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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Large deformations in soft porous materials: Squis
hing\, swelling\, and yielding - Christopher MacMi
nn (University of Oxford)
DTSTART;TZID=Europe/London:20160218T113000
DTEND;TZID=Europe/London:20160218T123000
UID:TALK64720AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/64720
DESCRIPTION:In an elastic solid\, the state of stress depends
on the displacement of material points from a rela
xed reference state. In a poroelastic solid\, the
mechanics of the solid skeleton are additionally c
oupled to flow through the pore structure. The cla
ssical theory of linear poroelasticity captures th
is coupling by combining Darcy&rsquo\;s law with T
erzaghi&rsquo\;s effective stress and linear elast
icity in a linearized kinematic framework. This is
a good model for very small deformations\, but it
becomes increasingly inappropriate for moderate t
o large deformations\, which are common in the con
text of phenomena such as swelling and damage\, an
d for soft materials such as gels and tissues. Her
e\, we review the well-known theory of large-defor
mation poroelasticity and then consider the implic
ations of large deformations in the context of two
model problems: (1) Classical uniaxial consolidat
ion and (2) the swelling and drying of a spherical
gel.
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