19 - mixture theory me338 - syllabus - stanford...

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1 19 - theory of porous media 19 - mixture theory de boer theory of porous media’ [2000] 2 19 - theory of porous media me338 - syllabus mixture theory truesdell‘s metaphysical principles 19 - theory of porous media all properties of the mixture must be mathematical consequences of the properties of the constituents to describe the motion of a constituent, we may in imagination isolate it from the rest of the mixture, provided we allow properly for the actions of the other constituents upon it the motion of the mixture is governed by the same equations as is a single body. ! ! ! clifford ambrose truesdell III [1919-2000] karl von terzaghi 19 - theory of porous media karl von terzaghi [1883-1963] austrian civil engineer and geologist, father of soil mechanics

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Page 1: 19 - mixture theory me338 - syllabus - Stanford Universitybiomechanics.stanford.edu/me338_12/me338_s19.pdf · 19 - mixture theory de boer theory of porous media’ [2000] 19 ... with

1 19 - theory of porous media

19 - mixture theory

de boer �theory of porous media’ [2000] 2 19 - theory of porous media

me338 - syllabus

mixture theory

truesdell‘s metaphysical principles

19 - theory of porous media

all properties of the mixture must be mathematical consequences of the properties of the constituents

to describe the motion of a constituent, we may in imagination isolate it from the rest of the mixture, provided we allow properly for the actions of the other constituents upon it

the motion of the mixture is governed by the same equations as is a single body.

!

!

!

clifford ambrose truesdell III [1919-2000]

karl von terzaghi

19 - theory of porous media

karl von terzaghi [1883-1963] austrian civil engineer and geologist, father of soil mechanics

Page 2: 19 - mixture theory me338 - syllabus - Stanford Universitybiomechanics.stanford.edu/me338_12/me338_s19.pdf · 19 - mixture theory de boer theory of porous media’ [2000] 19 ... with

paul fillunger

19 - theory of porous media

paul fillunger [1883-1937] austrian scientist, pioneered the study of saturated ground

terzaghi vs fillunger

19 - theory of porous media

karl von terzaghi “erdbaumechanik“ [1925] paul fillunger “erdbaumechanik?” [1936]

fillunger pioneered the study of saturated ground

he discovered the difference in behaviors of the effective and general stresses in samples of ground

he is considered to be a pioneer of the theory of liquid-saturated porous solids.

fillunger's theories put him in heated conflict with karl von terzaghi, the father of soil mechanics, whom fillunger was accused of slandering. the university blamed fillunger, who then committed suicide with his wife

!

!

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biomechanics of porous tissues

19 - theory of porous media ehlers, & markert [2001]

biomechanics of porous tissues

19 - theory of porous media ehlers, & markert [2001]

Page 3: 19 - mixture theory me338 - syllabus - Stanford Universitybiomechanics.stanford.edu/me338_12/me338_s19.pdf · 19 - mixture theory de boer theory of porous media’ [2000] 19 ... with

biomechanics of porous tissues

19 - theory of porous media ehlers, & markert [2001]

saturation condition !

real and partial density !

solid displacement !

fluid seepage velocity !

solid deform. gradient !

biomechanics of porous tissues

19 - theory of porous media ehlers, & markert [2001]

balance of mass !

balance of lin mom. !

const eqn cauchy stress !

const eqn fluid pressure !

darcy’s filter law !

biomechanics of porous tissues

19 - theory of porous media ehlers, & markert [2001]

biomechanics of porous tissues

19 - theory of porous media ehlers, & markert [2001]

tangential displacement and torsional moment of computated infinitesimal torsion test

Page 4: 19 - mixture theory me338 - syllabus - Stanford Universitybiomechanics.stanford.edu/me338_12/me338_s19.pdf · 19 - mixture theory de boer theory of porous media’ [2000] 19 ... with

biomechanics of porous tissues

19 - theory of porous media ehlers, & markert [2001]

Key Concepts, Theory and Approaches to Chemical Mixture and

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