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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