Abstract
Plane dynamic problems for elastic incompressible bodies with initial stresses are considered when the original dynamic problems admit reduction to steady state problems in a system of coordinates in rectilinear motion at constant velocity. The investigation is carried out using relations of the linearized theory of elasticity. Complex potentials are introduced for equal and unequal roots of the controlling equation with potentials of arbitrary form. A method of obtaining exact solutions using complex potentials is indicated in the case of bodies with initial stresses. Values of complex parameters are presented for bodies with elastic potential of specific form. A number of similar results was obtained in /1/ for compressible bodies with initial stresses.
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