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Photoelasticity in quasicrystals
Authors:K Rama Mohana Rao  P Hemagiri Rao
Institution:(1) Department of Applied Mathematics, Andhra University Post-Graduate Centre, 521 201 Nuzvid, India;(2) Department of Mathematics, Bapatla Engineering College, 522 101 Bapatla, India
Abstract:The maximum number of non-vanishing and independent second order photoelastic coefficients required by the seven pentagonal and the two icosahedral point groups 5(C5), 
$$\bar 5$$
(S10), 
$$\overline {10} $$
(C5h ), 
$$\overline {10} $$
m2(D5h ), 52(D5), 5m(C5v ), 
$$\bar 5$$
2m(D5d ); 235(I), 2/m 
$$\bar 3$$

$$\bar 5$$
(I h )—that describe the quasicrystals symmetry groups in two and three dimensions—is obtained. The schemes of non-vanishing and independent coefficients have been calculated and listed. Finally the results of this group-theoretical study are briefly discussed.
Keywords:Quasicrystals  pentagonal and icosahedral point groups  photoelasticity  non-vanishing and independent tensor coefficients
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