Elastic Modulus of an Anisotropic Crystal

Zythyr

If I am given that mica has a modulus of 52GPa parallel to the c-axis and 179 GPa perpendicular to the c-axis, how do I figure out the elastic modulus of a polycrystalline mica where grains are oriented randomly?

Mapes

You want the Voigt and Reuss averages, which should bound the actual value. I haven't worked through these calculations myself, but this should give you something to search for. See here, for example.

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Zythyr	Elastic Modulus of an Anisotropic Crystal Tweet If I am given that mica has a modulus of 52GPa parallel to the c-axis and 179 GPa perpendicular to the c-axis, how do I figure out the elastic modulus of a polycrystalline mica where grains are oriented randomly?

Mapes Recognitions: Gold Member Homework Help Science Advisor	You want the Voigt and Reuss averages, which should bound the actual value. I haven't worked through these calculations myself, but this should give you something to search for. See here, for example.