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Part of the book series: Mechanics: Computational Mechanics ((MCOM,volume 1))

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Abstract

The limitations inherent to the BIE formulation of fracture mechanics problems were outlined in Chapter 4. It was shown that the integral equations degenerate when two surfaces of the same region become arbitrarily close.

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References

  • (1971) R.P. Kanwal, Linear Integral Equations, Academic Press, New York.

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  • (1974) E. Hinton and J.S. Campbell, Local and Global Smoothing of Discontinuous Finite Element Functions Using a Least Squares Method. International Journal of Numerical Methods in Engineering, 8, 461–480.

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  • (1975) R.D. Henshell and K.G. Shaw, Crack Tip Elements are Unnecessary. International Journal of Numerical Methods in Engineering, 9, 495–509.

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  • (1977) F.J. Rizzo and D.J. Shippy, An Advanced Boundary Integral Equation Method for Three-Dimensional Thermoelasticity, International Journal of Numerical Methods in Engineering, 11, 1753 – 1768.

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  • (1985) E.Z. Polch, T.A. Cruse, and C.-J. Huang, Buried Crack Analysis with An Advanced Traction BIE Algorithm, in Advanced Topics in Boundary Element Analysis, eds. T.A. Cruse, A.B. Pifko, and H. Armen, AMD-Vol. 72, American Society of Mechanical Engineers, New York.

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© 1988 Kluwer Academic Publishers

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Cruse, T.A. (1988). Displacement Discontinuity Modeling of Cracks. In: Boundary Element Analysis in Computational Fracture Mechanics. Mechanics: Computational Mechanics, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1385-1_7

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  • DOI: https://doi.org/10.1007/978-94-009-1385-1_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7118-5

  • Online ISBN: 978-94-009-1385-1

  • eBook Packages: Springer Book Archive

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