Iterative method for solving quasistatic nonlinear viscoelastic problems
DOI:
https://doi.org/10.7242/1999-6691/2009.2.3.22Keywords:
nonlinear viscoelasticity, boundary-value problem, numerical methods, iterative algorithmAbstract
Construction of an iterative procedure for nonlinear viscoelastic boundary-value problems is considered. The proposed approach allows us to obtain the solution of the problem by solving the sequence of simpler linear elastic problems. Substantiation of the convergence of iterations is given, and the main merits of the developed method are formulated. Two model problems are solved to illustrate the construction of iterative schemes by different approximate methods and to assess the practical convergence of the iterative procedure.
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Pavlov S.M., Svetaskov A.A. Iteracionnyj metod resenia zadac linejnoj vazkouprugosti // Izv. VUZov. Fizika. - 1993. - T. 36, vyp.4. - S.129-136.
Il’usin A.A., Pobedra B.E. Osnovy matematiceskoj teorii termovazkouprugosti - M.: Nauka, 1970. - 280s.
Arutunan N.H., Kolmanovskij V.V. Teoria polzucesti neodnorodnyh tel. - M.: Nauka, 1983. - 336s.
Bugakov I.I. Polzucest’ polimernyh materialov (teoria i prilozenia). - M.: Nauka, 1973. - 288s.
Pobedra B.E. Mehanika kompozicionnyh materialov - M.: Izd-vo MGU, 1984 - 336s.
Pobedra B.E. Matematiceskaa teoria nelinejnoj vazkouprugosti // V kn.: Uprugost’ i neuprugost’. Vyp. 3. - M.: Izd-vo Mosk. un-ta, 1973. - S.95-173.
Sardakov I.N., Troanovskij I.E., Trufanov N.A. Metod geometriceskogo pogruzenia dla resenia kraevyh zadac teorii uprugosti. - Sverdlovsk: UNC AN SSSR,1984. - 66s.
Sardakov I.N., Trufanov N.A., Matveenko V.P. Metod geometriceskogo pogruzenia v teorii uprugosti. - Ekaterinburg: UrO RAN, 1999. - 298s.
Demidov S.P. Teoria uprugosti. - M.: Vyss. skola, 1979. - 432s.
Zenkevic O., Morgan K. Konecnye elementy i approksimacia: - M.: Mir, 1986. - 318s.
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