Geodesic
Solving elastodynamic problems of 2D quasicrystals in inhomogeneous media
Applications of Mathematics, Tome 69 (2024) no. 3, pp. 289-309 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Initial value problem for three dimensional (3D) elastodynamic system in two dimensional (2D) inhomogeneous quasicrystals is considered. An analytical method is studied for the solution of this problem. The system is written in terms of Fourier images of displacements with respect to lateral variables. The resulting problem is reduced to integral equations of the Volterra type. Finally, using Paley Wiener theorem it is shown that the solution of the initial value problem can be found by the inverse Fourier transform. A numerical example is considered for the comparison of the exact solution with the computed solution obtained by using the method.
Initial value problem for three dimensional (3D) elastodynamic system in two dimensional (2D) inhomogeneous quasicrystals is considered. An analytical method is studied for the solution of this problem. The system is written in terms of Fourier images of displacements with respect to lateral variables. The resulting problem is reduced to integral equations of the Volterra type. Finally, using Paley Wiener theorem it is shown that the solution of the initial value problem can be found by the inverse Fourier transform. A numerical example is considered for the comparison of the exact solution with the computed solution obtained by using the method.
DOI : 10.21136/AM.2024.0045-23
Classification : 35L52, 35Q86
Keywords: 2D quasicrystals; inhomogeneous media; elastodynamic system 
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Altunkaynak, Meltem. Solving elastodynamic problems of 2D quasicrystals in inhomogeneous media. Applications of Mathematics, Tome 69 (2024) no. 3, pp. 289-309. doi: 10.21136/AM.2024.0045-23

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