TY - EJOU AU - Yakhno, V.G. AU - Yaslan, H.Çerdik TI - Computation of the time-dependent Green's function of three dimensional elastodynamics in 3D quasicrystals T2 - Computer Modeling in Engineering \& Sciences PY - 2011 VL - 81 IS - 3&4 SN - 1526-1506 AB - 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. KW - Three-dimensional quasicrystals KW - equations of elastodynamics KW - Green's function KW - analytical method KW - simulation DO - 10.3970/cmes.2011.081.295