Nonlinear Finite Elements for Continua and Structures

Filename: nonlinear-finite-elements-for-continua-and-structures.pdf
ISBN: 9781118700082
Release Date: 2013-11-25
Number of pages: 832
Author: Ted Belytschko
Publisher: John Wiley & Sons

Download and read online Nonlinear Finite Elements for Continua and Structures in PDF and EPUB This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended finite element method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation-density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today's software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners in industry.


Finite Elemente Methoden

Filename: finite-elemente-methoden.pdf
ISBN: 3540668063
Release Date: 2002
Number of pages: 1253
Author: Klaus-Jürgen Bathe
Publisher: DrMaster Publications

Download and read online Finite Elemente Methoden in PDF and EPUB 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. TOC:Eine Einführung in den Gebrauch von Finite-Elemente-Verfahren.-Vektoren, Matrizen und Tensoren.-Einige Grundbegriffe ingenieurwissenschaftlicher Berechnungen.-Formulierung der Methode der finiten Elemente.-Formulierung und Berechnung von isoparametrischen Finite-Elemente-Matrizen.-Nichtlineare Finite-Elemente-Berechnungen in der Festkörper- und Strukturmechanik.-Finite-Elemente-Berechnungen von Wärmeübertragungs- und Feldproblemen.-Lösung von Gleichgewichtsbeziehungen in statischen Berechnungen.-Lösung von Bewegungsgleichungen in kinetischen Berechnungen.-Vorbemerkungen zur Lösung von Eigenproblemen.-Lösungsverfahren für Eigenprobleme.-Implementierung der Finite-Elemente-Methode.


Finite Elements of Nonlinear Continua

Filename: finite-elements-of-nonlinear-continua.pdf
ISBN: 9780486317908
Release Date: 2013-04-15
Number of pages: 448
Author: J. T. Oden
Publisher: Courier Corporation

Download and read online Finite Elements of Nonlinear Continua in PDF and EPUB 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


Non linear finite element analysis of solids and structures

Filename: non-linear-finite-element-analysis-of-solids-and-structures.pdf
ISBN: 047195649X
Release Date: 1997-04-16
Number of pages: 508
Author: M. A. Crisfield
Publisher: John Wiley & Sons

Download and read online Non linear finite element analysis of solids and structures in PDF and EPUB Non-linear Finite Element Analysis of Solids and Structures Volume 2: Advanced Topics M. A. Crisfield Imperial College of Science, Technology and Medicine, London, UK In such fields as aeronautical, civil, mechanical and structural engineering, non-linear analysis techniques are becoming widely used for the solution of practical engineering problems. Taking an engineering rather than a mathematical bias, this comprehensive book builds on the fundamental ideas explained in Volume One, introducing the reader to more detailed, advanced topics. Large strains and large rotations, plasticity with a range of yield criteria and hardening rules, stability theory and advanced solution procedures including branch-switching techniques, contact and friction, and nonlinear dynamics, are covered in depth. Examples from a non-linear finite element computer program incorporating the advanced solution procedures are included. The computer program is available on the Internet via anonymous ftp, using the URL ftp://ftp.cc.ic.ac.uk/pub/depts/aero/nonlin2/.


A First Course in Finite Elements

Filename: a-first-course-in-finite-elements.pdf
ISBN: 0470510846
Release Date: 2007-04-30
Number of pages: 336
Author: Jacob Fish
Publisher: John Wiley and Sons

Download and read online A First Course in Finite Elements in PDF and EPUB


FEM Formelsammlung Statik und Dynamik

Filename: fem-formelsammlung-statik-und-dynamik.pdf
ISBN: 9783658066307
Release Date: 2015-03-03
Number of pages: 274
Author: Lutz Nasdala
Publisher: Springer-Verlag

Download and read online FEM Formelsammlung Statik und Dynamik in PDF and EPUB 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.


