Elastic theory of 1D-quasiperiodic stacking of 2D crystals

A general solution of the elastic fields in 1D hexagonal quasicrystals with point groups 6mm, 62(h)2(h), (6) over bar m2(h) and 6/m(h)mm is given in t erms of four 'harmonic' functions F-i (i = 1, 2, 3, 4). Then we consider th e problem of a circular crack embedded in an infinite ID hexagonal quasicry stal of point group 6mm. The results obtained in this paper automatically r educe to those in the classical elasticity theory when the phason held is a bsent.