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Computation of the time-dependent Green's function of three dimensional elastodynamics in 3D quasicrystals

V.G. Yakhno1, H.Çerdik Yaslan2
Electrical and Electronics Engineering Department, Dokuz Eylul University, Izmir, Turkey
Department of Mathematics, Pamukkale University, Denizli, Turkey

Computer Modeling in Engineering & Sciences 2011, 81(3&4), 295-310. https://doi.org/10.3970/cmes.2011.081.295

Abstract

The time-dependent differential equations of elasticity for 3D quasicrystals are considered in the paper. These equations are written in the form of a vector partial differential equation of the second order with symmetric matrix coefficients. The Green's function is defined for this vector partial differential equation. A new method of the numerical computation of values of the Green's function is proposed. This method is based on the Fourier transformation and some matrix computations. Computational experiments confirm the robustness of our method for the computation of the time-dependent Green's function in icosahedral quasicrystals.

Keywords

Three-dimensional quasicrystals, equations of elastodynamics, Green's function, analytical method, simulation

Cite This Article

Yakhno, V., Yaslan, H. (2011). Computation of the time-dependent Green's function of three dimensional elastodynamics in 3D quasicrystals. CMES-Computer Modeling in Engineering & Sciences, 81(3&4), 295–310.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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