Stiffness matrix for elastic materials

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doubled132
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For an anisotropic material, is there any way to analytically determine the elements of the stiffness matrix?
For orthotropic and isotropic materials, there are analytical expressions relating the stiffness matrix elements to the elastic modulus and poisson's ratio, but I do not believe this exists for purely anisotropic materials, but I just wanted to make sure.
 
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I didn't even know an analytical expression existed for the orthotropic case, but after I saw your post I went in search of it and found it...
http://maeresearch.ucsd.edu/~vlubarda/research/pdfpapers/JOMMS-08.pdf (Eq. 39 or Eq. 48). Yikes!
I can't imagine anyone has written an analytical expression for the case of general anisotropy... but if you find it, let us know :)