Nonlinear Finite Element Methods

Nonlinear Finite Element Methods
Author: Peter Wriggers
Publsiher: Springer Science & Business Media
Total Pages: 560
Release: 2008-11-04
Genre: Technology & Engineering
ISBN: 9783540710011

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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.

Nonlinear Finite Element Methods

Nonlinear Finite Element Methods
Author: Peter Wriggers
Publsiher: Springer Science & Business Media
Total Pages: 560
Release: 2008-09-24
Genre: Mathematics
ISBN: 9783540710004

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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.

Nonlinear Finite Element Methods

Nonlinear Finite Element Methods
Author: Peter Wriggers
Publsiher: Springer
Total Pages: 560
Release: 2010-10-15
Genre: Technology & Engineering
ISBN: 3642090028

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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.

Nonlinear Finite Elements for Continua and Structures

Nonlinear Finite Elements for Continua and Structures
Author: Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary
Publsiher: John Wiley & Sons
Total Pages: 830
Release: 2014-01-07
Genre: Science
ISBN: 9781118632703

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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.

Nonlinear Finite Element Analysis of Solids and Structures

Nonlinear Finite Element Analysis of Solids and Structures
Author: René de Borst,Mike A. Crisfield,Joris J. C. Remmers,Clemens V. Verhoosel
Publsiher: John Wiley & Sons
Total Pages: 544
Release: 2012-07-25
Genre: Technology & Engineering
ISBN: 9781118376010

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Built upon the two original books by Mike Crisfield and theirown lecture notes, renowned scientist René de Borst and histeam offer a thoroughly updated yet condensed edition that retainsand builds upon the excellent reputation and appeal amongststudents and engineers alike for which Crisfield's first edition isacclaimed. Together with numerous additions and updates, the new authorshave retained the core content of the original publication, whilebringing an improved focus on new developments and ideas. Thisedition offers the latest insights in non-linear finite elementtechnology, including non-linear solution strategies, computationalplasticity, damage mechanics, time-dependent effects,hyperelasticity and large-strain elasto-plasticity. The authors' integrated and consistent style and unrivalledengineering approach assures this book's unique position within thecomputational mechanics literature. Key features: Combines the two previous volumes into one heavily revised textwith obsolete material removed, an improved layout and updatedreferences and notations Extensive new material on more recent developments incomputational mechanics Easily readable, engineering oriented, with no more details inthe main text than necessary to understand the concepts. Pseudo-code throughout makes the link between theory andalgorithms, and the actual implementation. Accompanied by a website (www.wiley.com/go/deborst) with aPython code, based on the pseudo-code within the book and suitablefor solving small-size problems. Non-linear Finite Element Analysis of Solids and Structures, 2ndEdition is an essential reference for practising engineers andresearchers that can also be used as a text for undergraduate andgraduate students within computational mechanics.

Nonlinear Finite Element Analysis of Composite and Reinforced Concrete Beams

Nonlinear Finite Element Analysis of Composite and Reinforced Concrete Beams
Author: Xiaoshan Lin,Yixia (Sarah) Zhang,Prabin Pathak
Publsiher: Woodhead Publishing
Total Pages: 256
Release: 2019-10-18
Genre: Architecture
ISBN: 9780128169001

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Nonlinear Finite Element Analysis of Composite and Reinforced Concrete Beams presents advanced methods and techniques for the analysis of composite and FRP reinforced concrete beams. The title introduces detailed numerical modeling methods and the modeling of the structural behavior of composite beams, including critical interfacial bond-slip behavior. It covers a new family of composite beam elements developed by the authors. Other sections cover nonlinear finite element analysis procedures and the numerical modeling techniques used in commercial finite element software that will be of particular interest to engineers and researchers executing numerical simulations. Gives advanced methods and techniques for the analysis of composite and fiber Reinforced Plastic (FRP) and reinforced concrete beams Presents new composite beam elements developed by the authors Introduces numerical techniques for the development of effective finite element models using commercial software Discusses the critical issues encountered in structural analysis Maintains a clear focus on advanced numerical modeling

Introduction to Nonlinear Finite Element Analysis

Introduction to Nonlinear Finite Element Analysis
Author: Nam-Ho Kim
Publsiher: Springer Science & Business Media
Total Pages: 430
Release: 2014-11-21
Genre: Technology & Engineering
ISBN: 9781441917461

