Unloading Waves in a Plucked Hyperelastic String

[+] Author and Article Information
J. L. Wegner, J. B. Haddow

Department of Mechanical Engineering, University of Victoria, Victoria, B.C. V8W 2Y2, Canada

R. J. Tait

Department of Mathematics, University of Alberta, Edmonton, AB T6G 2G8, Canada

J. Appl. Mech 56(2), 459-465 (Jun 01, 1989) (7 pages) doi:10.1115/1.3176105 History: Received March 23, 1988; Revised August 03, 1988; Online July 21, 2009


The governing equations for the finite deformation plane motion of a hyperelastic string are obtained in conservation form. These equations and the corresponding jump relations are used to investigate the response of a symmetrically-plucked string when it is suddenly released. Similarity solutions, which are valid until the first reflection occurs at a fixed end, are obtained for two strain energy functions. Justification is given for the use of isothermal strain energy functions.

Copyright © 1989 by ASME
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