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Should I use the ODE (domain or global) interfaces or PDE (unsure about which form to use) interfaces for modeling a time and location dependent porosity equation?
Posted May 6, 2024, 10:01 a.m. EDT Structural Mechanics, Equation-Based Modeling Version 6.2 1 Reply
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I am trying to model the sintering phenomenon with 1D uniaxial compaction. One of the equations I have to solve for my sintering model is the following:
where 
is the porosity and 
is the 
component of the strain rate tensor 
. The dependent variable of this equation, porosity , will be used as an input for other algebraic functions I will implement under the global definitions.
I am a little confused about whether I should use a PDE or an ODE interface to model this equation. On one hand, I am under the impression that the ODE interfaces do not deal with location dependencies, they can only deal with time dependencies. From that idea, I feel that I should use the one of the PDE interfaces because the strain rate tensor component will change based on the location of the geometry.
But on the other hand, I plan to implement the equation by calling comp1.solid.Ldz from the solid mechanics module directly. So I feel like the mathematics interface will not have to calculate any location-dependent differentials. So an ODE should suffice.
Can someone shed some light on how I can pull this off? Thank you.
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Hello Aurora,
If I understand your post correctly, you want to solve a distributed ODE defined over a domain, and therefore you will want to use "Domain ODEs and DAEs".
Best regards,
Jeff
-------------------Jeff Hiller