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LOCAL FIELDS FOR DYNAMIC CRACK GROWTH IN POROELASTIC FLUID-SATURATED MEDIA
Last modified: 2008-06-15
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 elastic fluid-saturated porous solids. The Biot theory of
poroelasticity with inertia forces is assumed to govern the motion of the medium. The equations of
motion, in terms of displacement potentials, has been reduced into a second order uncoupled system and
solved under a scheme of separated variables. The obtained asymptotic solution reveals the pore pressure
near the crack-tip displays the same square root singularity as the stress in the solid skeleton. Differently
from the quasistatic case, where the crack-tip is effectively drained, for dynamic crack propagation the
pore fluid has no time to diffuse away from the crack-tip.
the tip of a Mode I crack, dynamically running in elastic fluid-saturated porous solids. The Biot theory of
poroelasticity with inertia forces is assumed to govern the motion of the medium. The equations of
motion, in terms of displacement potentials, has been reduced into a second order uncoupled system and
solved under a scheme of separated variables. The obtained asymptotic solution reveals the pore pressure
near the crack-tip displays the same square root singularity as the stress in the solid skeleton. Differently
from the quasistatic case, where the crack-tip is effectively drained, for dynamic crack propagation the
pore fluid has no time to diffuse away from the crack-tip.
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