I want to calculate the Poisson's ratio for glasses of different composition. The glasses contain Al2O3, SiO2, MgO, CaO in different concentrations. Is there a formula or a diagram that I can use to calculate the Poisson's ratio?
But for crystalline materials, and as I know, according to the definition of the Poisson's ratio:
It is the ratio of the transverse contraction strain to longitudinal extension strain in the direction of stretching force. Poisson's ratio, also called the Poisson coefficient (Gamma). It is given as follows:
Lateral contraction is defined as the change in the diameter (or in case of the lattice, it is the change in the lattice parameter a) divided by the original diameter (or in case of the lattice, it the lattice parameter a).
Longitudinal Strain is defined in elementary form as the change in length divided by the original length.
Therefore, Using the X-ray diffractograms you can determine the lattice parameters (a, C) and using the standard values of (a and C)