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The Coupled Theory of Mixtures in Geomechanics with Applications (Hardcover, 2006 ed.)
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The Coupled Theory of Mixtures in Geomechanics with Applications (Hardcover, 2006 ed.)
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Geomaterials consist of a mixture of solid particles and void space
that may be ?lled with ?uid and gas. The solid particles may be
di?erent in sizes, shapes, and behavior; and the pore liquid may
have various physical and chemical properties. Hence, physical,
chemical or electrical interaction - tween the solid particles and
pore ?uid or gas may take place. Therefore, the geomaterials in
general must be considered a mixture or a multiphase material whose
state is described by physical quantities in each phase. The
stresses carried by the solid skeleton are typically termed
"e?ective stress" while the stresses carried by the pore liquid are
termed "pore pressure. " The summation of the e?ective stress and
pore pressure is termed "total stress" (Terzaghi, 1943). For a free
drainage condition or completely undrained c- dition, the pore
pressure change is zero or depends only on the initial stress
condition; it does not depend on the skeleton response to external
forces. Therefore, a single phase description of soil behavior is
adequate. For an intermediate condition, however, some ?ow (pore
pressure leak) may take place while the force is applied and the
skeleton is under deformation. Due to the leak of pore pressure,
the pore pressure changes with time, and the e?ective stress
changes and the skeleton deforms with time accordingly. The
solution of this intermediate condition, therefore, requires a
multi-phase c- tinuum formulations that may address the interaction
of solid skeleton and pore liquid interaction.
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