[MSA-talk] youngs modulus of calcite and aragonite

Michael Carpenter mc43 at esc.cam.ac.uk
Sat Oct 21 06:32:54 EDT 2017

Thanks Ross. I have the equations for calcite but not for an orthotropic 
medium and was hoping simply to be able to quote values from the 
literature. Oddly they seem not to be listed anywhere. I will have to go 
back to the basic constitutive equations.

The problem is an interesting one - control of the elastic properties of 
bivalve shells by microstructure and the properties of aragonite or calcite 
within an organic matrix.

Thanks for all the other replies I received as well.


On Oct 21 2017, Ross John Angel wrote:

>Dear Colleagues
>just a reminder; there is strictly no single 'Youngs modulus' for 
>calcite, because calcite like all minerals is elastically anisotropic, 
>and therefore the "Youngs modulus" (which is really the inverse of the 
>elastic compliance for normal stress) varies with direction.
>The full elastic tensor of calcite is reported in:
>Chen C-C, Lin C-C, Liu L-G, Sinogeikin SV, Bass JD. Elasticity of 
>single-crystal calcite and rhodochrosite by Brillouin spectroscopy. Am 
>Min 2001;86(11-12):1525-9.
> From these data you can calculate that the Youngs modulus along the 
>c-axis is 57.6 GPa, and 91.6 GPa for directions in the (001) plane, 
>which illustrates the anisotropy. Consequently the value of the average 
>Youngs modulus depends on whether you average at the Reuss (average for 
>uniform stress) or Voigt (average for uniform strain) limit; the numbers 
>being <Y>=74.9 GPa for Reuss, 97.0 GPa for Voigt.
>(all values for moduli given above are adiabatic)
>Ross Angel
>On 20/10/2017 16:26, Michael Carpenter wrote:
>> Dear friends,
>> I have been trying to find some modern values of Young's modulus for 
>> calcite and aragonite. They must be tabulated somewhere but it has 
>> been surprisingly difficult to find an appropriate source. Any 
>> suggestions either of the values or where to find them would be much 
>> appreciated.
>> Thanks.
>> Michael

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