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Patching asymptotics solution of a cable with a small bending stiffness / Vincent Denoël in Journal of structural engineering, Vol. 139 N° 2 (Février 2013) 

Public ISBD [article]  in Journal of structural engineering > Vol. 139 N° 2 (Février 2013) . - pp. 180–187 Titre : Patching asymptotics solution of a cable with a small bending stiffness Type de document : texte imprimé Auteurs : Vincent Denoël, Auteur ; Thomas Canor, Auteur Année de publication : 2013 Article en page(s) : pp. 180–187 Note générale : structural engineering Langues : Anglais (eng) Mots-clés : boundary  layers;  bending;  stiffness;  elasticity;  cables Résumé : The analysis of a cable with a small bending stiffness is a problem encountered in many engineering applications such as the fatigue assessment of stay cables, the modeling of pipeline laying operation, or the determination of bending stresses in drillpipe assemblies. Because this phenomenon is modeled by a singularly perturbed equation, standard numerical techniques fail to solve these problems efficiently. As an alternative, provided the complexity of the analytical developments does not preclude their application, these problems may be tackled with appealing analytical procedures such as matching asymptotics or multiple scales. Otherwise, advanced numerical simulations combining patching asymptotics within a numerical framework are the only possible approach for problems where the governing equations are too complex. Patching asymptotics also feature a number of merits such as the possibility of using a boundary layer with a finite extent. Aiming at a better understanding of this latter technique, the purpose of this paper was to determine the solution of a cable with a small bending stiffness. Interesting details about patchability conditions and about how to restore higher derivative continuity are included. The accuracy of the patching asymptotics approach is also compared with that of matched asymptotics. En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29ST.1943-541X.0000643 [article] Patching asymptotics solution of a cable with a small bending stiffness [texte imprimé] / Vincent Denoël, Auteur ; Thomas Canor, Auteur . - 2013 . - pp. 180–187. structural engineering Langues : Anglais (eng) in Journal of structural engineering > Vol. 139 N° 2 (Février 2013) . - pp. 180–187 Mots-clés : boundary  layers;  bending;  stiffness;  elasticity;  cables Résumé : The analysis of a cable with a small bending stiffness is a problem encountered in many engineering applications such as the fatigue assessment of stay cables, the modeling of pipeline laying operation, or the determination of bending stresses in drillpipe assemblies. Because this phenomenon is modeled by a singularly perturbed equation, standard numerical techniques fail to solve these problems efficiently. As an alternative, provided the complexity of the analytical developments does not preclude their application, these problems may be tackled with appealing analytical procedures such as matching asymptotics or multiple scales. Otherwise, advanced numerical simulations combining patching asymptotics within a numerical framework are the only possible approach for problems where the governing equations are too complex. Patching asymptotics also feature a number of merits such as the possibility of using a boundary layer with a finite extent. Aiming at a better understanding of this latter technique, the purpose of this paper was to determine the solution of a cable with a small bending stiffness. Interesting details about patchability conditions and about how to restore higher derivative continuity are included. The accuracy of the patching asymptotics approach is also compared with that of matched asymptotics. En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29ST.1943-541X.0000643