Plane Infinitesimal Waves in Elastic Sheets with Bending Stiffness
Abstract
Plane infinitesimal wave propagation is examined in elastic sheets whose strain energy depends on both the first and second derivatives of the deformation. The resulting acoustic-tensor analysis produces dynamical-stability conditions. These are compared to material-stability conditions found previously using equilibrium considerations. A particular solution is demonstrated for the special case of wave propagation in an isotropic elastic sheet subjected to an underlying uniform homogeneous deformation.
Recommended Citation
Hilgers, M. G. (1997). Plane Infinitesimal Waves in Elastic Sheets with Bending Stiffness. Mathematics and Mechanics of Solids, 2(1), pp. 75-89. SAGE Publications.
The definitive version is available at https://doi.org/10.1177/108128659700200105
Department(s)
Business and Information Technology
International Standard Serial Number (ISSN)
1081-2865
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 SAGE Publications, All rights reserved.
Publication Date
01 Jan 1997
