brief Notes
Torsion of a Viscoelastic Cylinder
R. C. Batra, Fellow ASME,
R. C. Batra, Fellow ASME
Department of Engineering Science and Mechanics, M/C 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061
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J. H. Yu
J. H. Yu
Department of Engineering Science and Mechanics, M/C 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061
Search for other works by this author on:
R. C. Batra, Fellow ASME
Department of Engineering Science and Mechanics, M/C 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061
J. H. Yu
Department of Engineering Science and Mechanics, M/C 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061
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.
J. Appl. Mech. Jun 2000, 67(2): 424-427 (4 pages)
Published Online: February 1, 2000
Article history
Received:
March 9, 1999
Revised:
February 1, 2000
Citation
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
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