Abstract
By the term ‘acceleration wave’ is meant an isolated geometric surface that moves relative to the material and across which the acceleration (but not the velocity) is discontinuous. The class of materials considered is characterized by a homogeneous linear tensor relation between stress-rate and strain-rate, arbitrary except for a symmetry restriction on the coefficients. A general matrix equation is obtained for the possible wave speeds and polarizations (with modifications when the material is incompressible). Calculations are carried out in detail for a wide range of elastic/plastic solids. Other topics include stationary discontinuities; the relation with vibration analysis; a physical interpretation for the matrix equation; and connexions between the theories of waves, stability, and uniqueness.
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