Abstract
The nonlocal effect on functionally graded multilayered quasicrystal nanoplates is investigated. The functionally graded quasicrystal is assumed to be exponentially distributed along the thickness direction of the simply supported nanoplates. The exact solution for functionally graded multilayered two-dimensional quasicrystal nanoplates subjected to a patch loading on their top surfaces is derived using the extended nonlocal elastic theory, pseudo-Stroh formalism, and propagator matrix method. The patch loading is indicated by the form of a double Fourier series expansion. Numerical examples are presented to reveal the influences of patch size, nonlocal parameter, and stacking sequence on the phonon, phason, and electric fields.
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Li, Y., Yang, L., Zhang, L. et al. Size-dependent effect on functionally graded multilayered two-dimensional quasicrystal nanoplates under patch/uniform loading. Acta Mech 229, 3501–3515 (2018). https://doi.org/10.1007/s00707-018-2177-4
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DOI: https://doi.org/10.1007/s00707-018-2177-4