A set of equations for the macroscopic theory of nonlinear elastic semiconductors valid for large deformation and strong fields is derived which generalizes the seminal work of de Lorenzi and Tiersten by including the inertia of the electrons and holes. Thus, the equations obtained can describe charge-carrier plasma waves and their interactions with elastic waves as well as electromagnetic waves. The equations can also be used when the charge carriers are ions rather than electrons and holes. Another generalization in this paper is that the internal energy densities of the mobile charges are allowed to depend on temperature in addition to charge/mass densities. The equations of the electromagnetic fields in the paper are in SI units.
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