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Finite elements methods for thin shell problems / Michel Bernadou
Titre : Finite elements methods for thin shell problems Type de document : texte imprimé Auteurs : Michel Bernadou, Auteur ; Claude Andrew James, Traducteur Editeur : Chichester : J. Wiley and sons Année de publication : 1995 Autre Editeur : Masson Importance : XVI-360 p. Présentation : ill., couv. ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-471-95647-1 Prix : 300 F Note générale : Éditeur : Wiley–Blackwell; 1st English Language Ed édition (24 janvier 1996)
Langue : Anglais
Relié : 376 pages
ISBN-10 : 0471956473
ISBN-13 : 978-0471956471
Poids de l'article : 750 g
Dimensions : 16 x 2.5 x 25 cmLangues : Anglais (eng) Langues originales : Français (fre) Mots-clés : shell equations koiter's model element methods joint approximation of the geometry linear bucklingpotential energy elastic shell implementation shape optimisation functionals equation to program Index. décimale : 531 Résumé : This book emphasizes and analyzes all approximations to be applied to thin shell mechanics. The reliability and implementation of these methods are important in solving engineering problems when working with dams, turbine blades, shell junctions, buckling loads, and shape optimization.
Finite Element Methods for Thin Shell Problems Michel Bernadou Pôle Universitaire Léonard de Vinci, Paris La Défense, and INRIA–Rocquencourt, France This self–contained book provides a complete mathematical analysis of general thin shell equations and gives a representative set of numerical analysis results on thin shell problems by emphasizing their approximation and implementation. The main results of mathematical and numerical analysis related to the approximation of the solutions of thin shell problems by various finite element methods are presented. The different classical models of thin shells are considered, the existence and the uniqueness of solutions as well as the convergence of the different methods are studied. Beyond this theoretical analysis, the implementation and the use of these various finite element methods to solve engineering problems, such as arch dams, turbine blades, shell junctions, buckling loads and shape optimization, are carefully described.Note de contenu : Bibliogr. p. 317-328. Index Finite elements methods for thin shell problems [texte imprimé] / Michel Bernadou, Auteur ; Claude Andrew James, Traducteur . - Chichester : J. Wiley and sons : [S.l.] : Masson, 1995 . - XVI-360 p. : ill., couv. ill. ; 25 cm.
ISBN : 978-0-471-95647-1 : 300 F
Éditeur : Wiley–Blackwell; 1st English Language Ed édition (24 janvier 1996)
Langue : Anglais
Relié : 376 pages
ISBN-10 : 0471956473
ISBN-13 : 978-0471956471
Poids de l'article : 750 g
Dimensions : 16 x 2.5 x 25 cm
Langues : Anglais (eng) Langues originales : Français (fre)
Mots-clés : shell equations koiter's model element methods joint approximation of the geometry linear bucklingpotential energy elastic shell implementation shape optimisation functionals equation to program Index. décimale : 531 Résumé : This book emphasizes and analyzes all approximations to be applied to thin shell mechanics. The reliability and implementation of these methods are important in solving engineering problems when working with dams, turbine blades, shell junctions, buckling loads, and shape optimization.
Finite Element Methods for Thin Shell Problems Michel Bernadou Pôle Universitaire Léonard de Vinci, Paris La Défense, and INRIA–Rocquencourt, France This self–contained book provides a complete mathematical analysis of general thin shell equations and gives a representative set of numerical analysis results on thin shell problems by emphasizing their approximation and implementation. The main results of mathematical and numerical analysis related to the approximation of the solutions of thin shell problems by various finite element methods are presented. The different classical models of thin shells are considered, the existence and the uniqueness of solutions as well as the convergence of the different methods are studied. Beyond this theoretical analysis, the implementation and the use of these various finite element methods to solve engineering problems, such as arch dams, turbine blades, shell junctions, buckling loads and shape optimization, are carefully described.Note de contenu : Bibliogr. p. 317-328. Index Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité ST11291 531/98.1 Ouvrage Faculté des Sciences et de la Technologie 500 - Sciences de la nature et Mathématiques Exclu du prêt The Scaled boundary finite element method / John P. Wolf
Titre : The Scaled boundary finite element method Type de document : texte imprimé Auteurs : John P. Wolf (1938-....), Auteur Editeur : Wiley Année de publication : cop. 2003 Importance : xv-361 p Présentation : ill. Format : 26 cm ISBN/ISSN/EAN : 0-471-48682-5 Note générale : 378 pages
Editeur : Wiley-Blackwell (14 janvier 2003)
Langue : Anglais
ISBN-10 : 9780471486824
ISBN-13 : 978-0471486824
ASIN : 0471486825
Dimensions du produit : 17,3 x 2,7 x 25,2 cmLangues : Anglais (eng) Mots-clés : numericol analysis scalar wave équation single line finite statics mass of wedge stiffness implémentation solid dynamique deffusion extensions substructuring bounded média unbounded Index. décimale : 531 Résumé : A novel computational procedure called the scaled boundary finite–element method is described which combines the advantages of the finite–element and boundary–element methods : Of the finite–element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary–element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite–element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite–element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted–residual approximation of finite elements applies, leading to convergence in the finite–element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress–intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly.
In a nutshell, the scaled boundary finite–element method is a semi–analytical fundamental–solution–less boundary–element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite–element and boundary–element methods within the numerical procedures.
The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.Note de contenu : Bibliogr. p. 353-356. Index The Scaled boundary finite element method [texte imprimé] / John P. Wolf (1938-....), Auteur . - [S.l.] : Wiley, cop. 2003 . - xv-361 p : ill. ; 26 cm.
ISBN : 0-471-48682-5
378 pages
Editeur : Wiley-Blackwell (14 janvier 2003)
Langue : Anglais
ISBN-10 : 9780471486824
ISBN-13 : 978-0471486824
ASIN : 0471486825
Dimensions du produit : 17,3 x 2,7 x 25,2 cm
Langues : Anglais (eng)
Mots-clés : numericol analysis scalar wave équation single line finite statics mass of wedge stiffness implémentation solid dynamique deffusion extensions substructuring bounded média unbounded Index. décimale : 531 Résumé : A novel computational procedure called the scaled boundary finite–element method is described which combines the advantages of the finite–element and boundary–element methods : Of the finite–element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary–element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite–element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite–element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted–residual approximation of finite elements applies, leading to convergence in the finite–element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress–intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly.
In a nutshell, the scaled boundary finite–element method is a semi–analytical fundamental–solution–less boundary–element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite–element and boundary–element methods within the numerical procedures.
The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.Note de contenu : Bibliogr. p. 353-356. Index Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité ST2965 531/34.1 Ouvrage Faculté des Sciences et de la Technologie 500 - Sciences de la nature et Mathématiques Exclu du prêt