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020 _a9783540444428
_9978-3-540-44442-8
024 7 _a10.1007/BFb0103751
_2doi
050 4 _aT57-57.97
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPBW
_2thema
082 0 4 _a519
_223
100 1 _aFuchs, Martin.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aVariational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids
_h[electronic resource] /
_cby Martin Fuchs, Gregory Seregin.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2000.
300 _aVIII, 276 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1749
505 0 _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.
520 _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.
650 0 _aMathematics.
650 0 _aMechanics.
650 0 _aDifferential equations, partial.
650 1 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
650 2 4 _aClassical Mechanics.
_0http://scigraph.springernature.com/things/product-market-codes/P21018
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19005
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
700 1 _aSeregin, Gregory.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540413974
776 0 8 _iPrinted edition:
_z9783662202579
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1749
856 4 0 _uhttps://doi.org/10.1007/BFb0103751
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c9977
_d9977