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This book introduces the key concepts of nonlinear finite element analysis procedures. The book explains the fundamental theories of the field and provides instructions on how to apply the concepts to solving practical engineering problems. Instead of covering many nonlinear problems, the book focuses on three representative problems: nonlinear elasticity, elastoplasticity, and contact problems. The book is written independent of any particular software, but tutorials and examples using four commercial programs are included as appendices: ANSYS, NASTRAN, ABAQUS, and MATLAB. In particular, the MATLAB program includes all source codes so that students can develop their own material models, or different algorithms. Please visit the author's website for supplemental material, including PowerPoint presentations and MATLAB codes, at http://www2.mae.ufl.edu/nkim/INFEM/

Nonlinear Finite Element Analysis in Structural Mechanics

Nonlinear Finite Element Analysis in Structural Mechanics
Author: W. Wunderlich,E. Stein,K.J. Bathe
Publsiher: Springer Science & Business Media
Total Pages: 777
Release: 2013-03-14
Genre: Science
ISBN: 9783642815898

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With the rap1d development of computational capab1lities, nonl1near f1nite element analys1s 1n structural mechan1CS has become an 1mportant field of research. Its objective is the real1stic assessment of the actual behaV10r of structures by numerical methods. Th1S requires that all nonlinear effects, such as the nonl1near character1stics of the mater1al and large deformations be taken 1nto account. The act1vities in th1S f1eld be1ng worldw1de, d1rect 1nteraction between the various research groups 1S necessary to coordinate future research and to overcome the time gap between the generat10n of new results and the1r appearance 1n the 11terature. The f1rst U.S.-Germany Sympos1um was held 1n 1976 at the Massachusetts Inst1tute of Technology. Under the general to P1C "Formulat1ons and Computat1onal Algorithms in Fin1te Ele ment Analysis" 1t prov1ded an opportun1ty for about 20 re searchers from each country to present lectures, hold discus sions, and establ1sh mutual contacts. The success of th1S first sympos1um was so encourag1ng that 1t seemed natural to organ- 1ze a second bilateral meet1ng, this time 1n Germany, and to 1nv1te researchers from other European countr1es as well.

Nonlinear Continuum Mechanics for Finite Element Analysis

Nonlinear Continuum Mechanics for Finite Element Analysis
Author: Javier Bonet,Richard D. Wood
Publsiher: Cambridge University Press
Total Pages: 135
Release: 2008-03-13
Genre: Science
ISBN: 1139467549

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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.

Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics

Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics
Author: Shen R. Wu,Lei Gu
Publsiher: John Wiley & Sons
Total Pages: 352
Release: 2012-07-30
Genre: Mathematics
ISBN: 9781118382073

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A systematic introduction to the theories and formulations ofthe explicit finite element method As numerical technology continues to grow and evolve withindustrial applications, understanding the explicit finite elementmethod has become increasingly important, particularly in the areasof crashworthiness, metal forming, and impact engineering.Introduction to the Explicit Finite Element Method forNonlinear Transient Dynamics is the first book to addressspecifically what is now accepted as the most successful numericaltool for nonlinear transient dynamics. The book aids readers inmastering the explicit finite element method and programming codewithout requiring extensive background knowledge of the generalfinite element. The authors present topics relating to the variationalprinciple, numerical procedure, mechanical formulation, andfundamental achievements of the convergence theory. In addition,key topics and techniques are provided in four clearly organizedsections: • Fundamentals explores a framework of the explicitfinite element method for nonlinear transient dynamics andhighlights achievements related to the convergence theory • Element Technology discusses four-node,three-node, eight-node, and two-node element theories • Material Models outlines models of plasticity andother nonlinear materials as well as the mechanics model of ductiledamage • Contact and Constraint Conditions covers subjectsrelated to three-dimensional surface contact, with examples solvedanalytically, as well as discussions on kinematic constraintconditions Throughout the book, vivid figures illustrate the ideas and keyfeatures of the explicit finite element method. Examples clearlypresent results, featuring both theoretical assessments andindustrial applications. Introduction to the Explicit Finite Element Method forNonlinear Transient Dynamics is an ideal book for bothengineers who require more theoretical discussions and fortheoreticians searching for interesting and challenging researchtopics. The book also serves as an excellent resource for courseson applied mathematics, applied mechanics, and numerical methods atthe graduate level.

