ON THE DISPLACEMENT BOUNDARY-VALUE PROBLEM FOR INEXTENSIBLE ELASTIC MATERIALS
- 1 August 1974
- journal article
- Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics
- Vol. 27 (3) , 287-297
- https://doi.org/10.1093/qjmam/27.3.287
Abstract
The displacement boundary-value problem is formulated for a linear elastic material subject to the internal constraint of inextensibility in a given direction. The usual prescription of boundary data has to be modified. Uniqueness theorems for homogeneous and inhomogeneous bodies are established. For the case of homogeneous isotropic and transversely isotropic inextensible materials, necessary and sufficient conditions for uniqueness of solution are derived. Corresponding results for elastodynamics are also outlined.Keywords
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