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 finite elasticity a number of uniqueness results are established. A key ingredient is the result of Gurtin and Spector that uniqueness holds in any convex, stable set of deformations.
Résumé
Dans plusieurs problémes interessants la traction surfacique de Cauchy est donnée comme une fonction de la position dans la surface deformée. Une telle classe des charges, suffisamment générale, est considerée et un nombre des résultats d'unicité et établit dans le cadre d'élasticité non linéaire. Le résultat de Gurtin et Spector (unicité est valable sur un ensemble stable et convexe queleonque des déformations) est utilisé.
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Spector, S.J. On uniqueness in finite elasticity with general loading. J Elasticity 10, 145–161 (1980). https://doi.org/10.1007/BF00044500
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DOI: https://doi.org/10.1007/BF00044500