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Computational modelling of steady crack extension in poroelastic media. (English) Zbl 0967.74583
From the summary: We examine the steady state constant velocity crack extension in poroelastic media in plane strain problems. The finite element formulation of the governing equations for steady crack extension in poroelastic media is developed using a Galerkin technique. The resulting system of non-symmetric coupled matrix equations depends on the propagation velocity at the crack tip. The computational scheme accounts for the stress singularity in the effective stress field at the crack tip. The numerical procedure is verified by comparison with analytical solutions for the pore pressure and displacement fields at the crack tip.

MSC:
74R99 Fracture and damage
74S05 Finite element methods applied to problems in solid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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