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Methode Des Elements Finis
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Book Synopsis Méthodes mathématiques et numériques pour les équations aux dérivées partielles by : CHASKALOVIC Joël
Download or read book Méthodes mathématiques et numériques pour les équations aux dérivées partielles written by CHASKALOVIC Joël and published by Lavoisier. This book was released on 2013-01-21 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Qu’il s’agisse d’applications en physique ou en mécanique, en médecine ou en biologie, mais aussi en économie, dans les médias et en marketing, ou encore dans le domaine des finances, la traduction phénoménologique du système étudié conduit très souvent à la résolution d’équations différentielles ou aux dérivées partielles. Incontestablement, ce sont les éléments finis qui ont bouleversé le monde de l’approximation numérique des équations aux dérivées partielles. Cet ouvrage est composé de deux parties : la première est un abrégé de cours portant sur les outils de base de l’analyse mathématique des équations aux dérivées partielles et la seconde contient des problèmes corrigés qui abordent l’approximation par éléments finis des formulations variationnelles des problèmes aux limites elliptiques. Des applications en mécanique des solides déformables, à la résistance des matériaux, en mécanique des fluides et en thermique ainsi que quelques problèmes non linéaires y sont présentés.Cet ouvrage s'adresse aux étudiants en sciences et techniques de l'ingénieur des universités et des grandes écoles.
Author :Jean Claude Sabonnadiere Publisher :Springer Science & Business Media ISBN 13 :1468487396 Total Pages :194 pages Book Rating :4.4/5 (684 download)
Book Synopsis Finite Element Methods in CAD by : Jean Claude Sabonnadiere
Download or read book Finite Element Methods in CAD written by Jean Claude Sabonnadiere and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method (FEM) has been understood, at least in principle, for more than 50 years. The integral formulation on which it is based has been known for a longer time (thanks to the work of Galerkin, Ritz, Courant and Hilbert,1.4 to mention the most important). However, the method could not be applied in a practical way since it involved the solution of a large number of linear or non-linear algebraic equations. Today it is quite common, with the aid of computers, to solve non-linear algebraic problems of several thousand equations. The necessary numerical methods and programming techniques are now an integral part of the teaching curriculum in most engineering schools. Mechanical engineers, confronted with very complicated structural problems, were the first to take advantage of advanced computational methods and high level languages (FORTRAN) to transform the mechanical models into algebraic equations (1956). In recent times (1960), the FEM has been studied by applied mathematicians and, having received rigorous treatment, has become a part of the more general study of partial differential equations, gradually replacing the finite difference method which had been considered the universal tool to solve these types of problems.
Book Synopsis Geotechnical Engineering Education and Training by : I Antonescu
Download or read book Geotechnical Engineering Education and Training written by I Antonescu and published by CRC Press. This book was released on 2020-09-10 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers and reports from the Conference held in Romania, June 2000. The book covers many topics, for example, place, role and content of geotechnical engineering in civil, environmental and earthquake engineering.
Book Synopsis The Finite Element Method for Elliptic Problems by : P.G. Ciarlet
Download or read book The Finite Element Method for Elliptic Problems written by P.G. Ciarlet and published by Elsevier. This book was released on 1978-01-01 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author’s experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6. On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on “Additional Bibliography and Comments should provide many suggestions for conducting seminars.
Book Synopsis The Finite Element Method for Elliptic Problems by : Philippe G. Ciarlet
Download or read book The Finite Element Method for Elliptic Problems written by Philippe G. Ciarlet and published by SIAM. This book was released on 2002-01-01 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method for Elliptic Problems is the only book available that analyzes in depth the mathematical foundations of the finite element method. It is a valuable reference and introduction to current research on the numerical analysis of the finite element method, as well as a working textbook for graduate courses in numerical analysis. It includes many useful figures, and there are many exercises of varying difficulty. Although nearly 25 years have passed since this book was first published, the majority of its content remains up-to-date. Chapters 1 through 6, which cover the basic error estimates for elliptic problems, are still the best available sources for material on this topic. The material covered in Chapters 7 and 8, however, has undergone considerable progress in terms of new applications of the finite element method; therefore, the author provides, in the Preface to the Classics Edition, a bibliography of recent texts that complement the classic material in these chapters. Audience: this book is particularly useful to graduate students, researchers, and engineers using finite element methods. The reader should have knowledge of analysis and functional analysis, particularly Hilbert spaces, Sobolev spaces, and differential calculus in normed vector spaces. Other than these basics, the book is mathematically self-contained.
