Viscoelastic State for the Solutions of Spherically Symmetric Viscoelasticity Problems
Publication: Journal of Engineering Mechanics
Volume 133, Issue 6
Abstract
The solutions of the spherically symmetric, linear, isothermal, and transient viscoelasticity problems via reciprocity theorem have been investigated for a specific material. The integral form of stress–strain relations has been used. The Laplace transform of a viscoelastic state, which is necessary for the integral equation arising as a result of reciprocity theorem, has been derived. This integral equation has been solved by Laplace transform. A sample problem has been solved to test the presented formulation. A numerical application of the analytic solution of this problem has been given.
Get full access to this article
View all available purchase options and get full access to this article.
References
Chao, C. C., and Achenbach, J. D. (1963). “A simple viscoelastic analogy for stress waves.” Stress waves in anelastic solids, IUTAM, Providence, R.I., 222–238.
Christensen, R. M. (1971). Theory of viscoelasticity an introduction, Academic, New York.
Gurtin, M. E., and Sternberg, E. (1962). “On the linear theory ofviscoelasticity.” Arch. Ration. Mech. Anal., 11, 291–356.
Kadioglu, N., and Ataoglu, S. (2004). “Use of elastodynamic reciprocity for the solutions of spherically symmetric problems.” Wave Motion, 40(2), 137–142.
Kadioglu, N., and Ataoglu, S. (2005). “Use of the reciprocity theorem for axially symmetric transient problems.” Arch. Appl. Mech., 74(5–6), 325–337.
Moon, P., and Spencer, D. E. (1961). Field theory handbook, Springer, Berlin, 24.
Reddy, D. V., and Ataoglu, S. (2004). “Analysis of jointed HDPE pipe.” J. Adv. Mater., 36(3), 43–50.
Reddy, D. V., Gazagnaire, C., and Ataoglu, S. (2007). “Analysis of long-term of high-density polyethylene pipe.” J. Adv. Mater., 39(1), 63–79.
Sneddon, I. H. (1972). The use of integral transforms, McGraw-Hill, New York, 154.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 133 • Issue 6 • June 2007
Pages: 723 - 727
Copyright
© 2007 ASCE.
History
Received: Mar 8, 2005
Accepted: Dec 5, 2006
Published online: Jun 1, 2007
Published in print: Jun 2007
Notes
Note. Associate Editor: Andrew W. Smyth
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.