Alternative spatial growth and decay for constrained motion in an elastic cylinder

R. J. Knops, L. E. Payne

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Alternative spatial growth and decay behavior is established for the motion of a (semi-infinite) cylinder composed of a nonhomogeneous anisotropic linear elastic material and subject to zero body force and zero lateral boundary conditions. The motion, induced by displacement prescribed on the base, is constrained to have the displacement and velocity at a given time proportional to the respective initial values. Neither initial data nor the asymptotic behavior at large axial distance are specified. A differential inequality is derived for certain time integrals of the cross-sectional energy flux and integration leads to estimates that either exponentially grow or decay. Decay estimates are also obtained for the cross-sectional measures of strain energy, strain, displacement and its gradient, while explicit bounds in terms of the data are constructed for the amplitude in each decay estimate. © 2005 Sage Publications.

Original languageEnglish
Pages (from-to)281-310
Number of pages30
JournalMathematics and Mechanics of Solids
Volume10
Issue number3
DOIs
Publication statusPublished - Jun 2005

Keywords

  • Constrained motion
  • Cylinder
  • Linear elastodynamics
  • Spatial evolution

Fingerprint Dive into the research topics of 'Alternative spatial growth and decay for constrained motion in an elastic cylinder'. Together they form a unique fingerprint.

  • Cite this