Nonlinear Continuum Mechanics for Finite Element Analysis


Author: Javier Bonet,Richard D. Wood
Publisher: Cambridge University Press
ISBN: 9781139467544
Category: Science
Page: N.A
View: 1556
DOWNLOAD NOW »
Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at www.flagshyp.com. Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.

Worked Examples in Nonlinear Continuum Mechanics for Finite Element Analysis


Author: Javier Bonet,Antonio J. Gil,Richard D. Wood
Publisher: Cambridge University Press
ISBN: 1107603617
Category: Mathematics
Page: 136
View: 1599
DOWNLOAD NOW »
Extensive solved exercises and solutions to complement the authors' theoretical text Nonlinear Continuum Mechanics for Finite Element Analysis.

Nichtlineare Finite-Element-Methoden


Author: Peter Wriggers
Publisher: Springer-Verlag
ISBN: 3642568653
Category: Technology & Engineering
Page: 496
View: 8415
DOWNLOAD NOW »
Die Anwendung der Finite-Element-Methode auf nichtlineare technische Probleme hat in den letzten Jahren - auch wegen der stark angestiegenen Rechnerleistung - erheblich zugenommen. Bei nichtlinearen numerischen Simulationen sind verschiedene Aspekte zu berücksichtigen, die das Wissen und Verstehen der theoretischen Grundlagen, der zugehörigen Elementformulierungen sowie der Algorithmen zur Lösung der nichtlinearen Gleichungen voraussetzen. Hierzu soll dieses Buch beitragen, wobei die Bandbreite nichtlinearer Finite-Element-Analysen im Bereich der Festkörpermechanik abgedeckt wird. Das Buch wendet sich an Studierende des Ingenieurwesens im Hauptstudium, an Doktoranden aber auch an praktisch tätige Ingenieure, die Hintergrundwissen im Bereich der Finite-Element-Methode erlangen möchten.

Nonlinear Continuum Mechanics and Large Inelastic Deformations


Author: Yuriy I. Dimitrienko
Publisher: Springer Science & Business Media
ISBN: 9789400700345
Category: Technology & Engineering
Page: 721
View: 2425
DOWNLOAD NOW »
The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry, all in systematized form. The focus of the book is a new approach to the formulation of the constitutive equations for elastic and inelastic continua under large deformation. This new approach is based on using energetic and quasi-energetic couples of stress and deformation tensors. This approach leads to a unified treatment of large, anisotropic elastic, viscoelastic, and plastic deformations. The author analyses classical problems, including some involving nonlinear wave propagation, using different models for continua under large deformation, and shows how different models lead to different results. The analysis is accompanied by experimental data and detailed numerical results for rubber, the ground, alloys, etc. The book will be an invaluable text for graduate students and researchers in solid mechanics, mechanical engineering, applied mathematics, physics and crystallography, as also for scientists developing advanced materials.

Finite-Elemente-Methoden


Author: Klaus-Jürgen Bathe
Publisher: Springer Verlag
ISBN: 9783540668060
Category: Technology & Engineering
Page: 1253
View: 4474
DOWNLOAD NOW »
Dieses Lehr- und Handbuch behandelt sowohl die elementaren Konzepte als auch die fortgeschrittenen und zukunftsweisenden linearen und nichtlinearen FE-Methoden in Statik, Dynamik, Festkörper- und Fluidmechanik. Es wird sowohl der physikalische als auch der mathematische Hintergrund der Prozeduren ausführlich und verständlich beschrieben. Das Werk enthält eine Vielzahl von ausgearbeiteten Beispielen, Rechnerübungen und Programmlisten. Als Übersetzung eines erfolgreichen amerikanischen Lehrbuchs hat es sich in zwei Auflagen auch bei den deutschsprachigen Ingenieuren etabliert. Die umfangreichen Änderungen gegenüber der Vorauflage innerhalb aller Kapitel - vor allem aber der fortgeschrittenen - spiegeln die rasche Entwicklung innerhalb des letzten Jahrzehnts auf diesem Gebiet wieder.

