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Reflection of Weak Shock Waves in Elastic Solids,
BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD
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The general theory of shock reflections in simple elastic materials leads to a set of implicit functions, obtained from boundary conditions, that must be satisfied identically by the amplitude parameters of the incident and reflected waves. In principal, inversion of the boundary conditions leads to expressions for the reflection parameters as functions of the incident parameter. In practice, even numerical inversion appears to be a formidable task, and complete analytical inversion is generally impossible. For weak shocks, the reflections may be computed in powers of the incident amplitude. A formal scheme for solution of the weak shock case is developed in the report. Modified author abstract
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