Finite Element Procedures

Finite Element Procedures
Author: Klaus-Jürgen Bathe
Publsiher: Unknown
Total Pages: 1037
Release: 1996
Genre: Engineering mathematics
ISBN: UOM:39015036033655

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BASIC APPROACH: Comprehensive -- this text explores the "full range" of finite element methods used in engineering practice for actual applications in computer-aided design. It provides not only an introduction to finite element methods and the commonality in the various techniques, but explores state-of-the-art methods as well -- with a focus on what are deemed to become "classical techniques" -- procedures that will be "standard and authoritative" for finite element analysis for years to come. FEATURES: presents in sufficient depth and breadth elementary concepts AND advanced techniques in statics, dynamics, solids, fluids, linear and nonlinear analysis. emphasizes both the physical and mathematical characteristics of procedures. presents some important mathematical conditions on finite element procedures. contains an abundance of worked-out examples and various complete program listings. includes many exercises/projects that often require the use of a computer program.

An Introduction to the Finite Element Method

An Introduction to the Finite Element Method
Author: Junuthula Narasimha Reddy
Publsiher: Unknown
Total Pages: 766
Release: 2006
Genre: Finite element method
ISBN: 0071244735

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The book retains its strong conceptual approach, clearly examining the mathematical underpinnings of FEM, and providing a general approach of engineering application areas.Known for its detailed, carefully selected example problems and extensive selection of homework problems, the author has comprehensively covered a wide range of engineering areas making the book approriate for all engineering majors, and underscores the wide range of use FEM has in the professional world

Nonlinear Solid Mechanics for Finite Element Analysis Dynamics

Nonlinear Solid Mechanics for Finite Element Analysis  Dynamics
Author: Javier Bonet,Antonio J. Gil,Richard D. Wood
Publsiher: Cambridge University Press
Total Pages: 348
Release: 2021-03-18
Genre: Mathematics
ISBN: 9781107115620

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The perfect introduction to the theory and computer programming for the dynamic simulation of nonlinear solid mechanics.

Finite Element Analysis and Design of Metal Structures

Finite Element Analysis and Design of Metal Structures
Author: Ehab Ellobody,Ran Feng,Ben Young
Publsiher: Elsevier
Total Pages: 218
Release: 2013-09-05
Genre: Technology & Engineering
ISBN: 9780124165755

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Traditionally, engineers have used laboratory testing to investigate the behavior of metal structures and systems. These numerical models must be carefully developed, calibrated and validated against the available physical test results. They are commonly complex and very expensive. From concept to assembly, Finite Element Analysis and Design of Metal Structures provides civil and structural engineers with the concepts and procedures needed to build accurate numerical models without using expensive laboratory testing methods. Professionals and researchers will find Finite Element Analysis and Design of Metal Structures a valuable guide to finite elements in terms of its applications. Presents design examples for metal tubular connections Simplified review for general steps of finite element analysis Commonly used linear and nonlinear analyses in finite element modeling Realistic examples of concepts and procedures for Finite Element Analysis and Design

Worked Examples in Nonlinear Continuum Mechanics for Finite Element Analysis

Worked Examples in Nonlinear Continuum Mechanics for Finite Element Analysis
Author: Javier Bonet,Antonio J. Gil,Richard D. Wood
Publsiher: Cambridge University Press
Total Pages: 135
Release: 2012-08-02
Genre: Science
ISBN: 9781139561303

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Many processes in materials science and engineering, such as the load deformation behaviour of certain structures, exhibit nonlinear characteristics. The computer simulation of such processes therefore requires a deep understanding of both the theoretical aspects of nonlinearity and the associated computational techniques. This book provides a complete set of exercises and solutions in the field of theoretical and computational nonlinear continuum mechanics and is the perfect companion to Nonlinear Continuum Mechanics for Finite Element Analysis, where the authors set out the theoretical foundations of the subject. It employs notation consistent with the theory book and serves as a great resource to students, researchers and those in industry interested in gaining confidence by practising through examples. Instructors of the subject will also find the book indispensable in aiding student learning.