Singular Reflection and Refraction of Elastic Waves Due to Separation

Abstract

The effect of separation on the reflection and refraction of elastic waves by a unilateral interface was investigated before. It was found that no bounded solutions exist in a certain range of angles of incidence and combinations of materials. The present paper investigates singular solutions. It is shown that three different solutions satisfying all required inequalities can be found depending on the choice of the singularities. It is reasoned that singularities can be admitted only at the trailing edges of the separation zones. This makes the solution unique, and the singularities are weaker than inverse square root.