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]
Skip Nav Destination
Article navigation
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
Search for other works by this author on:
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
Download citation file:
Get Email Alerts
Cited By
Sound Mitigation by Metamaterials With Low-Transmission Flat Band
J. Appl. Mech (January 2025)
Deformation-Dependent Effective Vascular Permeability of a Biological Tissue Containing Parallel Microvessels
J. Appl. Mech (January 2025)
Mechanics of a Tunable Bistable Metamaterial With Shape Memory Polymer
J. Appl. Mech (January 2025)
Related Articles
Free Response of Twisted Plates with Fixed Support Separation
J. Vib. Acoust (April,2001)
Viscoelastic Dissipation in Compact Bone: Implications for Stress-Induced Fluid Flow in Bone
J Biomech Eng (April,2000)
On Saint-Venant’s Problem for an Inhomogeneous, Anisotropic Cylinder—Part II: Cross-Sectional Properties
J. Appl. Mech (May,2001)
Development of One-Dimensional Models for Elastic Waves in Heterogeneous Beams
J. Appl. Mech (December,2000)
Related Proceedings Papers
Related Chapters
Mathematical Background
Vibrations of Linear Piezostructures
Basic Concepts
Design & Analysis of ASME Boiler and Pressure Vessel Components in the Creep Range
Flexibility Analysis
Process Piping: The Complete Guide to ASME B31.3, Third Edition