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Methods of Analysis and Solutions of Crack Problems

  • Book
  • © 1973

Overview

Editors:
  1. George C. Sih

    1. Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, USA

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Part of the book series: Mechanics of Fracture (MEFA, volume 1)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XLV
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  2. Solutions of plane crack problems by mapping technique

    • O. L. Bowie
    Pages 1-55

  3. Method of Laurent series expansion for internal crack problems

    • M. Isida
    Pages 56-130

  4. Asymptotic approximations to crack problems

    • J. P. Benthem, W. T. Koiter
    Pages 131-178

  5. Alternating method applied to edge and surface crack problems

    • R. J. Hartranft, G. C. Sih
    Pages 179-238

  6. Field singularities and related integral representations

    • Hans F. Bueckner
    Pages 239-314

  7. Integral transform methods

    • I. N. Sneddon
    Pages 315-367

  8. Numerical solution of singular integral equations

    • F. Erdogan, G. D. Gupta, T. S. Cook
    Pages 368-425

  9. Applications of the finite element method to the calculations of stress intensity factors

    • P. D. Hilton, G. C. Sih
    Pages 426-483

  10. Finite element methods for elastic bodies containing cracks

    • W. K. Wilson
    Pages 484-515

  11. Back Matter

    Pages 516-517
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Keywords

About this book

It is weH known that the traditional failure criteria cannot adequately explain failures which occur at a nominal stress level considerably lower than the ultimate strength of the material. The current procedure for predicting the safe loads or safe useful life of a structural member has been evolved around the discipline oflinear fracture mechanics. This approach introduces the concept of a crack extension force which can be used to rank materials in some order of fracture resistance. The idea is to determine the largest crack that a material will tolerate without failure. Laboratory methods for characterizing the fracture toughness of many engineering materials are now available. While these test data are useful for providing some rough guidance in the choice of materials, it is not clear how they could be used in the design of a structure. The understanding of the relationship between laboratory tests and fracture design of structures is, to say the least, deficient. Fracture mechanics is presently at astandstill until the basic problems of scaling from laboratory models to fuH size structures and mixed mode crack propagation are resolved. The answers to these questions require some basic understanding ofthe theory and will not be found by testing more specimens. The current theory of fracture is inadequate for many reasons. First of aH it can only treat idealized problems where the applied load must be directed normal to the crack plane.

Editors and Affiliations

  • Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, USA

    George C. Sih

Bibliographic Information

  • Book Title: Methods of Analysis and Solutions of Crack Problems

  • Editors: George C. Sih

  • Series Title: Mechanics of Fracture

  • DOI: https://doi.org/10.1007/978-94-017-2260-5

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media B.V. 1973

  • Hardcover ISBN: 978-90-01-79860-4Published: 31 January 1973

  • Softcover ISBN: 978-90-481-8246-6Published: 30 December 2010

  • eBook ISBN: 978-94-017-2260-5Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: XLV, 517

  • Topics: Classical Mechanics

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