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Crack Tip Shielding or Anti-shielding due to Smooth and Discontinuous Material Inhomogeneities

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Abstract

This paper describes a theoretical model and related computational methods for examining the influence of inhomogeneous material properties on the crack driving force in elastic and elastic-plastic materials. Following the configurational forces approach, the crack tip shielding or anti-shielding due to smooth (e.g. graded layer) and discontinuous (e.g. bimaterial interface) distributions in material properties are derived. Computational post-processing methods are described to evaluate these inhomogeneity effects. The utility of the theoretical model and computational methods is demonstrated by examining a bimaterial interface perpendicular to a crack in elastic and elastic-plastic compact tension specimens.

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Authors and Affiliations

  1. Department of Orthopaedic Surgery, University of Minnesota, MMC 289, 420 Delaware St. SE, Minneapolis, MN 55455, USA

    N. K. Simha

  2. Institute of Mechanics, Montanuniversität, Franz-Josef-Strasse 18, A-8700, Leoben, Austria

    F. D. Fischer

  3. Erich Schmid Institute of Materials Science, Austrian Academy of Sciences, Jahnstrasse 12, A-8700, Leoben, Austria

    F. D. Fischer & O. Kolednik

  4. Materials Center Leoben, Franz-Josef-Strasse 13, A-8700, Leoben, Austria

    F. D. Fischer & O. Kolednik

  5. Faculty of Mechanical Engineering, University of Maribor, SI-2000, Maribor, Slovenia

    J. Predan

  6. VOEST Alpine Industrieanlagenbau GmbH&Co, Turmstrasse 44, A-4031, Linz, Austria

    G. X. Shan

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  1. N. K. Simha
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  2. F. D. Fischer
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  3. O. Kolednik
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  4. J. Predan
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  5. G. X. Shan
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Correspondence to N. K. Simha.

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Simha, N.K., Fischer, F.D., Kolednik, O. et al. Crack Tip Shielding or Anti-shielding due to Smooth and Discontinuous Material Inhomogeneities. Int J Fract 135, 73–93 (2005). https://doi.org/10.1007/s10704-005-3944-5

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  • DOI: https://doi.org/10.1007/s10704-005-3944-5

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