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A conservative integral for determining stress intensity factors of a bimaterial notch

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Abstract

A bimaterial V-notch composed of two perfectly bonded wedges is considered. For unconstrained notch edges, the eigenvalue problem is solved yielding both real and complex eigenvalues. The appropriate eigenvectors are also determined. A conservative area integral is derived from the Betti reciprocal principle for determination of the stress intensity factors for this geometry. A field more singular than the asymptotic field is employed as an auxiliary solution in the conservative integral. The accuracy of the method is demonstrated by several numerical examples. In addition, results are obtained for a geometry of interest and a wide range of material combinations.

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Authors and Affiliations

  1. The Dreszer Fracture Mechanics Laboratory, Department of Solid Mechanics, Materials and Systems, The Fleischman Faculty of Engineering, Tel Aviv University, 69978, Ramat Aviv, Israel

    Leslie Banks-Sills & Alla Sherer

Authors
  1. Leslie Banks-Sills
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  2. Alla Sherer
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Banks-Sills, L., Sherer, A. A conservative integral for determining stress intensity factors of a bimaterial notch. International Journal of Fracture 115, 1–25 (2002). https://doi.org/10.1023/A:1015713829569

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