The transient response of a circular cylinder of arbitrary thickness, embedded in a viscoelastic medium and impinged upon by plane waves, is obtained. Dilatational and shear incident waves are considered. The solution is valid within the scope of the linear theories of elasticity and viscoelasticity. The method of solution, which circumvents the difficulties encountered in the customary transform approaches, relies upon (a) the construction of a train of incident pulses from steady-state components, where each pulse represents the time history of the transient stress in the incident wave and (b) the existence of a physical mechanism that, between pulses, restores the disturbed particles of the cylinder and the surrounding medium to an unstrained state of rest. The influence on the major stress and displacement response of variations in the viscoelastic properties of the medium is investigated for the case of incident step waves. The results for the viscoelastic media are compared with corresponding results for the limiting cases of elastic-unrelaxed and elastic-relaxed media.
Skip Nav Destination
Article navigation
June 1967
Research Papers
Effect of Embedding Medium Viscoelasticity on the Transient Response to Plane Waves of Arbitrarily Thick Circular Cylinders
Jacques Crouzet-Pascal,
Jacques Crouzet-Pascal
Research Department, Grumman Aircraft Engineering Corporation, Bethpage, N. Y.
Search for other works by this author on:
Hyman Garnet,
Hyman Garnet
Research Department, Grumman Aircraft Engineering Corporation, Bethpage, N. Y.
Search for other works by this author on:
Allan Pifko
Allan Pifko
Research Department, Grumman Aircraft Engineering Corporation, Bethpage, N. Y.
Search for other works by this author on:
Jacques Crouzet-Pascal
Research Department, Grumman Aircraft Engineering Corporation, Bethpage, N. Y.
Hyman Garnet
Research Department, Grumman Aircraft Engineering Corporation, Bethpage, N. Y.
Allan Pifko
Research Department, Grumman Aircraft Engineering Corporation, Bethpage, N. Y.
J. Appl. Mech. Jun 1967, 34(2): 365-372 (8 pages)
Published Online: June 1, 1967
Article history
Received:
May 24, 1966
Revised:
December 5, 1966
Online:
September 14, 2011
Citation
Crouzet-Pascal, J., Garnet, H., and Pifko, A. (June 1, 1967). "Effect of Embedding Medium Viscoelasticity on the Transient Response to Plane Waves of Arbitrarily Thick Circular Cylinders." ASME. J. Appl. Mech. June 1967; 34(2): 365–372. https://doi.org/10.1115/1.3607691
Download citation file:
Get Email Alerts
Cited By
Related Articles
Transient Response of a Circular Cylinder of Arbitrary Thickness, in an Elastic Medium, to a Plane Dilatational Wave
J. Appl. Mech (September,1966)
Thermomechanical Behavior of Viscoelastic Media With Variable Properties Subjected to Cyclic Loading
J. Appl. Mech (September,1965)
Vibrations of Transversely Isotropic Finite Circular Cylinders
J. Appl. Mech (December,1994)
Combined Influence of Fluid Viscoelasticity and Inertia on Forced Convection Heat Transfer From a Circular Cylinder
J. Heat Transfer (April,2020)
Related Proceedings Papers
Related Chapters
Processing/Structure/Properties Relationships in Polymer Blends for the Development of Functional Polymer Foams
Advances in Multidisciplinary Engineering
Basic Features
Structural Shear Joints: Analyses, Properties and Design for Repeat Loading
Flexibility Analysis
Process Piping: The Complete Guide to ASME B31.3, Third Edition