Eindimensionale Finite Elemente

Filename: eindimensionale-finite-elemente.pdf
ISBN: 9783642544828
Release Date: 2015-03-17
Number of pages: 428
Author: Markus Merkel
Publisher: Springer-Verlag

Download and read online Eindimensionale Finite Elemente in PDF and EPUB Die Finite-Elemente-Methode wird in dieser Einführung in ihrer Komplexität auf eindimensionale Elemente heruntergebrochen. Somit bleibt die mathematische Beschreibung weitgehend einfach und überschaubar. Das Augenmerk liegt in jedem Kapitel auf der Erläuterung der Methode und deren Verständnis. Der Leser lernt, die Annahmen und Ableitungen bei verschiedenen physikalischen Problemstellungen in der Strukturmechanik zu verstehen und Möglichkeiten und Grenzen der Methode der Finiten Elemente kritisch zu beurteilen. Diese Herangehensweise ermöglicht das methodische Verständnis wichtiger Themenbereiche, wie z.B. Plastizität oder Verbundwerkstoffe und gewährleistet einen einfachen Einstieg in weiterführende Anwendungsgebiete. Ausführliche durchgerechnete und kommentierte Beispiele und weiterführende Aufgaben mit Kurzlösung im Anhang unterstützen den Lernerfolg. In der zweiten Auflage dieses Lehrbuches wurden alle graphischen Darstellungen überarbeitet, die Wärmeleitung bei den Stabelementen ergänzt und Spezialelemente als neues Kapitel aufgenommen. Auch wurde das Prinzip der virtuellen Arbeiten zur Ableitung der Finite-Elemente-Hauptgleichung eingeführt.


An Introduction to Nonlinear Finite Element Analysis

Filename: an-introduction-to-nonlinear-finite-element-analysis.pdf
ISBN: 9780199641758
Release Date: 2015
Number of pages: 687
Author: Junuthula Narasimha Reddy
Publisher: Oxford University Press, USA

Download and read online An Introduction to Nonlinear Finite Element Analysis in PDF and EPUB 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.


One Dimensional Finite Elements

Filename: one-dimensional-finite-elements.pdf
ISBN: 9783642317965
Release Date: 2012-10-06
Number of pages: 400
Author: Andreas Oechsner
Publisher: Springer Science & Business Media

Download and read online One Dimensional Finite Elements in PDF and EPUB This textbook presents finite element methods using exclusively one-dimensional elements. The aim is to present the complex methodology in an easily understandable but mathematically correct fashion. The approach of one-dimensional elements enables the reader to focus on the understanding of the principles of basic and advanced mechanical problems. The reader easily understands the assumptions and limitations of mechanical modeling as well as the underlying physics without struggling with complex mathematics. But although the description is easy it remains scientifically correct. The approach using only one-dimensional elements covers not only standard problems but allows also for advanced topics like plasticity or the mechanics of composite materials. Many examples illustrate the concepts and problems at the end of every chapter help to familiarize with the topics.


Programming the Finite Element Method

Filename: programming-the-finite-element-method.pdf
ISBN: 9781118535929
Release Date: 2013-09-05
Number of pages: 688
Author: I. M. Smith
Publisher: John Wiley & Sons

Download and read online Programming the Finite Element Method in PDF and EPUB Many students, engineers, scientists and researchers have benefited from the practical, programming-oriented style of the previous editions of Programming the Finite Element Method, learning how to develop computer programs to solve specific engineering problems using the finite element method. This new fifth edition offers timely revisions that include programs and subroutine libraries fully updated to Fortran 2003, which are freely available online, and provides updated material on advances in parallel computing, thermal stress analysis, plasticity return algorithms, convection boundary conditions, and interfaces to third party tools such as ParaView, METIS and ARPACK. As in the previous editions, a wide variety of problem solving capabilities are presented including structural analysis, elasticity and plasticity, construction processes in geomechanics, uncoupled and coupled steady and transient fluid flow and linear and nonlinear solid dynamics. Key features: • Updated to take into account advances in parallel computing as well as new material on thermal stress analysis • Programs use an updated version of Fortran 2003 • Includes exercises for students • Accompanied by website hosting software Programming the Finite Element Method, Fifth Edition is an ideal textbook for undergraduate and postgraduate students in civil and mechanical engineering, applied mathematics and numerical analysis, and is also a comprehensive reference for researchers and practitioners. Further information and source codes described in this text can be accessed at the following web sites: • www.inside.mines.edu/~vgriffit /PFEM5 for the serial programs from Chapters 4-11 • www.parafem.org.uk for the parallel programs from Chapter 12


Extended Finite Element Method

Filename: extended-finite-element-method.pdf
ISBN: 9780124078567
Release Date: 2014-03-24
Number of pages: 286
Author: Zhuo Zhuang
Publisher: Academic Press

