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010   $a3-540-44442-4
024 7 $a10.1007/BFb0103751
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035   $a(DE-He213)978-3-540-44442-8
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100   $a20121227d2000      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aVariational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids$b[electronic resource] /$fby Martin Fuchs, Gregory Seregin
205   $a1st ed. 2000.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2000.
215   $a1 online resource (VIII, 276 p.)
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1749
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-41397-9 
320   $aIncludes bibliographical references (pages [260]-267) and index.
327   $aWeak 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.
330   $aVariational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1749
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aMechanics
606   $aMathematical physics
606   $aPartial differential equations
606   $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003
606   $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018
606   $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615  0$aMechanics.
615  0$aMathematical physics.
615  0$aPartial differential equations.
615 14$aApplications of Mathematics.
615 24$aClassical Mechanics.
615 24$aTheoretical, Mathematical and Computational Physics.
615 24$aPartial Differential Equations.
676   $a510
686   $a74C05$2msc
686   $a76A05$2msc
686   $a49N60$2msc
700   $aFuchs$b Martin$4aut$4http://id.loc.gov/vocabulary/relators/aut$065507
702   $aSeregin$b Gregory$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466521703316
996   $aVariational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids$92535430
997   $aUNISA