Nichtlineare Finite-Elemente-Analyse von Festkörpern und Strukturen


Author: René de Borst,Mike A. Crisfield,Joris J. C. Remmers,Clemens V. Verhoosel
Publisher: John Wiley & Sons
ISBN: 3527678026
Category: Technology & Engineering
Page: 587
View: 4123
DOWNLOAD NOW »
Echte Ingenieursprobleme sind intrinsisch nichtlinear. Kennnisse der nichtlinearen Finiten-Elemente-Analyse sind für Maschinenbauer, Bauingenieure und Werkstofftechniker daher unabdingbar. Mit ihrer Hilfe lassen sich mechanische Festigkeitsberechnungen durchführen, zeit- und kostenintensive Tests bei der Produktentwicklung werden so reduziert. Didaktisch schlüssig vom Modell und dessen theoretischer Durchdringung bis zum Algorithmus und dessen praktischer Implementierung bietet dieses Buch eine Einführung in die nichtlineare Finite-Elemente-Analyse ? leicht zugänglich, kompakt und auf die technische Ausrichtung fokussiert: - mathematische und kontinuumsmechanische Grundlagen, Lösungstechniken für nichtlineare Probleme in der statischen und dynamischen Analyse - erste Einblicke in geometrische Nichtlinearitäten - Schädigung, Plastizität und zeitabhängige Nichtlinearitäten - Plastizität von Balken, Bögen und Schalen - elastische und elastoplastische Finite-Elemente-Analyse großer Dehnungen - Einführung in moderne Diskretisierungskonzepte Hilfreich fürs Bestehen von Prüfungen sind die Beispiele im frei erhältlichen Finite-Elemente-Code auf Python?-Basis. Das dazugehörige Hintergrundwissen macht den User mit den Möglichkeiten und Grenzen moderner Finite-Elemente-Software vertraut. Der ideale Einstieg in die nichtlineare Finite-Elemente-Analyse für Studenten und Praktiker ? mit so viel Mathematik wie nötig und so vielen realen Ingenieursproblemen wie möglich. Mit Beispielen im Finite-Elemente-Code auf Python?-Basis unter: www.wiley-vch.de

Tensoranalysis


Author: Heinz Schade,Klaus Neemann
Publisher: Walter de Gruyter
ISBN: 3110213214
Category: Science
Page: 462
View: 4431
DOWNLOAD NOW »
Dieses Lehrbuch stellt eine umfassende und leicht verständliche Einführung in die Tensoranalysis dar, die hier als Oberbegriff von klassischer Tensoranalysis und Tensoralgebra zu verstehen ist und die in vielen Anwendungen der Physik und der Ingenieurwissenschaften benötigt wird. Es vermittelt die nötigen algebraischen Hilfsmittel und enthält zahlreiche Übungsaufgaben mit Lösungen, so dass es sich auch für ein Selbststudium eignet.

Nonlinear Solid Mechanics for Finite Element Analysis: Statics


Author: Javier Bonet,Antonio J. Gil,Richard D. Wood
Publisher: Cambridge University Press
ISBN: 131668816X
Category: Mathematics
Page: N.A
View: 6181
DOWNLOAD NOW »
Designing engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, which requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both the nonlinear solid mechanics and the associated finite element techniques together, the authors provide, in the first of two books in this series, a complete, clear, and unified treatment of the static aspects of nonlinear solid mechanics. Alongside a range of worked examples and exercises are user instructions, program descriptions, and examples for the FLagSHyP MATLAB computer implementation, for which the source code is available online. While this book is designed to complement postgraduate courses, it is also relevant to those in industry requiring an appreciation of the way their computer simulation programs work.

FEM-Formelsammlung Statik und Dynamik

Hintergrundinformationen, Tipps und Tricks
Author: Lutz Nasdala
Publisher: Springer-Verlag
ISBN: 365806630X
Category: Technology & Engineering
Page: 274
View: 2340
DOWNLOAD NOW »
Die vorliegende Formelsammlung richtet sich an die Anwender kommerzieller Finite Elemente Programme, die bereits die im Rahmen einer typischen FEM-Einführungsvorlesung erworbenen Grundkenntnisse mitbringen und sich einen Überblick über die Möglichkeiten dieser sehr leistungsstarken Programmpakete verschaffen m öchten. Denn nur wer die Unterschiede zwischen den verschiedenen Analysearten, Elementen oder Kontaktalgorithmen kennt, kann diese auch effizient einsetzen. Der Autor zeigt anhand der wichtigsten Formeln, erläuternder Skizzen und anschaulicher Beispiele das gesamte Anwendungsspektrum der FEM für statische und dynamische Problemstellungen. Damit schließt das Buch die Lücke zwischen einer FEM-Grundvorlesung und den Möglichkeiten eines kommerziellen FE-Programms.

