03685nam 22007815 450 991014627240332120250729101801.03-540-44442-410.1007/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 /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,1617-9692 ;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,1617-9692 ;1749MathematicsMechanicsMathematical physicsDifferential equationsApplications of MathematicsClassical MechanicsTheoretical, Mathematical and Computational PhysicsDifferential EquationsMathematics.Mechanics.Mathematical physics.Differential equations.Applications of Mathematics.Classical Mechanics.Theoretical, Mathematical and Computational Physics.Differential Equations.51074C05msc76A05msc49N60mscFuchs Martin1957-authttp://id.loc.gov/vocabulary/relators/aut1822778Seregin Gregoryauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910146272403321Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids4389141UNINA