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Void evolution and coalescence in porous ductile materials in simple shear

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Abstract

The fracture of porous ductile materials subjected to simple shear loading is numerically investigated using three-dimensional unit cells containing voids of various shapes and lengths of the inter-void ligament (void spacing). In shear loading, the porosity reduction is minimal while the void rotates and elongates within the shear band. The strain at coalescence was revealed to be strongly related to the initial void spacing and void shape. It is observed that a transitional spacing ratio for shear coalescence exists with coalescence being unlikely at spacing ratios lower than 0.35. Initially prolate voids are particularly prone to shear coalescence while initially oblate (flat) voids are most resistant to shear failure. The cell geometry becomes sensitive to shear coalescence for increasing void aspect and spacing ratios. In addition, the macroscopic shear stress response becomes independent of the void shape at high spacing ratios while showing a weak dependence on the void shape when the voids are far apart.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of New Brunswick, Fredericton, NB, E3B 5A3, Canada

    Mohammad Atiqur Rahman & Zengtao Chen

  2. Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    Cliff Butcher

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  1. Mohammad Atiqur Rahman
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  2. Cliff Butcher
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  3. Zengtao Chen
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Correspondence to Mohammad Atiqur Rahman.

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Rahman, M.A., Butcher, C. & Chen, Z. Void evolution and coalescence in porous ductile materials in simple shear. Int J Fract 177, 129–139 (2012). https://doi.org/10.1007/s10704-012-9759-2

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  • DOI: https://doi.org/10.1007/s10704-012-9759-2

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