Large Strain Finite Element Method

A Practical Course
Author: Antonio Munjiza,Earl E. Knight,Esteban Rougier
Publisher: John Wiley & Sons
ISBN: 1118535804
Category: Mathematics
Page: 488
View: 3352
DOWNLOAD NOW »
An introductory approach to the subject of large strains andlarge displacements in finite elements. Large Strain Finite Element Method: A Practical Course,takes an introductory approach to the subject of large strains andlarge displacements in finite elements and starts from the basicconcepts of finite strain deformability, including finite rotationsand finite displacements. The necessary elements of vector analysisand tensorial calculus on the lines of modern understanding of theconcept of tensor will also be introduced. This book explains how tensors and vectors can be describedusing matrices and also introduces different stress and straintensors. Building on these, step by step finite element techniquesfor both hyper and hypo-elastic approach will be considered. Material models including isotropic, unisotropic, plastic andviscoplastic materials will be independently discussed tofacilitate clarity and ease of learning. Elements of transientdynamics will also be covered and key explicit and iterativesolvers including the direct numerical integration, relaxationtechniques and conjugate gradient method will also be explored. This book contains a large number of easy to followillustrations, examples and source code details that facilitateboth reading and understanding. Takes an introductory approach to the subject of large strainsand large displacements in finite elements. No prior knowledge ofthe subject is required. Discusses computational methods and algorithms to tackle largestrains and teaches the basic knowledge required to be able tocritically gauge the results of computational models. Contains a large number of easy to follow illustrations,examples and source code details. Accompanied by a website hosting code examples.

An Introduction to Nonlinear Finite Element Analysis

With Applications to Heat Transfer, Fluid Mechanics, and Solid Mechanics
Author: Junuthula Narasimha Reddy,J. N. Reddy
Publisher: Oxford University Press, USA
ISBN: 0199641757
Category: Science
Page: 687
View: 8583
DOWNLOAD NOW »
The second edition of An Introduction to Nonlinear Finite Element Analysis offers an easy-to-understand treatment of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. Additional explanations, examples, and problems have been added to all chapters. The book may be used as a textbook for an advanced course (after a first course) on the finite element method orthe first course on nonlinear finite element analysis. A solutions manual is available on request from the publisher to instructors who adopt the book as a textbook for a course.

Cardiovascular Solid Mechanics

Cells, Tissues, and Organs
Author: Jay D. Humphrey
Publisher: Springer Science & Business Media
ISBN: 9780387951683
Category: Medical
Page: 757
View: 1689
DOWNLOAD NOW »
Cardiovascular Solid Mechanics: Cells, Tissues, and Organs is a vital resource for courses on cardiovascular solid mechanics or soft tissue biomechanics. Focusing on the response of the heart and blood vessels to mechanical loads from the perspective of nonlinear solid mechanics, its primary goal is to integrate basic analytical, experimental, and computational methods to offer a more complete understanding of the underlying mechanobiology. While dealing primarily with cardiovascular mechanics, both the fundamental methods and many of the specific results are applicable to many different soft tissues, making this book an excellent general introduction to soft tissue biomechanics overall. Divided into three parts, Cardiovascular Solid Mechanics presents a practical and rational approach to biomechanics. Part I, Foundations, briefly reviews historical points of interest, basic molecular and cell biology, histology, and an overview of soft tissue mechanics. In order to provide not only a working framework, but also to give key references for those who wish to develop and extend biomechanics, included are mathematical preliminaries and salient results from continuum mechanics, finite elasticity, experimental mechanics, and finite elements. Part II, Vascular Mechanics, reviews the anatomy, histology, and physiology of arteries, illustrating and discussing constitutive formulations and stress analyses for healthy mature arteries. Considerable attention is given to the concept of residual stress and the mechanics of a number of vascular disorders, including atherosclerosis, aneurysms, and hypertension, as well as the mechanics of popular endovascular therapies such as balloon angioplasty. Part III, Cardiac Mechanics, reviews the requisite anatomy, histology, physiology, and pathology, and discusses the constitutive relations and stress analyses in the normal, mature heart. Finally, the book points the reader to areas of study that require more advanced theoretical, experimental, and computational methods, such as electromechanics, thermomechanics, mixture theory analysis of solid-fluid coupling, and damage mechanics. This book is designed as a text for an upper-division course on cardiovascular solid mechanics but will also serve as a good introduction to soft tissue biomechanics. Exercises at the end of each chapter will clarify complex concepts for both students and more experienced readers. Clinicians, life scientists, engineers, and mathematicians will also find this an invaluable guide, with concise and practical chapters, all of which are amply referenced. Cover illustration: Schema of a developing pathology of the arterial wall under mechanical stress.

