Skip to main content
SpringerLink
Log in

Bifurcation and Stability of Dissipative Systems

  • Book
  • © 1993

Overview

Editors:
  1. Q. S. Nguyen

    1. Ecole Polytechnique, Palaiseau, France

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 327)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (6 chapters)

  1. Front Matter

    Pages i-v
    Download chapter PDF

  2. Bifurcation and Localization in Rate-Independent Materials. Some General Considerations

    • A. Benallal, R. Billardon, G. Geymonat
    Pages 1-44

  3. Bifurcation and Stability of Time-Independent Standard Dissipative Systems

    • Q. S. Nguyen
    Pages 45-94

  4. Theory of Bifurcation and Instability in Time-Independent Plasticity

    • H. Petryk
    Pages 95-152

  5. Generic Singularities for Plastic Instability Problems

    • A. Léger, M. Potier-Ferry
    Pages 153-219

  6. On the Bifurcation and Postbifurcation Theory for a General Class of Elastic-Plastic Solids

    • N. Triantafyllidis
    Pages 221-250

  7. Tensile Instabilities at Large Strains

    • V. Tvergaard
    Pages 251-291
Back to top

Keywords

About this book

The first theme concerns the plastic buckling of structures in the spirit of Hill’s classical approach. Non-bifurcation and stability criteria are introduced and post-bifurcation analysis performed by asymptotic development method in relation with Hutchinson’s work. Some recent results on the generalized standard model are given and their connection to Hill’s general formulation is presented. Instability phenomena of inelastic flow processes such as strain localization and necking are discussed. The second theme concerns stability and bifurcation problems in internally damaged or cracked colids. In brittle fracture or brittle damage, the evolution law of crack lengths or damage parameters is time-independent like in plasticity and leads to a similar mathematical description of the quasi-static evolution. Stability and non-bifurcation criteria in the sense of Hill can be again obtained from the discussion of the rate response.

Editors and Affiliations

  • Ecole Polytechnique, Palaiseau, France

    Q. S. Nguyen

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation