On uniqueness for the traction problem in finite elasticity |
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Authors: | Scott J. Spector |
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Affiliation: | (1) Department of Mathematics, University of Tennessee, 37916 Knoxville, Tennessee, U.S.A.;(2) Present address: Department of Mathematics, Southern Illinois University at Carbondale, 62901 Carbondale, IL, U.S.A. |
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Abstract: | In many problems of interest the (Cauchy) surface traction is given as a function of position on the deformed surface. A class of loadings sufficiently general to include these problems is considered, and within the context of the fraction problem in finite elasticity, a number of uniqueness results are established. This work extends results obtained for the mixed problem by Gurtin and Spector.
Resumé Dans plusieurs proble`mes interessants la traction surfacique de Cauchy est donnée comme une fonction de la position dans la surface deformée. Une telle classe des charges, suffisamment gé erale, est considerée et un nombre des résultats d'unicité est établit dans le cadre du probleme de traction de l'elasticité non linéaire. Cet ouure prolonge des résultats pour le proble`me mixte obtenus par Gurtin et Spector. |
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