A closed-form solution is provided for the stress, pore pressure and displacement fields near the tip of a dynamic crack steadily propagating in an elastic fluid-saturated porous solid at crack tip speed ranging between the faster longitudinal wave-speed and the lower between the longitudinal Biot second wave-speed and the shear wave-speed. The Biot theory of poroelasticity with inertia forces is assumed to govern the motion of the medium. At variance with the subsonic case, for intersonic crack propagation the stress and pore pressure fields display a strong discontinuity (shock wave) across symmetric rays emanating from the moving crack tip. However, for favorable velocity regimes the stress and pore pressure singularity turns out to be weaker than square-root, leading to a vanishing small energy release rate at the crack tip. The introduction of a finite length cohesive zone remedies the vanishing of fracture energy, which is due to the point size model of the process zone.
On intersonic crack propagation in poroelastic fluid-saturated solids / Radi, Enrico; Loret, B.. - STAMPA. - 1:(2003), pp. 139-139. (Intervento presentato al convegno XVI Congresso AIMETA tenutosi a Ferrara nel 9-12 Settembre 2003).
On intersonic crack propagation in poroelastic fluid-saturated solids
RADI, Enrico;
2003
Abstract
A closed-form solution is provided for the stress, pore pressure and displacement fields near the tip of a dynamic crack steadily propagating in an elastic fluid-saturated porous solid at crack tip speed ranging between the faster longitudinal wave-speed and the lower between the longitudinal Biot second wave-speed and the shear wave-speed. The Biot theory of poroelasticity with inertia forces is assumed to govern the motion of the medium. At variance with the subsonic case, for intersonic crack propagation the stress and pore pressure fields display a strong discontinuity (shock wave) across symmetric rays emanating from the moving crack tip. However, for favorable velocity regimes the stress and pore pressure singularity turns out to be weaker than square-root, leading to a vanishing small energy release rate at the crack tip. The introduction of a finite length cohesive zone remedies the vanishing of fracture energy, which is due to the point size model of the process zone.
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