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Models and Phenomena in Fracture Mechanics

  • Book
  • © 2002

Overview

Authors:
  1. Leonid I. Slepyan

    1. Dept. of Solid Mechanics Materials and Systems Faculty of Engineering, Tel Aviv University, Ramat Aviv, Israel

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  • Describes and compares advanced models in fracture mechanics Presents the most improtant results, methods and open questions
  • Introduces required mathematical technique, mainly the theory of analytical functions

Part of the book series: Foundations of Engineering Mechanics (FOUNDATIONS)

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-XVII
    Download chapter PDF

  2. Introduction

    • Leonid I. Slepyan
    Pages 1-7

  3. Fundamentals and Basic Relations

    • Leonid I. Slepyan
    Pages 9-46

  4. Fourier Transform and Related Topics

    • Leonid I. Slepyan
    Pages 47-69

  5. Waves

    • Leonid I. Slepyan
    Pages 71-110

  6. One-dimensional Models

    • Leonid I. Slepyan
    Pages 111-142

  7. Static Cracks in a Linearly Elastic Body

    • Leonid I. Slepyan
    Pages 143-203

  8. Nonlinear Elastic Body

    • Leonid I. Slepyan
    Pages 205-228

  9. Viscoelastic Fracture

    • Leonid I. Slepyan
    Pages 229-248

  10. Elastic-Plastic Fracture

    • Leonid I. Slepyan
    Pages 249-296

  11. Dynamic Fracture in a Homogeneous Elastic Medium

    • Leonid I. Slepyan
    Pages 297-357

  12. Cracks in a Bending Plate

    • Leonid I. Slepyan
    Pages 359-388

  13. The Square-Cell Lattice

    • Leonid I. Slepyan
    Pages 389-443

  14. Triangular-Cell Elastic Lattice

    • Leonid I. Slepyan
    Pages 445-479

  15. Phase Transition Waves

    • Leonid I. Slepyan
    Pages 481-515

  16. Dynamic Amplification Factor in Fracture and Phase Transition

    • Leonid I. Slepyan
    Pages 517-557

  17. Back Matter

    Pages 559-579
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Keywords

About this book

Modern concepts of fracture mechanics are presented consecutively. Homogeneous and structured models, where microstructure plays an essential role, are considered for fracture and phase transition. Firstly, one-dimensional models are comprehensively studied allowing one to retrace the main phenomena without technical difficulties. More realistic models are then used as linear and nonlinear elastic mediums, such as elastic plates with crack closure, viscoelastic discrete lattices, chains and cohesive zone models. Also considered are, crack origination, equilibrium, slow and fast growth. Sub- and super critical crack speed regimes and transition from one regime to another are studied. Fourier transform and related topics, including a version of the Wiener-Hopf technique dealing with originals are presented, as well as required topics from wave theory. This book is targeted at researchers of materials and structures, also at lecturers and advanced students.

Authors and Affiliations

  • Dept. of Solid Mechanics Materials and Systems Faculty of Engineering, Tel Aviv University, Ramat Aviv, Israel

    Leonid I. Slepyan

Bibliographic Information

  • Book Title: Models and Phenomena in Fracture Mechanics

  • Authors: Leonid I. Slepyan

  • Series Title: Foundations of Engineering Mechanics

  • DOI: https://doi.org/10.1007/978-3-540-48010-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2002

  • Hardcover ISBN: 978-3-540-43767-3Published: 21 August 2002

  • Softcover ISBN: 978-3-642-07845-3Published: 08 December 2010

  • eBook ISBN: 978-3-540-48010-5Published: 07 November 2012

  • Series ISSN: 1612-1384

  • Series E-ISSN: 1860-6237

  • Edition Number: 1

  • Number of Pages: XVII, 576

  • Topics: Theoretical and Applied Mechanics, Computational Intelligence, Classical Mechanics

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