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  • Preface xi Series Preface xiii Notation xv About the Code xxi PART I BASIC CONCEPTS AND SOLUTION TECHNIQUES 1 Preliminaries 3 1.1 A Simple Example of Non-linear Behaviour 3 1.2 A Review of Concepts from Linear Algebra 5 1.3 Vectors and Tensors 12 1.4 Stress and Strain Tensors 17 1.5 Elasticity 23 1.6 The PyFEM Finite Element Library 25 References 29 2 Non-linear Finite Element Analysis 31 2.1 Equilibrium and Virtual Work 31 2.2 Spatial Discretisation by Finite Elements 33 2.3 PyFEM: Shape Function Utilities 38 2.4 Incremental-iterative Analysis 41 2.5 Load versus Displacement Control 50 2.6 PyFEM: A Linear Finite Element Code with Displacement Control 53 References 62 3 Geometrically Non-linear Analysis 63 3.1 Truss Elements 64 3.2 PyFEM: The Shallow Truss Problem 76 3.3 Stress and Deformation Measures in Continua 85 3.4 Geometrically Non-linear Formulation of Continuum Elements 91 3.5 Linear Buckling Analysis 100 3.6 PyFEM: A Geometrically Non-linear Continuum Element 103 References 110 4 Solution Techniques in Quasi-static Analysis 113 4.1 Line Searches 113 4.2 Path-following or Arc-length Methods 116 4.3 PyFEM: Implementation of Riks' Arc-length Solver 124 4.4 Stability and Uniqueness in Discretised Systems 129 4.5 Load Stepping and Convergence Criteria 134 4.6 Quasi-Newton Methods 138 References 141 5 Solution Techniques for Non-linear Dynamics 143 5.1 The Semi-discrete Equations 143 5.2 Explicit Time Integration 144 5.3 PyFEM: Implementation of an Explicit Solver 149 5.4 Implicit Time Integration 152 5.5 Stability and Accuracy in the Presence of Non-linearities 156 5.6 Energy-conserving Algorithms 161 5.7 Time Step Size Control and Element Technology 164 References 165 PART II MATERIAL NON-LINEARITIES 6 Damage Mechanics 169 6.1 The Concept of Damage 169 6.2 Isotropic Elasticity-based Damage 171 6.3 PyFEM: A Plane-strain Damage Model 175 6.4 Stability, Ellipticity and Mesh Sensitivity 179 6.5 Cohesive-zone Models 185 6.6 Element Technology: Embedded Discontinuities 190 6.7 Complex Damage Models 198 6.8 Crack Models for Concrete and Other Quasi-brittle Materials 201 6.8.1 Elasticity-based Smeared Crack Models 201 6.8.2 Reinforcement and Tension Stiffening 206 6.9 Regularised Damage Models 210 References 215 7 Plasticity 219 7.1 A Simple Slip Model 219 7.2 Flow Theory of Plasticity 223 7.3 Integration of the Stress--strain Relation 239 7.4 Tangent Stiffness Operators 249 7.5 Multi-surface Plasticity 252 7.6 Soil Plasticity: Cam-clay Model 267 7.7 Coupled Damage--Plasticity Models 270 7.8 Element Technology: Volumetric Locking 271 References 277 8 Time-dependent Material Models 281 8.1 Linear Visco-elasticity 281 8.2 Creep Models 287 8.3 Visco-plasticity 289 References 303 PART III STRUCTURAL ELEMENTS 9 Beams and Arches 307 9.1 A Shallow Arch 307 9.2 PyFEM: A Kirchhoff Beam Element 317 9.3 Corotational Elements 321 9.4 A Two-dimensional Isoparametric Degenerate Continuum Beam Element 328 9.5 A Three-dimensional Isoparametric Degenerate Continuum Beam Element 333 References 341 10 Plates and Shells 343 10.1 Shallow-shell Formulations 344 10.2 An Isoparametric Degenerate Continuum Shell Element 351 10.3 Solid-like Shell Elements 356 10.4 Shell Plasticity: Ilyushin's Criterion 357 References 361 PART IV LARGE STRAINS 11 Hyperelasticity 365 11.1 More Continuum Mechanics 365 11.2 Strain Energy Functions 374 11.3 Element Technology 389 References 398 12 Large-strain Elasto-plasticity 401 12.1 Eulerian Formulations 402 12.2 Multiplicative Elasto-plasticity 407 12.3 Multiplicative Elasto-plasticity versus Rate Formulations 411 12.4 Integration of the Rate Equations 414 12.5 Exponential Return-mapping Algorithms 418 References 422 PART V ADVANCED DISCRETISATION CONCEPTS 13 Interfaces and Discontinuities 427 13.1 Interface Elements 428 13.2 Discontinuous Galerkin Methods 436 References 439 14 Meshless and Partition-of-unity Methods 441 14.1 Meshless Methods 442 14.2 Partition-of-unity Approaches 451 References 470 15 Isogeometric Finite Element Analysis 473 15.1 Basis Functions in Computer Aided Geometric Design 473 15.2 Isogeometric Finite Elements 483 15.3 PyFEM: Shape Functions for Isogeometric Analysis 487 15.4 Isogeometric Analysis in Non-linear Solid Mechanics 490 References 506 Index 509.
