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The Quarterly Journal of Mechanics and Applied Mathematics 1995 48(1):123-134; doi:10.1093/qjmam/48.1.123
© 1995 by Oxford University Press
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THE VISCOELASTIC WAVE PRODUCED BY RETRACTION OF A STRETCHED REGION

A. C. PIPKIN

( Division of Applied Mathematics, Brown University Providence, Rhode Island 02912, USA )

A relatively short segment at one end of a stretched string of viscoelastic material is stretched by an additional amount and then released. A loading wave propagates into the less-stretched region, followed by an unloading wave reflected from the end of the string. The problem is analysed by using linear viscoelasticity theory, specialized to the case of a power-law modulus. The results differ from Kolsky's tensile-shock observations, which seem to show a very high speed for the unloading wave. A possible reason for the discrepancy is suggested.


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