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Lecture Notes in Mathematics

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

Authors: Fuchs, Martin, Seregin, Gregory

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  • ISBN 978-3-540-44442-8
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Softcover £69.99
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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.

Table of contents (5 chapters)

  • Introduction

    Fuchs, Martin (et al.)

    Pages 1-4

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

    Fuchs, Martin (et al.)

    Pages 5-39

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

    Fuchs, Martin (et al.)

    Pages 40-130

  • Quasi-static fluids of generalized Newtonian type

    Fuchs, Martin (et al.)

    Pages 131-206

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

    Fuchs, Martin (et al.)

    Pages 207-259

Buy this book

eBook £55.99
price for United Kingdom (gross)
  • ISBN 978-3-540-44442-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover £69.99
price for United Kingdom (gross)
  • ISBN 978-3-540-41397-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1749
Copyright
2000
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-44442-8
DOI
10.1007/BFb0103751
Softcover ISBN
978-3-540-41397-4
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 276
Topics