Computational Continuum Mechanics


Author: Ahmed A. Shabana
Publisher: Cambridge University Press
ISBN: 1139505424
Category: Science
Page: N.A
View: 9852
DOWNLOAD NOW »
This second edition presents the theory of continuum mechanics using computational methods. The text covers a broad range of topics including general problems of large rotation and large deformations and the development and limitations of finite element formulations in solving such problems. Dr Shabana introduces theories on motion kinematics, strain, forces and stresses and goes on to discuss linear and nonlinear constitutive equations, including viscoelastic and plastic constitutive models. General nonlinear continuum mechanics theory is used to develop small and large finite element formulations which correctly describe rigid body motion for use in engineering applications. This second edition features a new chapter that focuses on computational geometry and finite element analysis. This book is ideal for graduate and undergraduate students, professionals and researchers who are interested in continuum mechanics.

Nonlinear Finite Element Methods


Author: Peter Wriggers
Publisher: Springer Science & Business Media
ISBN: 3540710000
Category: Mathematics
Page: 560
View: 4735
DOWNLOAD NOW »
Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

Biomaterials in Hand Surgery


Author: Antonio Merolli,Thomas J. Joyce
Publisher: Springer Science & Business Media
ISBN: 9788847011953
Category: Medical
Page: 143
View: 878
DOWNLOAD NOW »
Biomaterials are used in many areas of medicine, particularly in surgery and d- tistry. In orthopedic surgery, total hip arthroplasty has been extremely successful, and has been called ‘the operation of the 20th century’. Total hip arthroplasty is r- tinely performed every day in most orthopedic departments. Over the last decades, many efforts have been made to better integrate the components within the recipient bones, to decrease the friction at the prosthetic interface, and to minimize wear. Minimally invasive procedures have been developed, and various designs are inte- ed to preserve as much as possible of the bone stock of young patients. By contrast, the clinical results have been less favorable after various hand and wrist joint replacements. Many early designs have failed, the clinical data of the current pr- theses are frequently quite limited, and there is often insufficient biomechanical information available, although trapezio-metacarpal arthroplasty in particular has become quite popular in recent years. In order to promote progress in hand and wrist arthroplasty, Antonio Merolli and Thomas J. Joyce have edited this lovely book, whose chapters discuss current research and recent advances in hand and wrist arthroplasty. The problems of metacarpophalangeal joint prostheses are particularly developed.

Nonlinear Solid Mechanics

Theoretical Formulations and Finite Element Solution Methods
Author: Adnan Ibrahimbegovic
Publisher: Springer Science & Business Media
ISBN: 9048123305
Category: Computers
Page: 574
View: 6087
DOWNLOAD NOW »
This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.

Finite Elements of Nonlinear Continua


Author: J. T. Oden
Publisher: Courier Corporation
ISBN: 0486317900
Category: Technology & Engineering
Page: 448
View: 860
DOWNLOAD NOW »
Geared toward undergraduate and graduate students, this text extends applications of the finite element method from linear problems in elastic structures to a broad class of practical, nonlinear problems in continuum mechanics. It treats both theory and applications from a general and unifying point of view. The text reviews the thermomechanical principles of continuous media and the properties of the finite element method, and then brings them together to produce discrete physical models of nonlinear continua. The mathematical properties of these models are analyzed, along with the numerical solution of the equations governing the discrete model. Though the theory and methods are sufficiently general to be applied to any nonlinear problem, emphasis has been placed on problems in finite elasticity, viscoelasticity, heat conduction, and thermoviscoelasticity. Problems in rarefied gas dynamics and nonlinear partial differential equations are also examined. Other topics include topological properties of finite element models, applications to linear and nonlinear boundary value problems, and discrete models of nonlinear thermomechanical behavior of dissipative media. This comprehensive text is valuable not only to students of structural analysis and continuum mechanics but also to professionals researching the numerical analysis of continua

