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Application of Weight Function Method for Crack Analysis in Thermal Stress Fields

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Thermal Shock and Thermal Fatigue Behavior of Advanced Ceramics

Part of the book series: NATO ASI Series ((NSSE,volume 241))

Abstract

The paper presents a versatile and efficient technique, the weight function method, for calculating stress intensity factors for cracks in thermal stress fields. A unified analytical approach to the derivation of closed-form weight functions for various crack geometries is outlined. To facilitate engineering applications, analytical expressions of stress intensity factors for several basic crack face load cases, including power stress distributions and a linear-varying stress segment are presented. These results, when coupled with the superposition principle, enable stress intensity factors under arbitrary loadings to be accurately determined with minimum effort. To illustrate the approach, the weight function method is used to solve a variety of two- and three-dimensional thermal crack problems. Particular attention is given to verify the accuracy of the derived weight functions and stress intensity factors, by checking with those in the literature obtained with other methods. The unique efficiency and simplicity of the weight function method in analyzing thermal crack problems, especially for parametric studies, are demonstrated.

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Authors and Affiliations

  1. Institute of Aeronautical Materials, P.O. Box 81, Beijing, 100095, P.R. China

    X. R. Wu

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  1. X. R. Wu
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  1. Institut für Werkstoffwissenschaft, Pulvermetallurgisches Laboratorium, Max-Planck-Institut für Metallforschung, Heisenbergstr. 5, D - 7000, Stuttgart 80, Germany

    Gerold A. Schneider  & Günter Petzow  & 

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© 1993 Springer Science+Business Media Dordrecht

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Wu, X.R. (1993). Application of Weight Function Method for Crack Analysis in Thermal Stress Fields. In: Schneider, G.A., Petzow, G. (eds) Thermal Shock and Thermal Fatigue Behavior of Advanced Ceramics. NATO ASI Series, vol 241. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8200-1_10

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  • DOI: https://doi.org/10.1007/978-94-015-8200-1_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4291-0

  • Online ISBN: 978-94-015-8200-1

  • eBook Packages: Springer Book Archive

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