Xf. Li et Ty. Fan, NEW METHOD FOR SOLVING ELASTICITY PROBLEMS OF SOME PLANAR QUASI-CRYSTALS AND SOLUTIONS, Chinese Physics Letters, 15(4), 1998, pp. 278-280
A new method for solving elasticity problems of some planar quasicryst
als is presented. The set of partial differential equations for the ph
onon and phason displacement components is reduced to a single higher-
order equation by introducing a displacement function. A general solut
ion formulation is suggested. As an example, the elastic held caused b
y a dislocation in planar quasicrystals of point Groups 5 m, 10, and 1
0 mm is calculated.