In classical photoelasticity of transparent isotropic materials, the Brewster law states that the difference in principal refraction index (birefringence) is propor- tional to the difference in principal stress. Here we show that such a relation can be generalized to anisotropic crystals only for the high-symmetry classes of the cubic group and for a specific plane stress, also for the high-symmetry classes of the trigonal, tetragonal, and hexagonal groups. No further generalizations are possible.
On the generalisation of the Brewster law / Davi', F.. - In: MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS. - ISSN 2325-3444. - ELETTRONICO. - 8:1(2020), pp. 29-46. [10.21407memocs.2020.8.29]
On the generalisation of the Brewster law
Davi' F.
2020-01-01
Abstract
In classical photoelasticity of transparent isotropic materials, the Brewster law states that the difference in principal refraction index (birefringence) is propor- tional to the difference in principal stress. Here we show that such a relation can be generalized to anisotropic crystals only for the high-symmetry classes of the cubic group and for a specific plane stress, also for the high-symmetry classes of the trigonal, tetragonal, and hexagonal groups. No further generalizations are possible.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
