Pol Grasland-Mongrain edited The_absorption_of_the_laser__.tex  over 8 years ago

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\end{equation}  where (r,$\theta$) are the coordinates of the considered point with regards to the force location and direction, $c_p$ and $c_s$ the compression and shear wave speed respectively, $\tau$ the time and $\delta$ Dirac distributions. The three terms correspond respectively to the far-field compression wave, the far-field shear wave and the near-field component.  Using $\rho$ = 1000 kg.m$^{-3}$, $c_p$ = 1500 m.s$^{-1}$ and $c_s$ = 5.5 m.s$^{-1}$, results are illustrated in  Figure \ref{figGreen}-(A) which  representsresulting  displacement maps along Z axis, 1.0, 1.5, 2.0, 2.5 and 3.0 ms after force application, using $\rho$ = 1000 kg.m$^{-3}$, $c_p$ = 1500 m.s$^{-1}$ and $c_s$ = 5.5 m.s$^{-1}$. application.  The normalized displacement maps present many similarities with the experimental results in the Figure \ref{figElastoPVA}-(A), with a initial central displacement directed outside the medium and the propagation of three half cycles.