Application of Differential Operator with Servo-Order Function in Model of Viscoelastic Deformation Process
Publication: Journal of Engineering Mechanics
Volume 131, Issue 7
Abstract
The aim of the present paper is the application of a differential operator of variable order in constitutive relations for viscoelastic material. The dependence of the order function on the strain and strain rate is evaluated on the basis of known experimental results on deformation of polymeric materials. Established dependences are used for studying the vibrations of a 1-degree-of-freedom oscillator, in which the viscoelastic deformation is governed by a servo order function.
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Acknowledgments
The writers wish to express their gratitude to Mr. E. Goldberg for his valuable help and advice in preparation of the manuscript.
References
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© 2005 ASCE.
History
Received: Apr 30, 2003
Accepted: Dec 3, 2004
Published online: Jul 1, 2005
Published in print: Jul 2005
Notes
Note. Associate Editor: Roger G. Ghanem
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