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Analysis of soft fibers with kinematic constraints and cross-links by finite deformation beam theory / Franck Vernerey in Journal of engineering mechanics, Vol. 137 N° 8 (Août 2011) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 137 N° 8 (Août 2011) . - pp.527-536 Titre : Analysis of soft fibers with kinematic constraints and cross-links by finite deformation beam theory Type de document : texte imprimé Auteurs : Franck Vernerey, Auteur ; Ronald Y. S. Pak, Auteur Année de publication : 2011 Article en page(s) : pp.527-536 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Flexible  fibers  Fibrous  networks  Beams  Structures  Cross-links  Large  deformation Résumé : This paper presents a hybrid analytical–computational mechanics formulation for an arbitrarily curved Timoshenko beam undergoing planar finite deformation and subjected to kinematic constraints in the form of fixed displacement and cross-linking. On the basis of an analytical reduction of the governing equations, the system reduced to a single nonlinear differential equation coupled with integral equations associated with translational constraints. An effective numerical formulation of the problem with general distributed and pointwise constraints is shown to be possible by using a simple finite-element procedure. To illustrate the efficiency and accuracy of the method, several examples are introduced to study both stable and bifurcation problems and a system of interacting fibers with different types of cross-link constraints. Because of the reduction of discretization error and the dimension of the matrix system, the proposed formulation is likely to be an attractive computational platform for modeling large-scale multifiber problems, as in fibrous microstructure simulations and other applications. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v137/i8/p527_s1?isAuthorized=no [article] Analysis of soft fibers with kinematic constraints and cross-links by finite deformation beam theory [texte imprimé] / Franck Vernerey, Auteur ; Ronald Y. S. Pak, Auteur . - 2011 . - pp.527-536. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 137 N° 8 (Août 2011) . - pp.527-536 Mots-clés : Flexible  fibers  Fibrous  networks  Beams  Structures  Cross-links  Large  deformation Résumé : This paper presents a hybrid analytical–computational mechanics formulation for an arbitrarily curved Timoshenko beam undergoing planar finite deformation and subjected to kinematic constraints in the form of fixed displacement and cross-linking. On the basis of an analytical reduction of the governing equations, the system reduced to a single nonlinear differential equation coupled with integral equations associated with translational constraints. An effective numerical formulation of the problem with general distributed and pointwise constraints is shown to be possible by using a simple finite-element procedure. To illustrate the efficiency and accuracy of the method, several examples are introduced to study both stable and bifurcation problems and a system of interacting fibers with different types of cross-link constraints. Because of the reduction of discretization error and the dimension of the matrix system, the proposed formulation is likely to be an attractive computational platform for modeling large-scale multifiber problems, as in fibrous microstructure simulations and other applications. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v137/i8/p527_s1?isAuthorized=no