DISTRIBUTIONAL CONCEPT OF THE ELASTIC VISCOELASTIC CORRESPONDENCE PRINCIPLE

Authors
Citation
V. Kovarik, DISTRIBUTIONAL CONCEPT OF THE ELASTIC VISCOELASTIC CORRESPONDENCE PRINCIPLE, Journal of applied mechanics, 62(4), 1995, pp. 847-852
Citations number
10
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanics
Journal title
ISSN journal
0021-8936
Volume
62
Issue
4
Year of publication
1995
Pages
847 - 852
Database
ISI
SICI code
0021-8936(1995)62:4<847:DCOTEV>2.0.ZU;2-C
Abstract
Distribution concept of physical variables in viscoelasticity theory e nables to represent the stress-strain relations in the form of convolu tion 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 corresp ondence principle is formulated as a transition process from the algeb ra of numbers (elastic solution) to the convolution algebra of distrib utions (viscoelastic solution). Corresponding elements and operations, respectively, in both algebras are established. Applications to a wid e class of problems of the plate and shell theory are shown.