04134nam 22008055 450 99646652170331620210913160809.03-540-44442-410.1007/BFb0103751(CKB)1000000000437265(SSID)ssj0000327537(PQKBManifestationID)12090982(PQKBTitleCode)TC0000327537(PQKBWorkID)10301363(PQKB)11240453(DE-He213)978-3-540-44442-8(MiAaPQ)EBC6284040(MiAaPQ)EBC5579047(Au-PeEL)EBL5579047(OCoLC)1066183511(PPN)155177842(EXLCZ)99100000000043726520121227d2000 u| 0engurnn#008mamaatxtccrVariational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids[electronic resource] /by Martin Fuchs, Gregory Seregin1st ed. 2000.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2000.1 online resource (VIII, 276 p.)Lecture Notes in Mathematics,0075-8434 ;1749Bibliographic Level Mode of Issuance: Monograph3-540-41397-9 Includes bibliographical references (pages [260]-267) and index.Weak solutions to boundary value problems in the deformation theory of perfect elastoplasticity -- Differentiability properties of weak solutions to boundary value problems in the deformation theory of plasticity -- Quasi-static fluids of generalized Newtonian type -- Fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening law.Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids.Lecture Notes in Mathematics,0075-8434 ;1749Applied mathematicsEngineering mathematicsMechanicsMathematical physicsPartial differential equationsApplications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Classical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Theoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Applied mathematics.Engineering mathematics.Mechanics.Mathematical physics.Partial differential equations.Applications of Mathematics.Classical Mechanics.Theoretical, Mathematical and Computational Physics.Partial Differential Equations.51074C05msc76A05msc49N60mscFuchs Martinauthttp://id.loc.gov/vocabulary/relators/aut65507Seregin Gregoryauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996466521703316Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids2535430UNISA