Closed Form Equations for Elasticity Properties for Anisotropic Materials

AI Thread Summary
The discussion focuses on obtaining closed form equations for elasticity properties of anisotropic materials from a 6x6 stiffness or compliance matrix. The original poster seeks a definitive method to derive properties such as Ex, Ey, Ez, Gxy, Gxz, Gyz, vxy, vxz, and vyz. They express uncertainty about the existence of such a solution and reference related threads for context. A specific example for orthotropic materials is provided to illustrate the desired outcome. The conversation reveals a lack of new insights, with others also struggling with the same challenge.
jester117
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Hi all,

I'm wondering if anyone knows of a way to obtain elasticity properties (Ex, Ey, Ez, Gxy, Gxz, Gyz, vxy, vxz, vyz) from the terms of a 6x6 anisotropic stiffness or compliance matrix. I'm looking for a closed form solution, preferably. I would think that there should be a closed form solution but I'm not 100% certain so if anyone believes that

Here is a brief review of somewhat relevant threads on this site:
https://www.physicsforums.com/threads/elastic-modulus-of-an-anisotropic-crystal.397048/
https://www.physicsforums.com/threads/isotropic-crystals-anisotropic-crystals.554570/

And here is an example of the type of solution I'd like to see (note that this is for an orthotropic material):
http://www.efunda.com/formulae/solid_mechanics/mat_mechanics/hooke_orthotropic.cfm

Thank you,

jester117
 
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 
I'm sorry to say that I don't have any new info. Plenty of my colleagues are stumped by this problem as well.

-jester117
 

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