  • (source: Nielsen Book Data)9781118375938 20160608
Built upon the two original books by Mike Crisfield and their own lecture notes, renowned scientist Rene de Borst and his team offer a thoroughly updated yet condensed edition that retains and builds upon the excellent reputation and appeal amongst students and engineers alike for which Crisfield's first edition is acclaimed. Together with numerous additions and updates, the new authors have retained the core content of the original publication, while bringing an improved focus on new developments and ideas. This edition offers the latest insights in non-linear finite element technology, including non-linear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity. The authors' integrated and consistent style and unrivalled engineering approach assures this book's unique position within the computational mechanics literature. Key features: Combines the two previous volumes into one heavily revised text with obsolete material removed, an improved layout and updated references and notations Extensive new material on more recent developments in computational mechanics Easily readable, engineering oriented, with no more details in the main text than necessary to understand the concepts. Pseudo-code throughout makes the link between theory and algorithms, and the actual implementation. Accompanied by a website (www.wiley.com/go/deborst) with a Python code, based on the pseudo-code within the book and suitable for solving small-size problems. Non-linear Finite Element Analysis of Solids and Structures, 2nd Edition is an essential reference for practising engineers and researchers that can also be used as a text for undergraduate and graduate students within computational mechanics.
(source: Nielsen Book Data)9781118375938 20160608
dx.doi.org Wiley Online Library
eReserve
CEE-282-01
Book
1 online resource (xvi, 541 pages) : illustrations.
The best available guide to the elastic stability of large structures, this volume was co-authored by world-renowned authorities on engineering mechanics. It ranges from theoretical explanations of 2- and 3-D stress and strain to practical applications such as torsion, bending, thermal stress, and wave propagation through solids. Equally valuable as text or reference. 1961 edition.
eReserve
CEE-282-01
Book
xx, 460 p. : ill. ; 26 cm. 1 computer laser optical disc (4 3/4 in.).
  • Definitions and concepts-- formation of the global analysis equations-- stiffness analysis of frames - I-- stiffness analysis of frames - II-- virtual work principals-- virtual work principals in framework analysis-- nonlinear analysis of frames - an introduction-- geometric nonlinear and elastic critical load analysis-- material nonlinear analysis-- solution of linear algebraic equations-- solution of nonlinear equilibrium equations-- special analysis procedures. Appendixes: nonlinear analysis - a further look-- on rigid body motion and natural deformation.
  • (source: Nielsen Book Data)9780471129189 20160527
MASTAN2 is an interactive computer graphics program packaged with the Matrix Structural Analysis, 2/e text by William McGuire of Cornell University, Richard H. Gallagher of Clarkson University, and Ronald D. Ziemian of Bucknell University. The CD-ROM contains the MATLAB(R) based program MASTAN2. The program, developed by the authors of Matrix Structural Analysis, 2/e provides for graphically interactive structure definition, linear and nonlinear analysis, and display of results. It contains the option of including independently student-written analysis programs or modules. It has been designed to reinforce the text by providing a ready vehicle for applying the written material and visualizing the results. Software Features: * Includes Tutorial for self-instruction on use of the program. * Includes the MATLAB(R) Runtime Server so users without MATLAB can still use MASTAN2. * Preprocessing options include definition of structural geometry, element properties, supports, and loads.* Routines for first- and second-order elastic and inelastic static analysis of two- and three- dimensional frames and trusses are provided.* Postprocessing capabilities include the interpretation of structural behavior through deformation and force diagrams, graphical response curves, and printed output.* MASTAN2 has been written in modular format; users with access to MATLAB may develop and incorporate additional or alternative analysis routines.* The program's linear and nonlinear analysis routines are based on methods presented in Matrix Structural Analysis, 2nd Edition, by McGuire, Gallagher, and Ziemian. System/Application Requirements: * MASTAN2 is contained on an ISO-9660 formatted CD-ROM.* MASTAN2 requires 2.5 MB of free disk space and will run with the following versions of MATLAB.* MATLAB 5.3: PC Microsoft Windows 95, 98, or NT 4.0 and UNIX or Linux.* MATLAB 5.2: Macintosh.* Student Edition of MATLAB 5.0 or 5.3: Windows 95, 98, or NT 4.0 and Macintosh.* For users without access to MATLAB, the MATLAB Runtime Server 5.3 and a compatible version of MASTAN2 are included on the CD-ROM. Minimum system requirements include: * Microsoft Windows 95, 98, or NT 4.0 * Intel 486, Pentium, Pentium Pro or Pentium II based PC 16 MB RAM and 20 MB free disk space 8-bit graphics adapter and display (for 256 simultaneous colors).
(source: Nielsen Book Data)9780471352686 20160527
The second edition of this text covers: the basic concepts and procedures of linear analysis of frameworks by matrix methods; the underlying theories of elasticity; the principles of virtual work; and the application issues such as the solution of linear equations and the treatment of constraints. In addition, it accounts for changes in the use and the teaching of matrix structural analysis that have taken place in the 1980s and 1990s. It also incorporates advances in the art of analysis, that are regarded as suitable for use in structural engineering design practice now and of increasing importance in the years just ahead. Chief among these are an introduction to nonlinear frame analysis and an interactive computer graphics computer program. Included with the text is a CD-ROM containing the MATLAB computer graphics program MASTRAN2. The book contains both elementary and relatively advanced material.
(source: Nielsen Book Data)9780471129189 20160527
Engineering Library (Terman), SAL3 (off-campus storage), eReserve
CEE-282-01
Book
xiv, 392 p. : ill. ; 25 cm.
  • Preface.- Motivation. One Dimensional Plasticity and Viscoplasticity.- Classical Rate Independent Plasticity and Integration Algorithms for Plasticity and Viscoplasticity.- Discrete Variational Formulation and Finite Elementary Implementations Non-Smooth Multisurface Plasticity and Viscoplasticity.- Numerical Analysis of General Return Mapping Algorithms.- Nonlinear Continuum Mechanics and Phenomenological Plasticity Models.- Objective Integration Algorithms for Rate Formulations of Elastoplasticity.- Phenomenological Plasticity Models Based on the Notion of an Intermediate Stress Free Configuration.- Viscoelasticity.- References.- