TY - EJOU
AU - Yakhno, V.G.
AU - Yaslan, H.Ã‡erdik
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