Implications Of Hadamard's Conditions For Elastic Stability With Respect To Uniqueness Theorems
- 1 January 1956
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 8, 432-436
- https://doi.org/10.4153/cjm-1956-051-2
Abstract
Introduction. The purpose of this paper is to discuss implications of Hadamard's condition for elastic stability (2, §269) with respect to uniqueness of solutions of boundary value problems in the theory of small deformations superimposed on large. We show that a slightly refined form of his condition implies a uniqueness theorem for displacement boundary value problems. We construct a counter-example showing that his condition does not imply uniqueness of solutions for one type of stress boundary value problem.Keywords
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- General theory of small elastic deformations superposed on finite elastic deformationsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1952
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