Biomedical Engineering Reference
In-Depth Information
Fig. 8.2
(
a
) Cartoon of the loading (11) for a cube of material (only a cross-section is visible)
representing a mechanically loaded portion of a saturated anisotropic compressible poroelastic
medium. This loading creates a uniform hydrostatic pressure
p
in the matrix material and,
consequently, a uniform strain if the porous material is homogeneous. The strain in the porous
material is then the same as that in the matrix material; in effect, uniform straining of the matrix
material results in the same straining of the pore space. Nur and Byerlee (
1971
) illustrate this
clearly by pointing out that the loading (
8.10
) of the solid is achieved by filling the pores with the
matrix material, as illustrated in (
b
). (
b
) Cartoon of the loading (
8.10
) for a cube of material (only a
cross-section is visible) equivalent to the cartoon of the loading (
8.10
)in(
a
). The fact that (
a
)-(
c
)
are mechanically equivalent is one of the keys to understanding this proof. The loading (
8.10
)
creates a uniform hydrostatic pressure
p
in the matrix material and, consequently, a uniform strain
if the porous material is homogeneous. The strain in the porous material is then the same as that in
the matrix material; in effect, uniform straining of the matrix material results in the same straining
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