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Westergaard Method for a Crack Problem

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Problems of Fracture Mechanics and Fatigue

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Abstract

Consider the Westergaard stress function

EquationSource % MathType!MTEF!2!1!+- % feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyqaiabgU % caRiaadkeaaaa!3864! ]></EquationSource><EquationSource Format="TEX"><![CDATA[$$ {Z_I} = \frac{{\sigma (2{z^2} - {a^2})}}{{2a{{({z^2} - {a^2})}^{1/2}}}} $$
((1))

Find the loading that represents in an infinite plate with a crack of length 2a along the x-axis and determine the stress intensity factor.

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References

  1. E.E. Gdoutos (1993) Fracture Mechanics - An Introduction, Kluwer Academic Publishers, Dordrecht, Boston, London.

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Authors
  1. E. E. Gdoutos
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Editors and Affiliations

  1. School of Engineering, Democritus University of Thrace, GR-671 00, Xanthi, Greece

    Emmanuel E. Gdoutos

  2. Structural Integrity Research Institute of the University of Sheffield, Department of Mechanical Engineering, The University of Sheffield, S1 3JD, Sheffield, UK

    Chris A. Rodopoulos

  3. Department of Mechanical Engineering, The University of Sheffield, S1 3JD, Sheffield, UK

    John R. Yates

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© 2003 Springer Science+Business Media Dordrecht

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Gdoutos, E.E. (2003). Westergaard Method for a Crack Problem. In: Gdoutos, E.E., Rodopoulos, C.A., Yates, J.R. (eds) Problems of Fracture Mechanics and Fatigue. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2774-7_8

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  • DOI: https://doi.org/10.1007/978-94-017-2774-7_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6491-2

  • Online ISBN: 978-94-017-2774-7

  • eBook Packages: Springer Book Archive

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