Article
Energy-Minimal Finite Deformations of a Symmetrically Loaded Elastic Sheet
Quarterly Journal of Mechanics & Applied Mathematics
Abstract
We study the homogeneous finite deformations of a rectangular sheet of a Mooney–Rivlin material subjected to equal tensile dead loads. We prove the existence of (at least one) homogeneous equilibrium which minimizes the potential energy of the system, and we determine the class of homogeneous minimizers for each value of the applied tension. In the process, we identify a critical value of a material parameter (the ratio of the Mooney–Rivlin constants) at which the qualitative nature of the solution class undergoes a change.
Department(s)
Mechanical and Aerospace Engineering
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 1984 Oxford University Press, All rights reserved.
Publication Date
1-1-1984
Publication Date
01 Jan 1984
Disciplines
Citation Information
G. P. MacSithigh. "Energy-Minimal Finite Deformations of a Symmetrically Loaded Elastic Sheet" Quarterly Journal of Mechanics & Applied Mathematics (1984) Available at: http://works.bepress.com/g-macsithigh/11/