$b$, respectively. The corresponding states are denoted in the $\left(\shearstrain,\pressurestrain\right)$ plane by disc (phase $a$) and diamond (phase $b$) markers.

In addition to the results from the full-wave simulations, we also present in Fig.$\ $\[fig:Characterization\](a) the solutions of Eq.$\ $ for different compatibility conditions , as previously depicted in Fig.$\ $\[fig:integralCurves\]. While these solutions are not associated with a concrete problem, they capture the way in which $\shearstrain$ and $\pressurestrain$ evolve during the propagation of smooth waves which spread in a uniformly pre-strained homogeneous Gent half-space. We specifically present using black curves the solutions to compatibility conditions that agree with the uniform part of the initial strain in the laminate ($\amp{\pressurestrain}=\amp{\shearstrain}=0$), namely, $$\shearstrain\left(\pressurestrain=0\right)=\initial{\shearstrain},\quad\initial{\shearstrain}=2,2.2,2.4.\label{eq:initial conditions}$$ We observe that the results extracted from the full-wave simulations of the laminate either coincide or fall very close to the curves that are associated with the impact response of the homogeneous medium. Specifically, we observe that the results for layers made of phase $a$ coincide with these curves for all values of $\initial{\shearstrain}$. We find it remarkable that these two seemingly unrelated problems are related in this way. This agreement between the full-wave simulations and the solution of Eq.$\ $ indicates that the analysis of 