Analytic matrix technique for boundary value problems in applied plasticity

dc.creatorNovozhilova, L.
dc.creatorUrazhdin, S.
dc.date2007-01-02
dc.date.accessioned2026-07-07T07:41:29Z
dc.date.available2026-07-07T07:41:29Z
dc.descriptionAn efficient matrix formalism for finding power series solutions to boundary value problems typical for technological plasticity is developed. Hyperbolic system of two first order quasilinear PDEs that models two-dimensional plastic flow of von Mises material is converted to the telegraph equation by the hodograph transformation. Solutions to the boundary value problems are found in terms of hypergeometric functions. Convergence issue is also addressed. The method is illustrated by two test problems of metal forming.
dc.description17 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0701047
dc.identifierhttp://arxiv.org/abs/math/0701047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122130
dc.subjectAnalysis of PDEs
dc.subject35L20 (Primary), 74C15 (Secondary)
dc.titleAnalytic matrix technique for boundary value problems in applied plasticity
dc.typetext

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