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Propagation of elastic waves

Published online by Cambridge University Press:  09 April 2009

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Abstract

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The behaviour of waves in elastic solids with linear stress strain curves is expressed, for plane strain, by a pair of simultaneous partial differential equations of hyperbolic type. Detailed behaviour of the waves is examined by solving these equations numerically.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1966

References

Bell, J. F., 1956, Journ. App. Physics, 27, 10.CrossRefGoogle Scholar
Bell, J. F., 1961a, b, J. Mech. Phys. Solids, 9, pp. 115, 261–278.CrossRefGoogle Scholar
Buckingham, R. A. 1957, Numerical Methods, Pitman, London.Google Scholar
Davies, R. M., 1948, Phil. Trans. Roy. Soc. London, A, 240, 375.Google Scholar
Love, A. E. H., 1931, Mathematical Theory of Elasticity, 4th Ed., C.U.P. Cambridge, p. 428.Google Scholar
Milne, E. W., 1949, Numerical Calculus, Princeton University Press, Princeton.CrossRefGoogle Scholar
Pack, D. C., Evans, W. M. and James, D. H., 1948, Proc. Phys. Soc., 61, 1.CrossRefGoogle Scholar
Shalak, R., 1957, J. App. Mech., 24, 59.Google Scholar
Sokolnikoff, I. S., 1946, Mathematical Theory of Elasticity, McGraw-Hill, New York.Google Scholar
Taylor, G. I. 1940, unpublished.Google Scholar