The growth of plane discontinuities propagating into a homogeneously deformed elastic material
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It is shown that, in general, plane acceleration discontinuities propagating into an isotropic elastic material in a state of homogeneous deformation either become infinite in a finite time or decay to zero in an infinite time. Exceptions to this result are transverse discontinuities which propagate along a principal axis of strain without change in strength. Conditions governing the growth of acceleration discontinuities travelling into undeformed material are found to be identical with the thermodynamic conditions derived by Bland  for shock propagation. Plane discontinuities of order higher than the second are shown to propagate with constant strength.
KeywordsNeural Network Complex System Nonlinear Dynamics Principal Axis Electromagnetism
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