Book Synopsis The Finite Element Method for Electromagnetic Modeling by : Gérard Meunier
Download or read book The Finite Element Method for Electromagnetic Modeling written by Gérard Meunier and published by John Wiley & Sons. This book was released on 2010-01-05 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by specialists of modeling in electromagnetism, this book provides a comprehensive review of the finite element method for low frequency applications. Fundamentals of the method as well as new advances in the field are described in detail. Chapters 1 to 4 present general 2D and 3D static and dynamic formulations by the use of scalar and vector unknowns and adapted interpolations for the fields (nodal, edge, face or volume). Chapter 5 is dedicated to the presentation of different macroscopic behavior laws of materials and their implementation in a finite element context: anisotropy and hysteretic properties for magnetic sheets, iron losses, non-linear permanent magnets and superconductors. More specific formulations are then proposed: the modeling of thin regions when finite elements become misfit (Chapter 6), infinite domains by using geometrical transformations (Chapter 7), the coupling of 2D and 3D formulations with circuit equations (Chapter 8), taking into account the movement, particularly in the presence of Eddy currents (Chapter 9) and an original approach for the treatment of geometrical symmetries when the sources are not symmetric (Chapter 10). Chapters 11 to 13 are devoted to coupled problems: magneto-thermal coupling for induction heating, magneto-mechanical coupling by introducing the notion of strong and weak coupling and magneto-hydrodynamical coupling focusing on electromagnetic instabilities in fluid conductors. Chapter 14 presents different meshing methods in the context of electromagnetism (presence of air) and introduces self-adaptive mesh refinement procedures. Optimization techniques are then covered in Chapter 15, with the adaptation of deterministic and probabilistic methods to the numerical finite element environment. Chapter 16 presents a variational approach of electromagnetism, showing how Maxwell equations are derived from thermodynamic principles.
Book Synopsis Mathematical Aspects of Finite Element Methods by : I. Galligani
Download or read book Mathematical Aspects of Finite Element Methods written by I. Galligani and published by Springer. This book was released on 2006-11-15 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modélisation et simulation numériques en formage virtuel by : SAANOUNI Khemais
Download or read book Modélisation et simulation numériques en formage virtuel written by SAANOUNI Khemais and published by Lavoisier. This book was released on 2012-04-16 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage fait le point sur les méthodes actuelles les plus performantes pour modéliser, simuler et optimiser les procédés de mise en forme des structures minces et massives et d'en donner les tendances des nouvelles méthodes innovantes actuellement en cours de développement et qui feront à n'en pas douter les "outils" industriels de demain dans le domaine du formage virtuel. Par rapport aux ouvrages récents dédiés aux méthodes numériques en mise en forme, le principal apport de ce livre se trouve rassemblé au deuxième chapitre qui concerne le développement des modèles de comportement multiphysiques à fortes capacités prédictives, utilisables dans les codes de calcul des structures pour simuler et optimiser tous types de procédés de mise en forme par grandes déformations irréversibles de structures métalliques minces et/ou massives et leur "optimisation" vis-à-vis de l'avènement de l'endommagement ductile.
Book Synopsis Applied Geotechnics for Construction Projects, Volume 1 by : Ammar Dhouib
Download or read book Applied Geotechnics for Construction Projects, Volume 1 written by Ammar Dhouib and published by John Wiley & Sons. This book was released on 2023-01-19 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Berichte written by and published by CRC Press. This book was released on 1991 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Slope Engineering by : Ali Ismet Kanlı
Download or read book Slope Engineering written by Ali Ismet Kanlı and published by BoD – Books on Demand. This book was released on 2021-03-17 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of slope engineering encompasses slope stability analysis and design, movement monitoring, and slope safety management and maintenance. Engineers in this field are concerned with landslides and other gravity-stimulated mass movements. Their job is to frequently evaluate existing and proposed slopes to assess their stability. As such, this book provides information on remote sensing in landslide detection, tunnel face stability, stability analysis and maintenance of cut slopes, design techniques in rock and soil engineering, statistical models for landslide risk mapping, slope stability analysis in open-pit mines, ecological engineering for slope stabilization, and asphalt-stabilized strengthening in open-pit coal mining.
Book Synopsis Élasticité et plasticité by : FRANÇOIS
Download or read book Élasticité et plasticité written by FRANÇOIS and published by Lavoisier. This book was released on 2009-04-08 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Les avancées techniques requièrent une excellente maîtrise des matériaux utilisés. Le défi est de mieux comprendre leur comportement mécanique et plus particulièrement les relations entre leurs micro-structures et leurs propriétés à l'échelle macroscopique. Cet ouvrage apporte les éléments pour relever ce défi. Partant des mécanismes de déformation, il remonte aux lois de comportement macroscopique en cherchant à établir des relations quantitatives, en tout cas à révéler les phénomènes physiques qui sous-tendent les comportements rhéologiques. Les auteurs ont inclus les développements les plus récents, notamment sur les matériaux hétérogènes (alliages métalliques, polymères, composites). Chacun des chapitres est consacré à une grande classe de comportement : élastique puis plastique dans ce premier volume , comportement viscoélastique, comportement viscoplastique, endommagements, dans le second volume (on y trouvera en outre des notions de mécanique de la rupture et de mécanique du contact). Les outils de base (mécanique des milieux continus, cristallographie, changements de phase) sont décrits en annexes. On trouvera également, de nombreux exercices en fin de chapitres, pour la bonne compréhension des sujets traités. Une illustration abondante facilite la lecture de l'ouvrage. Comportement mécanique des matériaux est le fruit du DEA "Mécanique et Matériaux" de la région parisienne. Il s'adresse aussi aux élèves-ingénieurs, ingénieurs et chercheurs. Les développements mathématiques y sont d'un accès facile. Les réelles difficultés, dont la maîtrise n'est pas exempte d'aspects passionnants, résident dans les fréquents changements d'échelle et dans le sens physique auquel il est fait appel.
