Abstract: An exact closed-form solution for the three-dimensional static deformation and free vibrational response of a simply supported and multilayered quasicrystal (QC) nanoplate with the nonlocal effect is derived. Numerical ...

Abstract: A threephase cylinder model (inclusion/matrix/composite) is proposed and analyzed for onedimensional (1D) piezoelectric quasicrystal composites. The exact closedform solutions of the stresses of the phonon and phason fields ...

Abstract: Layered structures in nature or created by humans are very common, and various numerical methods have been proposed to analyze them. In this paper, uniform surface loading over a transversely isotropic layered system with ...

Abstract: This study employs the Lur'e operator method to derive generalized solutions for orthorhombic quasicrystals, incorporating anisotropy factors as constraints. The solutions derived contain the Lekhnitskii–Hu–Nowacki and ...

Abstract: An exact closedform solution of free vibration of a simply supported and multilayered onedimensional (1D) quasicrystal (QC) plate is derived using the pseudoStroh formulation and propagator matrix method. Natural frequencies ...

Abstract: In this paper, acoustic vibration of hexagonal nanoparticles is investigated. In terms of the spherical system of vector functions, the first-order differential equation with constant coefficients for a layered sphere is ...