exam2_review2

exam2_review2 - Poroelasticity in 1D Confined Compression...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Poroelasticity in 1D Confined Compression ( ε 22 = ε 33 = 0) Assumptions: Solid: Hookean (linear elastic, or viscoelastic), homogeneous, isotropic, incompressible Liquid: Inviscid (fluid friction negligible or μ =0, but there is solid-liquid friction), incompressible Constitutive relation Conservation of mass Conservation of momentum Fluid-structure interaction: Darcy’s law ( ) p H p G tot − = − + = 11 11 11 2 ε ε λ σ with 1 1 11 x u ∂ ∂ = ε (1) ( ) ( s f tot f s f v v A A v v U t u U − = − = + ∂ ∂ − = φ 1 1 ) (2) 1 11 = ∂ ∂ x σ (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 , π π π Cell-Membrane Mechanics • Stretching • Bending • Shear • Composite Equation ( ) ( ) ν ν ε ν σ σ − = Δ = Δ − = − = = = ∫ −...
View Full Document

This note was uploaded on 11/11/2011 for the course BIO 2.797j taught by Professor Matthewlang during the Fall '06 term at MIT.

Page1 / 4

exam2_review2 - Poroelasticity in 1D Confined Compression...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online