Title: Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Publication Date: 2000
Language: English
ISBN 10: 3540413979
ISBN 13: 9783540413974
Binding: Couverture souple
Condition: Neuf

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Synopsis

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.

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