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

  • Book
  • © 2000

Overview

Authors:
  1. Martin Fuchs
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  2. Gregory Seregin
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1749)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-VI
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  2. Introduction

    • Martin Fuchs, Gregory Seregin
    Pages 1-4

  3. Weak solutions to boundary value problems in the deformation theory of perfect elastoplasticity

    • Martin Fuchs, Gregory Seregin
    Pages 5-39

  4. Differentiability properties of weak solutions to boundary value problems in the deformation theory of plasticity

    • Martin Fuchs, Gregory Seregin
    Pages 40-130

  5. Quasi-static fluids of generalized Newtonian type

    • Martin Fuchs, Gregory Seregin
    Pages 131-206

  6. Fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening law

    • Martin Fuchs, Gregory Seregin
    Pages 207-259

  7. Back Matter

    Pages 260-269
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Keywords

About this book

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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