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Reflection of oblique shock waves in incompressible elastic solids

Published online by Cambridge University Press:  17 February 2009

B. Duszczyk
Affiliation:
Department of Mathematics, University of Papua, New Guinea.
S. Kosinski
Affiliation:
Institute of Civil Engineering I-32, Polytechnical University, Lodz, Poland.
Z. Wesolowski
Affiliation:
Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland.
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Abstract

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Using a semi-inverse method proposed by Wright the reflection of a finite elastic plane shock wave at a plane boundary of a special elastic incompressible material is examined. Three types of boundary conditions are considered. In the case of frictionless-rigid boundary the reflected wave is a single simple wave. For clamped boundary the solution indicates a possibility of irregular reflection as well. There is no reflection solution in the case of a free boundary.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1985

References

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