Research Article
Dec 1973
Efficient Method for Solution of Viscoelastic Problems
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VIEW THE REPLYAuthors: Robert A. Adey and Carolos A. BrebbiaAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 99, Issue 6
Abstract
A general method capable of solving a large range of linear viscoelastic problems is presented using a Laplace transform approach. The time-dependent problem is thus reduced to an associated elastic problem in the transform plane. The analysis is accomplished by solving the associated problem in the transform plane by the finite element method and the inversion of the transformed displacements and stresses is achieved by least square collocation. The approach proved to be extremely economical in computation time compared with the step-by-step method and it can be used for a large range of time-dependent problems. The accuracy is checked against some known solutions and a further example from the field of soil mechanics is presented.
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Published In
Journal of the Engineering Mechanics Division
Volume 99 • Issue 6 • December 1973
Pages: 1119 - 1127
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Dec 1973
Published online: Feb 3, 2021
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Robert A. Adey
Research Student, Dept. of Civ. Engrg., Southampton Univ., Southampton, England
Carolos A. Brebbia
Lect., Dept. of Civ. Engrg., Southampton Univ., Southampton, England
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