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  • © 2021

Fracture and Complexity

One Century since Griffith’s Milestone

  • Systematically addresses the complex aspects of damage, microcracking and fracture in composite materials
  • Written by a leading expert in the field
  • Presents state-of-the-art findings

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 237)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xxxi
  2. From Stress Singularity to Strain Energy Release Rate: Local Versus Global Approach to Fracture Mechanics

    1. Front Matter

      Pages 1-1
    2. Stress Concentration at the Notch Root

      • Alberto Carpinteri
      Pages 3-45
    3. Stress Intensification at the Crack Tip

      • Alberto Carpinteri
      Pages 47-105
    4. Energy Approach to Fracture Mechanics

      • Alberto Carpinteri
      Pages 143-177
    5. Mixed-Mode Crack Propagation

      • Alberto Carpinteri
      Pages 179-236
  3. From Simple Nonlinear Constitutive Laws to Complex Mechanical Behaviour: Catastrophe and Chaos

    1. Front Matter

      Pages 237-237
    2. Nonlinear Crack Models

      • Alberto Carpinteri
      Pages 239-341
  4. From Complex Morphological Patterns to Simple Mechanical Models: Fractality and Critical Phenomena

    1. Front Matter

      Pages 621-621

About this book

The book explores the two opposite natural trends of composite systems: (i) order and structure emerging from heterogeneity and randomness, and (ii) instability and chaos arising from simple nonlinear rules. Providing insights into the rapidly growing field of complexity sciences, the book focuses on the role of complexity in fracture mechanics. It firstly discusses the occurrence of self-similarity and fractal patterns in deformation, damage, fracture,  and fragmentation of heterogeneous materials and the apparent scaling of the nominal mechanical properties of disordered materials, as well as of the time-to-failure after fatigue and creep loading. Then the book addresses criticality in the acoustic emissions from damaged structures and tectonic faults. Further, it examines the snap-back instability in the structural behavior of relatively large composite structures in the framework of catastrophe theory, and lastly describes the transition toward chaos in the dynamics of cracked elements.

Authors and Affiliations

  • Politecnico di Torino, Torino, Italy

    Alberto Carpinteri

Bibliographic Information

  • Book Title: Fracture and Complexity

  • Book Subtitle: One Century since Griffith’s Milestone

  • Authors: Alberto Carpinteri

  • Series Title: Solid Mechanics and Its Applications

  • DOI: https://doi.org/10.1007/978-94-024-2026-5

  • Publisher: Springer Dordrecht

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Nature B.V. 2021

  • Hardcover ISBN: 978-94-024-2024-1Published: 28 June 2021

  • Softcover ISBN: 978-94-024-2028-9Published: 29 June 2022

  • eBook ISBN: 978-94-024-2026-5Published: 26 June 2021

  • Series ISSN: 0925-0042

  • Series E-ISSN: 2214-7764

  • Edition Number: 1

  • Number of Pages: XXXI, 949

  • Number of Illustrations: 615 b/w illustrations, 55 illustrations in colour

  • Topics: Solid Mechanics, Characterization and Evaluation of Materials, Classical Mechanics

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access