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Computational modeling of the indentation of a cracked poroelastic half-space

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Abstract

The paper examines the computational modelling of the surface identation of a poroelastic half-space region which is weakened either by a cylindrical crack or a penny-shaped crack. The axisymmetric problems associated with those situations are examined using a finite element procedure where special singularity elements are incorporated at the crack tip and appropriate interaction conditions are incorporated on the faces of the crack. The results presented in the paper illustrate the influence of the extent of fracture and the pore pressure boundary conditions on the various surfaces, on the time dependent evolution of the stress intensity factors and the time dependent consolidation settlement of the axisymmetric indentor. The analysis is extended to the consideration of crack extension in poroelastic materials where displacement, traction and pore water pressure boundary conditions are alerted to take into account the evolving crack. The path of crack extension is established by mixed mode crack extension criteria applicable to porous fabric. The computational procedure associated with this approach is used to examine the problem of the surface indentation of a half-space by a rigid circular indentor.

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Authors and Affiliations

  1. Department of Civil Engineering and Applied Mechanics, McGill University, 817 Sherbrooke St., W., Montreal, Q.C., Canada, H3A 2K6

    A.P.S. Selvadurai & A.T. Mahyari

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  1. A.P.S. Selvadurai
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  2. A.T. Mahyari
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Selvadurai, A., Mahyari, A. Computational modeling of the indentation of a cracked poroelastic half-space. International Journal of Fracture 86, 59–74 (1997). https://doi.org/10.1023/A:1007372823282

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