Abstract
As has been shown in Chap. 5, in one-dimensional quasicrystals, elasticity can be decomposed into plane elasticity and anti-plane elasticity in case that the configuration is independent of the quasiperiodic axis. In this case, plane elasticity is a classical elasticity problem and its solutions are well known, whereas the anti-plane elasticity is a problem concerned with the quasiperiodic structure, which is our main concern. This decomposition leads to great simplifications for the solution.
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Fan, TY. (2016). Elasticity of Two-Dimensional Quasicrystals and Simplification. In: Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Springer Series in Materials Science, vol 246. Springer, Singapore. https://doi.org/10.1007/978-981-10-1984-5_6
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DOI: https://doi.org/10.1007/978-981-10-1984-5_6
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