Book Synopsis Boundary Elements XIII by : C.A. Brebbia
Download or read book Boundary Elements XIII written by C.A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1005 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its origin in 1978, the International Conference on Boundary Element Methods has provided the recognized and established forum for innovations in boundary element research. Practically all new ideas on boundary ele ments have been presented at these conferences and the resulting papers can be found in the published books. The conference brings together the most renowned scientists and engineers working on boundary element research throughout the world. A unique feature of these meetings is that the participation of younger researchers is actively encouraged by the organizers in an effort to .bring forward to the attention of the international community an ever expanding range of new ideas. This book contains the edited version of the papers presented at the XIIIth BEM Conference held in Tulsa, Oklahoma in August of 1991. The meeting attracted a large number of participants and many excellent contributions which have been divided into nineteen different sections, i.e. Potential Prob lems; Diffusion and Convection Problems; Fluid Mechanics; Fluid Flow; Wave Propagation; Groundwater Flow; Heat Transfer; Electrical Problems; Geomechanics; Plates and Shells; Inelastic Problems; Damage Tolerance; Contact Mechanics; Industrial Applications; Design Sensitivity and Opti mization; Inverse Problems; Special Techniques; Numerical Aspects and Computational Aspects.
Book Synopsis Air Crash Investigations: The End of the Concorde Era, the Crash of Air France Flight 4590 by : George Cramoisi
Download or read book Air Crash Investigations: The End of the Concorde Era, the Crash of Air France Flight 4590 written by George Cramoisi and published by Lulu.com. This book was released on 2010-12 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: On Tuesday 25 July 2000 Air France Flight AFR 4590, a Concorde registered F-BTSC, took off from Paris Charles de Gaulle, to undertake a charter flight to New York with nine crew members and one hundred passengers on board. During takeoff from runway 26 right at Roissy Charles de Gaulle Airport, a tyre was damaged. A major fire broke out. The aircraft was unable to gain height or speed and crashed onto a hotel, killing all 109 people on board and 4 on the ground. The crash would become the end of the Concorde era.
Download or read book Electrothermie written by FOULGADAR and published by Lavoisier. This book was released on 2012-04-16 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Le chauffage par induction est actuellement absent dans beaucoup d'applications industrielles, et pourtant, il a une capacité importante d'innovations technologiques dès lors qu'un apport de chaleur est nécessaire. Cette absence vient du fait que les acteurs du chauffage par induction se sont intéressés essentiellement aux applications traditionnelles d'induction pour la fusion, l'élaboration et le traitement thermique des matériaux de bonnes conductivités électrique et thermique. L'objectif de cet ouvrage Électrothermie est donc de développer des méthodologies d'analyse et de la conception des systèmes du chauffage par induction pour les matériaux peu conducteurs. Dans ce cadre, les modèles analytiques et numériques couplés des phénomènes électromagnétiques et thermiques sont utilisés pour étudier et concevoir des installations du plasma inductif, de démontrer la faisabilité d'une technique du contrôle non destructif thermo inductive, et enfin illustrer les performance du chauffage par induction pour l'élaboration des matériaux composites à base de fibres de carbone.
Download or read book NUMGE 2002 written by Philippe Mestat and published by Presses des Ponts. This book was released on 2002 with total page 1112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Incertitudes, optimisation et fiabilité des structures by : EL HAMI Abdelkhalak
Download or read book Incertitudes, optimisation et fiabilité des structures written by EL HAMI Abdelkhalak and published by Lavoisier. This book was released on 2013-06-01 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: La fiabilité des systèmes complexes est un défi majeur pour les entreprises industrielles. Ces dernières doivent répondre aux exigences des donneurs d’ordre dont le non-respect entraînerait des pénalités compromettant les marchés futurs. L’un des enjeux majeurs de l’optimisation fiabiliste est d’établir une surveillance rigoureuse, capable de prédire et de détecter les modes de défaillances des systèmes étudiés. Cet ouvrage présente les avancées de la recherche et de l’industrie appliquées aux domaines de l’optimisation, de la fiabilité et de la prise en compte des incertitudes en mécanique. Ce couplage est à la base de la compétitivité des entreprises dans les secteurs de l’automobile, de l’aéronautique, du génie civil ou encore de la défense. Accompagné d’exemples détaillés, Incertitudes, optimisation et fiabilité des structures présente les nouveaux outils de conception les plus performants. Il s’adresse aux ingénieurs et aux enseignants-chercheurs.
