ENGLISH

Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids

By Martin Fuchs , Gregory Seregin (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2000
ISBN
3540413979, 9783540413974
DOI
10.1007/BFb0103751
ISSN
0075-8434
Open Library ID
OL9057146M
Language
english
Format
DJVU
Filesize
1 MB (1152182 bytes)
Series
Lecture Notes in Mathematics 1749
Edition
1
Pages
276\275
Topic
Physics
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Mathematical and Computational Physics;Partial Dif

Description

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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