Abstract
An existence and uniqueness theorem is proved for the first boundary value problem of classical elasticity, relating to a broad class of three-dimensional domains whose boundaries may have edges and vertexes.
The qualitative properties, up to the boundary, of the solution are investigated.
Résumé
On démontre un théorème d'existence et unicité pour le premier problème de valeurs au contour de l'élasticité classique, concernant une large classe de domaines de l'éspace à trois dimensions, avec des frontières présentant des arètes et des sommets.
On étudie les propriétés qualitatives, jusque'au contour, de la solution.
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Rizzonelli, P.C. On the first boundary value problem for the classical theory of elasticity in a three-dimensional domain with a singular boundary. J Elasticity 3, 225–259 (1973). https://doi.org/10.1007/BF00045740
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DOI: https://doi.org/10.1007/BF00045740