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Boundary Integral Equation Defined on a Crack Approximated with Voids

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Boundary Element Methods
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Abstract

The equilibrium of a linear elastic body with a crack is described by a boundary value problem on a domain Ω ⊂ ℝ3. Here the undeformed shape Ω is expreesed in the form of Ω = ℝ3\C, where C is a surface C with a smooth boundary. Here we assume that the surface C is approximated with a family of domains V ε (0 ≤ εε o) with smooth boundary, as in Fig.l.

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References

  1. E.Becache and T.Ha Duong, Formulation variationnelle espace-temps associee au potentiel de double couche des ondes elastiques, Rapport Interne no 199, (1989), CMAP, Ecole Polytechnique.

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  2. R. Dautray and J-L. Lions, Mathematical Analysis and Numerical Methods for Science and Technology, Volume 4, “Integral Equations and Numerical Methods”, 1984–85.

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  3. K. Ohtsuka, Generalized J-integral and three-dimensional fracture mechanics H–Surface crack problem -, Hiroshima Math. J., 16 (1986), 327–352.

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  4. R. Temam, Navier-Stokes Equations, North-Holland, 1979.

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© 1992 Springer-Verlag Berlin Heidelberg

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Ohtsuka, K. (1992). Boundary Integral Equation Defined on a Crack Approximated with Voids. In: Kobayashi, S., Nishimura, N. (eds) Boundary Element Methods. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06153-4_29

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  • DOI: https://doi.org/10.1007/978-3-662-06153-4_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-06155-8

  • Online ISBN: 978-3-662-06153-4

  • eBook Packages: Springer Book Archive

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