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How to derive from poroelastic 3D equations to 1D Terzaghi equation?

Submitted by Xiaogai Li on
poroelastic
terzaghi equation
Hi!

In the terzaghi equation, there is a constant M (some books call is elastic oedemetric coefficient).

Since the terzaghi equation is a special case for the general 3D biot equations under oedemetric test
boundary conditions, does any book or material explain the derivation?

If I want to mode the terzaghi problem using 3D model in FE program, the M is known, then how to get the

A general question on dynamic structure problem: spatial resolution of high-frequency modes typically is poor by using the...

Submitted by Xiaogai Li on
finite element
dynamic strcture
high-frequency modes

Hi Everyone,

I have a general question about dynamic strcture problem,

I read from some books that "spatial resolution of high-frequency modes typically is poor by using the conventional finite element spatial domain discretization"?

Could someone explain more on this? Does it because the element usually is not fine enough to capture the high frequency response or...?

Thanks a lot!

BR,

Li

WhatDifference:same stress-strain curve for linear elastic material with nonlinear young's modulus and hyperelastic material

Submitted by Xiaogai Li on
comsol
linear elastic material with nonlinear young's modulus
hyperelastic

Hi everyone,

Now I am trying to implement Ogden model in Comsol Multiphysics, but I had some problem.

Then I realized that in Comsol, it's possible to implement a nonlinear young's modulus.

But I am a little confused.

If you have a nonlinear Young's modulus, in the stress-strain curve, E is the tangent of this curve.

For hyperelastic material, let's say Ogden material. It's usually a nonlinear stress-strain curve as well.

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