exam2_review2

exam2_review2 - Poroelasticity in 1D Confined Compression (...

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Unformatted text preview: Poroelasticity in 1D Confined Compression ( 22 = 33 = 0) Assumptions: Solid: Hookean (linear elastic, or viscoelastic), homogeneous, isotropic, incompressible Liquid: Inviscid (fluid friction negligible or =0, but there is solid-liquid friction), incompressible Constitutive relation Conservation of mass Conservation of momentum Fluid-structure interaction: Darcys law ( ) p H p G tot = + = 11 11 11 2 with 1 1 11 x u = (1) ( ) ( s f tot f s f v v A A v v U t u U = = + = 1 1 ) (2) 1 11 = x (3) 1 1 x p k U = (4) Diffusion equation For stress relaxation 2 1 1 2 1 x u Hk t u = ( ) = n t L Hk n L x n n u L x u t x u 2 2 2 1 1 1 1 exp sin 2 1 , Cell-Membrane Mechanics Stretching Bending Shear Composite Equation ( ) ( ) = = = = = =...
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exam2_review2 - Poroelasticity in 1D Confined Compression (...

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