Solving elastodynamic problems of 2D quasicrystals in inhomogeneous media

ALTUNKAYNAK M.

Applications of Mathematics, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.21136/am.2024.0045-23
  • Dergi Adı: Applications of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, ABI/INFORM, Compendex, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: 2D quasicrystals, 35L52, 35Q86, elastodynamic system, inhomogeneous media
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.