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Mechanics of tunnelling cracks in trilayer elastic materials in tension

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Abstract

In this work, the crack driving force for a tunnelling crack in a thin brittle layer confined by dissimilar thick, and more compliant, elastic layers is considered at tensile loading. The steady-state energy release rate is evaluated using distributed dislocation technique and series representation of the complex potentials for an isotropic trimaterial. Evolution of the energy release rate with the crack length is studied by means of FEM. The 3D FEM simulations for tunnel cracks suggest that the ERR can represented by a universal relation (mastercurve) in suitably normalised co-ordinates. An analytical approximation of the ERR mastercurve is obtained as a function of crack length, cracking layer thickness, and a non-dimensional steady-state ERR.

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Authors and Affiliations

  1. Institute of Polymer Mechanics, University of Latvia, 23 Aizkraukles iela, 1006, Riga, Latvia

    J. Andersons & J. Modniks

  2. Philips Applied Technologies, High Tech Campus 7, 5656 AE, Eindhoven, The Netherlands

    P. H. M. Timmermans

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  1. J. Andersons
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  2. P. H. M. Timmermans
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  3. J. Modniks
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Correspondence to J. Andersons.

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Andersons, J., Timmermans, P.H.M. & Modniks, J. Mechanics of tunnelling cracks in trilayer elastic materials in tension. Int J Fract 148, 233–241 (2007). https://doi.org/10.1007/s10704-008-9197-3

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  • DOI: https://doi.org/10.1007/s10704-008-9197-3

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