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 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.

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.

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 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 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.

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.

The Finite Element Method for Solid and Structural Mechanics

The Finite Element Method for Solid and Structural Mechanics
Author: Olek C Zienkiewicz,Robert L Taylor
Publsiher: Elsevier
Total Pages: 736
Release: 2005-08-09
Genre: Technology & Engineering
ISBN: 9780080455587

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This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling

Non linear Modeling and Analysis of Solids and Structures

Non linear Modeling and Analysis of Solids and Structures
Author: Steen Krenk
Publsiher: Cambridge University Press
Total Pages: 349
Release: 2009-08-06
Genre: Mathematics
ISBN: 9780521830546

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This book presents a theoretical treatment of nonlinear behaviour of solids and structures in such a way that it is suitable for numerical computation, typically using the Finite Element Method. Starting out from elementary concepts, the author systematically uses the principle of virtual work, initially illustrated by truss structures, to give a self-contained and rigorous account of the basic methods. The author illustrates the combination of translations and rotations by finite deformation beam theories in absolute and co-rotation format, and describes the deformation of a three-dimensional continuum in material form. A concise introduction to finite elasticity is followed by an extension to elasto-plastic materials via internal variables and the maximum dissipation principle. Finally, the author presents numerical techniques for solution of the nonlinear global equations and summarises recent results on momentum and energy conserving integration of time-dependent problems. Exercises, examples and algorithms are included throughout.

Nonlinear Solid Mechanics for Finite Element Analysis Statics

Nonlinear Solid Mechanics for Finite Element Analysis  Statics
Author: Javier Bonet,Antonio J. Gil,Richard D. Wood
Publsiher: Cambridge University Press
Total Pages: 350
Release: 2016-06-23
Genre: Mathematics
ISBN: 9781107115798

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A clear and complete postgraduate introduction to the theory and computer programming for the complex simulation of material behavior.

Non Linear Finite Element Analysis of Solids and Structures Essentials

Non Linear Finite Element Analysis of Solids and Structures  Essentials
Author: M. A. Crisfield
Publsiher: Wiley
Total Pages: 362
Release: 1996-10-29
Genre: Mathematics
ISBN: 047197059X

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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/

Non Linear Finite Element Analysis of Solids and Structures Essentials

Non Linear Finite Element Analysis of Solids and Structures  Essentials
Author: M. A. Crisfield
Publsiher: John Wiley & Sons Incorporated
Total Pages: 362
Release: 1991-08-15
Genre: Mathematics
ISBN: UVA:X002310156

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This volume builds on the ideas of geometric non-linearity explained in Volume One. Continuum mechanics, plasticity and stability theory are covered in greater depth as it explores the research on non-linear finite elements. A supplementary set of programmes is available on the.

Finite Element Analysis of Solids and Structures

Finite Element Analysis of Solids and Structures
Author: Sudip S. Bhattacharjee
Publsiher: CRC Press
Total Pages: 340
Release: 2021-07-19
Genre: Technology & Engineering
ISBN: 9781000412307

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Finite Element Analysis of Solids and Structures combines the theory of elasticity (advanced analytical treatment of stress analysis problems) and finite element methods (numerical details of finite element formulations) into one academic course derived from the author’s teaching, research, and applied work in automotive product development as well as in civil structural analysis. Features Gives equal weight to the theoretical details and FEA software use for problem solution by using finite element software packages Emphasizes understanding the deformation behavior of finite elements that directly affect the quality of actual analysis results Reduces the focus on hand calculation of property matrices, thus freeing up time to do more software experimentation with different FEA formulations Includes chapters dedicated to showing the use of FEA models in engineering assessment for strength, fatigue, and structural vibration properties Features an easy to follow format for guided learning and practice problems to be solved by using FEA software package, and with hand calculations for model validation This textbook contains 12 discrete chapters that can be covered in a single semester university graduate course on finite element analysis methods. It also serves as a reference for practicing engineers working on design assessment and analysis of solids and structures. Teaching ancillaries include a solutions manual (with data files) and lecture slides for adopting professors.

Finite Element Method

Finite Element Method
Author: Michael R. Gosz
Publsiher: CRC Press
Total Pages: 400
Release: 2017-03-27
Genre: Technology & Engineering
ISBN: 9781420056556

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The finite element method (FEM) is the dominant tool for numerical analysis in engineering, yet many engineers apply it without fully understanding all the principles. Learning the method can be challenging, but Mike Gosz has condensed the basic mathematics, concepts, and applications into a simple and easy-to-understand reference. Finite Element Method: Applications in Solids, Structures, and Heat Transfer navigates through linear, linear dynamic, and nonlinear finite elements with an emphasis on building confidence and familiarity with the method, not just the procedures. This book demystifies the assumptions made, the boundary conditions chosen, and whether or not proper failure criteria are used. It reviews the basic math underlying FEM, including matrix algebra, the Taylor series expansion and divergence theorem, vectors, tensors, and mechanics of continuous media. The author discusses applications to problems in solid mechanics, the steady-state heat equation, continuum and structural finite elements, linear transient analysis, small-strain plasticity, and geometrically nonlinear problems. He illustrates the material with 10 case studies, which define the problem, consider appropriate solution strategies, and warn against common pitfalls. Additionally, 35 interactive virtual reality modeling language files are available for download from the CRC Web site. For anyone first studying FEM or for those who simply wish to deepen their understanding, Finite Element Method: Applications in Solids, Structures, and Heat Transfer is the perfect resource.