the conditions $$\shearstrain\left(\pressurestrain=0\right)=1.7,1.8,...,2.5,\label{eq:specificcomp}$$ where we note that the curves associated with the values $2,2.2$ and $2.4$ will we used in the sequel. Similarly, each curve in panel (b) corresponds to one of the conditions $$\shearstrain\left(\pressurestrain=-0.4,-0.2,...,0.6\right)=0.\label{eq:specificcomp-1}$$ We observe that for quasi-pressure waves $\shearstrain$ is a monotonically increasing function of $\pressurestrain$, while for quasi-shear waves $\shearstrain$ is a monotonically decreasing function of $\pressurestrain$. *It is important to note that the solutions to Eq.$\ $ are independent of the initial mass density $\refden$*. This property will be useful when solving the main problem, where the initial mass density of the medium varies in space.

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*Main problem: laminated media*.—Having at hand the solutions of the differential equations which are associated with a homogeneous medium, we return to the main problem of the laminated media. Specifically, consider a laminate whose layers are governed by Eqs.$\ $-, have an equal thickness of $1\,$cm, and the initial mass density of phases $a$ and $b$ is $500\,\mathrm{kg/m^{3}}$ and $4000\,\mathrm{kg/m^{3}}$, respectively. We specifically seek solutions to the response of the laminate when subjected to non-uniform initial strains. The initial strains we consider are in the form of a sum of a uniform 