Mechanik der Kontinua


Author: G. Hamel
Publisher: Springer-Verlag
ISBN: 3663014029
Category: Technology & Engineering
Page: 211
View: 6350
DOWNLOAD NOW »
Dem großen Lehrmeister der Mechanik, Georg Hamei, war es vergönnt, vor seinem Tode auch noch den letzten, handgeschriebenen Teil seiner "Mechanik der Kon tinua" durchzusehen. Der weitaus größte Teil lag schon in Maschinenschrift vor, die dazugehörigen Abbildungen waren gezeichnet. Ich darf vorausschicken, daß die Bitte und Anregung an Hamei, diesen, von allen seinen Schülern so sehr geschätzten und von ihm selbst wohl am meisten geliebten Teil seiner Vorlesungen in Buchform erscheinen zu lassen, von mir ausgegangen ist. Er griff diesen Gedanken freudig auf, und in Landshut, wo Hamel seine letzten Lebensjahre verbrachte, wurde von Herrn Studienrat Käufi aus Vorlesungsaufzeichnungen und nach Diktaten ein handgeschriebenes Manuskript fertiggestellt, von Hamel durch gelesen und mir - wie er schrieb - "aktiv Lehrendem" übergeben, um "kritisch gelesen zu werden". Bei der Durchsicht und den anschließenden Änderungen unterstützte mich Herr Dipl. -Math. Andre mit großer Gewissenhaftigkeit und mit vorzüglichen und kritischen Sachkenntnissen; er hat auch sämtliche Ablei tungen und Beispiele noch einmal durchgerechnet und schließlich das maschinen geschriebene Manuskript fertiggestellt. In persönlichen Unterhaltungen und in der Korrespondenz war es mit Hamel ver einbart, daß wir das maschinengeschriebene Exemplar des Werkes noch einmal einer "Generaldurchsicht" unterziehen sollten, um eventuelle Änderungen und insbesondere Kürzungen zu erwägen; wegen Hameis Tod wurde diese gemeinsam geplante Arbeit nicht mehr durchgeführt. Als ich auf Aufforderung des V erlages die Herausgabe übernahm, verbot nicht allein die Pietät, sondern auch die eigene Überzeugung es mir, größere Änderungen oder Kürzungen vorzunehmen.

Finite-Elemente-Methoden

Matrizen und lineare Algebra, die Methode der finiten Elemente, Lösung von Gleichgewichtsbedingungen und Bewegungsgleichungen
Author: Klaus-Jurgen Bathe
Publisher: Springer
ISBN: 9783540156024
Category: Technology & Engineering
Page: 820
View: 9821
DOWNLOAD NOW »
Aus den Besprechungen: "Mit der gelungenen Übersetzung wird dem deutschen Studenten, Dozenten und Ingenieur ein schon seit 1982 in den USA verbreitetes und bewährtes Standardwerk zugängig gemacht. Dieses Buch besticht zunächst dadurch, daß die Finite-Element-Methode in großer Breite abgehandelt wird. ... Dabei fehlt es nicht an Tiefe der Durchdringung und mathematischer Strenge. Didaktisch wird geschickt von jeweils einführenden Abschnitten und vielen Berechnungsbeispielen ausgegangen. ... Dieses hervorragende Lehrbuch und Nachschlagewerk dürfte auch den deutschen Fachleuten ein unentbehrlicher Begleiter werden." Schweissen & Schneiden#1 "... Im Anhang werden anhand des abgedruckten Programs STAP alle wesentlichen Aspekte, die die Implementierung der Verfahren betreffen, erörtert. Zahlreiche Zahlenbeispiele sorgen dafür, daß auch Leser mit nur geringen Vorkenntnissen den "roten Faden" nicht verlieren. Das Buch dokumentiert auf eindrucksvolle Weise den hohen Entwicklungsstandard der Methode der Finiten Elemente. Es ist ein sehr gutes Hilfsmittel für die Ausbildung von Studenten der Ingenieurwissenschaften in höheren Semestern. Darüber hinaus kann es aber auch allen interessierten Ingenieuren als Grundlagenwerk sehr empfohlen werden." Bautechnik#2