The general solution of one-dimensional hexagonal quasicrystal |
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| Authors: | Xu Wang |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, PR China |
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| Abstract: | A general solution is given for three-dimensional dynamic problems in 1D hexagonal quasicrystalline material with Laue class 6/mhmm. In the general solution, the phonon and phason displacements and stresses are controlled by two displacement functions Ψ and F, which satisfy a second-order partial differential equation, and a sixth-order partial differential equation, respectively. The general solution for static equilibrium problems is treated as a special case. |
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| Keywords: | 1D hexagonal quasicrystal General solution Dynamic problem Displacement function |
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