Abstract
Linear continuous inhomogeneous strains (LCISs) are considered in decagonal and octagonal quasicrystalline lattices. At such strains, the magnitudes of position displacements are proportional to the strain value and the flip-flops of positions are absent. All possible variants of the spontaneous lowering of a quasicrystalline symmetry due to the appearance of such strains are enumerated. A possibility of the LCIS to be induced by the linear homogeneous field of mechanical stresses is shown. Manifestations of LCISs in reciprocal space are discussed.
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