Fuchs M Variational Methods for Problems from Plasticity Theory 2000
General:
Name: Fuchs M Variational Methods for Problems from Plasticity Theory 2000
Format: pdf
Size: 6.56 MB
Book:
Title: Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids
Author: Martin Fuchs, Gregory Seregin
Language: polski
Year: 2000
Subjects: Science & Technology, Engineering, Mathematics, Industrial Engineering & Materials Science, Mathematical Analysis, Calculus, Mathematical Analysis – General & Miscellaneous, Strength of Materials – Materials Science
Publisher: Springer Berlin Heidelberg
ISBN: 9783540413974
Total pages: 276
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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