Stiffness matrix for elastic materials

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SUMMARY

The discussion focuses on the analytical determination of stiffness matrix elements for anisotropic materials. While analytical expressions exist for orthotropic and isotropic materials, specifically relating stiffness matrix elements to elastic modulus and Poisson's ratio, no such expressions are confirmed for purely anisotropic materials. A reference to a paper detailing orthotropic stiffness matrix expressions is provided, specifically citing equations 39 and 48. The consensus is that the absence of an analytical expression for general anisotropy remains unchallenged.

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  • Knowledge of elastic modulus and Poisson's ratio
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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 :)
 

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