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19.—Propagation of Weak Discontinuities in a Layered Hyperelastic Half-space

Published online by Cambridge University Press:  14 February 2012

Erdogan S. Suhubi  and
Alan Jeffrey
Erdogan S. Suhubi
Affiliation:
Department of Engineering Mathematics, University of Newcastle upon Tyne
Alan Jeffrey
Affiliation:
Department of Engineering Mathematics, University of Newcastle upon Tyne
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Synopsis

This paper investigates the one-dimensional propagation of weak discontinuities, that is acceleration waves, in a homogeneous and isotropic half-space composed of an arbitrary number of non-linearly hyperelastic layers. The transmission and reflection coefficients are evaluated in terms of the initial condition at the boundary, and the steepening of the waves to form a shock is discussed. The results are specialised to the case of periodic layering.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 75 , Issue 3 , 1976 , pp. 209 - 221
Copyright
Copyright © Royal Society of Edinburgh 1976

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References

REFERENCES

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