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Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids
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Catalogue Information
Field name
Details
Dewey Class
519
Title
Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids ([EBook] /) / by Martin Fuchs, Gregory Seregin.
Author
Fuchs, Martin
Added Personal Name
Seregin, Gregory
author.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2000.
Physical Details
VIII, 276 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 1749
ISBN
9783540444428
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0103751
Links to Related Works
Subject References:
Applications of Mathematics
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Applied mathematics
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Engineering mathematics
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Mathematics
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Mechanics
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Partial differential equations
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Physics
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Theoretical, Mathematical and Computational Physics
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Authors:
Fuchs, Martin
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Seregin, Gregory
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
519
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