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IUTAM Symposium on Non-Linear Singularities in Deformation and Flow

Proceedings of the IUTAM Symposium held in Haifa, Israel, 17–21 March 1997

  • Conference proceedings
  • © 1999

Overview

Editors:
  1. D. Durban

    1. Israel Institute of Technology, Technion, Haifa, Israel

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  2. J. R. A. Pearson

    1. Fluid Mechanics Department, Schlumberger Cambridge Research, Cambridge, UK

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Table of contents (30 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Introduction

    1. Length Scales, Asymptotics and Non-Linear Singularities

      • J. R. A. Pearson
      Pages 1-12

  4. Hydraulic Fracturing

    1. Fluid and Solid Singularities at the Tip of a Fluid-Driven Fracture

      • E. Detournay
      Pages 27-42

    2. Inverse Problems in Hydraulic Fracturing

      • O. P. Alekseenko, A. M. Vaisman, A. F. Zazovsky
      Pages 43-54

  6. Interfacial Effects in Fluids

    1. The Unsteady Motion of Three Phase Contact Lines

      • J. Billingham
      Pages 99-110

    2. Singularities on Viscous Interfaces

      • S. H. Davis
      Pages 111-118

    3. Spirals, Jets, and Pinches

      • Michael J. Shelley
      Pages 119-128

  7. Penetration Phenomena

    1. Localization of Strain and the Melting Wave in High-Speed Penetration

      • M. V. Ayzenberg, L. I. Slepyan
      Pages 129-140

    2. Friction and Singularities in Steady Penetration

      • D. Durban
      Pages 141-154

  8. Fracture Mechanics II

    1. Creep Induced Cohesive Crack Propagation in Mixed Mode

      • F. Barpi, S. Valente, F. Chille’, L. Imperato
      Pages 155-168

    2. Asymptotic Analysis of a Spontaneous Crack Growth. Application to a Blunt Crack

      • D. Leguillon
      Pages 169-180

    3. Experimental Investigation of Dynamic Failure Mode Transitions

      • D. Rittel
      Pages 181-192

    4. Energy Release in Fracture of Rate-Dependent Materials

      • L. I. Slepyan
      Pages 193-204
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Keywords

About this book

The IUTAM Symposium on "Non-Linear Singularities in Defonnation and Flow" took place from March 17 to 21, 1997, at the Technion in Haifa, Israel, with 70 participants from 12 countries. The leitmotif of this Symposium brought together scientists working on singularity-dominated local fields in various branches of continuum mechanics, covering traditional solid and liquid behaviour as well as that of more complex non-linear materials; non-linearities arise either from the constitutive equations for the material or from the presence of interfaces or both. The scientific committee invited speakers who presented 34 papers in 12 sessions. Topics covered in the lectures included near tip fields of cracks, notches and wedges; flow around comers, wedges and cones; interfacial phenomena; moving contact lines in multiphase systems; cusps in fluid interfaces and shocks and localization. There was a general consensus among the participants that singularities induced by non-linearities provide a challenging and currently important area of research in mechanics, engineering and applied mathematics. Presentation and discussions during the symposium initiated further studies of problems in these interesting areas. This volume contains 30 full length papers, submitted by the lecturers after the symposium and reviewed to the standards of international scientific periodicals. It is our pleasure to acknowledge the efficient and tireless help of Mrs. Alice Goodman and Mr. Gideon Wachsman of the Faculty of Aerospace Engineering at the Technion. David Durban Anthony Pearson Haifa Cambridge April 1998 IX International Scientific Committee C. Atkinson (UK) G. I. Barenblatt (USA) H. -c.

Editors and Affiliations

  • Israel Institute of Technology, Technion, Haifa, Israel

    D. Durban

  • Fluid Mechanics Department, Schlumberger Cambridge Research, Cambridge, UK

    J. R. A. Pearson

Bibliographic Information

  • Book Title: IUTAM Symposium on Non-Linear Singularities in Deformation and Flow

  • Book Subtitle: Proceedings of the IUTAM Symposium held in Haifa, Israel, 17–21 March 1997

  • Editors: D. Durban, J. R. A. Pearson

  • DOI: https://doi.org/10.1007/978-94-011-4736-1

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1999

  • Hardcover ISBN: 978-0-7923-5349-2Published: 31 October 1998

  • Softcover ISBN: 978-94-010-5991-6Published: 14 October 2012

  • eBook ISBN: 978-94-011-4736-1Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XI, 360

  • Topics: Solid Mechanics, Classical Mechanics

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