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Positive-definite conditions of elastic constants of two-dimensional quasicrystals with noncrystallographic symmetries.

In the present work, the positive-definite conditions of the elastic constants of two-dimensional (2D) quasicrystals with non-crystallographic symmetries have been derived. These results are necessary for studying elastic and mechanical properties of two-dimensional quasicrystals both in theory and in experiment. Project supported by the National Natural Science Foundation of China.