PLANE INFINITESIMAL WAVES IN ELASTIC SHEETS WITH BENDING STIFFNESS

Authors
Citation
Mg. Hilgers, PLANE INFINITESIMAL WAVES IN ELASTIC SHEETS WITH BENDING STIFFNESS, Mathematics and mechanics of solids, 2(1), 1997, pp. 75-89
Citations number
7
Categorie Soggetti
Mathematics,Mathematics,Mechanics,"Material Science","Engineering, Mechanical
ISSN journal
10812865
Volume
2
Issue
1
Year of publication
1997
Pages
75 - 89
Database
ISI
SICI code
1081-2865(1997)2:1<75:PIWIES>2.0.ZU;2-Q
Abstract
Plane infinitesimal wave propagation is examined in elastic sheets who se strain energy depends on both the first and second derivatives of t he deformation. The resulting acoustic-tenser analysis produces dynami cal-stability conditions. These are compared to material-stability con ditions found previously using equilibrium considerations. A particula r solution is demonstrated for the special case of wave propagation in an isotropic elastic sheet subjected to an underlying uniform homogen eous deformation.