Iteration method for solving linear viscoelasticity problems

S. M. Pavlov, A. A. Svetashkov

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Substantiation is given for a new iteration method that makes it possible to solve, with prescribed accuracy, boundary-value problems of quasistatics of a linearly viscoelastic body. A theorem is proved about the convergence of the iteration processes introduced. An approximate correspondence principle, making it possible to construct a solution for viscoelastic problems from known elastic problems, is obtained as a consequence of the theorem. Examples are given of an approximate determination of the connected-creep function, in terms of which numerous analytical solutions to viscoelasticity problems can be expressed.

Original languageEnglish
Pages (from-to)400-406
Number of pages7
JournalRussian Physics Journal
Volume36
Issue number4
DOIs
Publication statusPublished - 1 Apr 1993

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viscoelasticity
iteration
theorems
boundary value problems

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Iteration method for solving linear viscoelasticity problems. / Pavlov, S. M.; Svetashkov, A. A.

In: Russian Physics Journal, Vol. 36, No. 4, 01.04.1993, p. 400-406.

Research output: Contribution to journalArticle

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