A closed-form asymptotic solution is provided for the stress, pore pressure and displacement fields near the tip of a Mode I crack, dynamically running in an elastic fluid-saturated porous solid. The Biot theory of poroelasticity with inertia forces is assumed to govern the motion of the medium. At variance with the quasi-static case where the crack-tip is effectively drained, for rapid transient crack propagation, the pore fluid has no time to diffuse away from the crack-tip.Both a qualitative analysis and the obtained asymptotic solution reveal that the pore pressure near the crack-tip displays the same square root singularity as stress in the solid skeleton. Previous analyses have neglected the inertia of the fluid and obtained a regular pore pressure.

The effects of inertia on crack growth in poroelastic fluid-saturated media / B., Loret; Radi, Enrico. - In: JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS. - ISSN 0022-5096. - ELETTRONICO. - 49:5(2001), pp. 995-1020. [10.1016/S0022-5096(00)00067-3]

The effects of inertia on crack growth in poroelastic fluid-saturated media

RADI, Enrico
2001

Abstract

A closed-form asymptotic solution is provided for the stress, pore pressure and displacement fields near the tip of a Mode I crack, dynamically running in an elastic fluid-saturated porous solid. The Biot theory of poroelasticity with inertia forces is assumed to govern the motion of the medium. At variance with the quasi-static case where the crack-tip is effectively drained, for rapid transient crack propagation, the pore fluid has no time to diffuse away from the crack-tip.Both a qualitative analysis and the obtained asymptotic solution reveal that the pore pressure near the crack-tip displays the same square root singularity as stress in the solid skeleton. Previous analyses have neglected the inertia of the fluid and obtained a regular pore pressure.
2001
49
5
995
1020
The effects of inertia on crack growth in poroelastic fluid-saturated media / B., Loret; Radi, Enrico. - In: JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS. - ISSN 0022-5096. - ELETTRONICO. - 49:5(2001), pp. 995-1020. [10.1016/S0022-5096(00)00067-3]
B., Loret; Radi, Enrico
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/457692
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