Download and read online Extended Finite Element Method in PDF and EPUB Extended Finite Element Method provides an introduction to the extended finite element method (XFEM), a novel computational method which has been proposed to solve complex crack propagation problems. The book helps readers understand the method and make effective use of the XFEM code and software plugins now available to model and simulate these complex problems. The book explores the governing equation behind XFEM, including level set method and enrichment shape function. The authors outline a new XFEM algorithm based on the continuum-based shell and consider numerous practical problems, including planar discontinuities, arbitrary crack propagation in shells and dynamic response in 3D composite materials. Authored by an expert team from one of China's leading academic and research institutions Offers complete coverage of XFEM, from fundamentals to applications, with numerous examples Provides the understanding needed to effectively use the latest XFEM code and software tools to model and simulate dynamic crack problems


Extended Finite Element Method

Filename: extended-finite-element-method.pdf
ISBN: 9781118457689
Release Date: 2015-02-23
Number of pages: 584
Author: Amir R. Khoei
Publisher: John Wiley & Sons

Download and read online Extended Finite Element Method in PDF and EPUB Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Extended Finite Element Method: Theory and Applications introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics. The XFEM approach is based on an extension of standard finite element method based on the partition of unity method. Extended Finite Element Method: Theory and Applications begins by introducing the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. It then covers the theory and application of XFEM in large deformations, plasticity and contact problems. The implementation of XFEM in fracture mechanics, including the linear, cohesive, and ductile crack propagation is also covered. The theory and applications of the XFEM in multiphase fluid flow, including the hydraulic fracturing in soil saturated media and crack propagation in thermo-hydro-mechanical porous media, is also discussed in detail. Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples


Elasto Plasticity of Frame Structure Elements

Filename: elasto-plasticity-of-frame-structure-elements.pdf
ISBN: 9783662442258
Release Date: 2014-08-13
Number of pages: 596
Author: Andreas Öchsner
Publisher: Springer

Download and read online Elasto Plasticity of Frame Structure Elements in PDF and EPUB The finite element method is a powerful tool even for non-linear materials’ modeling. But commercial solutions are limited and many novel materials do not follow standard constitutive equations on a macroscopic scale. Thus, is it required that new constitutive equations are implemented into the finite element code. However, it is not sufficient to simply implement only the equations but also an appropriate integration algorithm for the constitutive equation must be provided. This book is restricted to one-dimensional plasticity in order to reduce and facilitate the mathematical formalism and theory and to concentrate on the basic ideas of elasto-plastic finite element procedures. A comprehensive set of completely solved problems is designed for the thorough understand of the presented theory. After working with this new book and reviewing the provided solved and supplementary problems, it should be much easier to study and understand the advanced theory and the respective text books.


Biomaterials in Hand Surgery

Filename: biomaterials-in-hand-surgery.pdf
ISBN: 8847011957
Release Date: 2009-11-05
Number of pages: 143
Author: Antonio Merolli
Publisher: Springer Science & Business Media

Download and read online Biomaterials in Hand Surgery in PDF and EPUB 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.


Computational Methods for Reinforced Concrete Structures

Filename: computational-methods-for-reinforced-concrete-structures.pdf
ISBN: 9783433603635
Release Date: 2014-09-23
Number of pages: 354
Author: Ulrich Häußler-Combe
Publisher: John Wiley & Sons

Download and read online Computational Methods for Reinforced Concrete Structures in PDF and EPUB The book covers the application of numerical methods to reinforced concrete structures. To analyze reinforced concrete structures linear elastic theories are inadequate because of cracking, bond and the nonlinear and time dependent behavior of both concrete and reinforcement. These effects have to be considered for a realistic assessment of the behavior of reinforced concrete structures with respect to ultimate limit states and serviceability limit states. The book gives a compact review of finite element and other numerical methods. The key to these methods is through a proper description of material behavior. Thus, the book summarizes the essential material properties of concrete and reinforcement and their interaction through bond. These basics are applied to different structural types such as bars, beams, strut and tie models, plates, slabs and shells. This includes prestressing of structures, cracking, nonlinear stressstrain relations, creeping, shrinkage and temperature changes. Appropriate methods are developed for each structural type. Large displacement and dynamic problems are treated as well as short-term quasi-static problems and long-term transient problems like creep and shrinkage. Most problems are illustrated by examples which are solved by the program package ConFem, based on the freely available Python programming language. The ConFem source code together with the problem data is available under open source rules at concrete-fem.com. The author aims to demonstrate the potential and the limitations of numerical methods for simulation of reinforced concrete structures, addressing students, teachers, researchers and designing and checking engineers.