Distributional Concept of the Elastic-Viscoelastic Correspondence Principle

[+] Author and Article Information
V. Kovarik

Department of Composite Materials and Structures, Klokner Institute of Czech Technical University, 166 08 Prague, Czech Republic

J. Appl. Mech 62(4), 847-852 (Dec 01, 1995) (6 pages) doi:10.1115/1.2896010 History: Received May 16, 1994; Revised August 05, 1994; Online October 30, 2007


Distribution concept of physical variables in viscoelasticity theory enables to represent the stress-strain relations in the form of convolution equations, that is algebraic equations in the convolution algebra of right-sided distributions. These equations can be handled in much the same way that one handles matrix equations. Distributional correspondence principle is formulated as a transition process from the algebra of numbers (elastic solution) to the convolution algebra of distributions (viscoelastic solution). Corresponding elements and operations, respectively, in both algebras are established. Applications to a wide class of problems of the plate and shell theory are shown.

Copyright © 1995 by The American Society of Mechanical Engineers
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