Iteration method for solving linear viscoelasticity problems

S. M. Pavlov, A. A. Svetashkov

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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
Issue number4
Publication statusPublished - 1 Apr 1993

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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