Methods and Applications of Analysis

Volume 11 (2004)

Number 3

Planar Travelling Waves in Incompressible Elastic Rods

Pages: 431 – 446



Stuart S. Antman

Gregory M. Crosswhite


This paper first describes the rich and intricate structure of the \ql\ hyperbolic \eq s governing the planar motions of \icp\ \nl ly \el\ rods. It then shows that under a variety of constitutive restrictions, these \eq s have periodic travelling-wave \sol s coupling longitudinal and transverse extension, flexure, and shear.

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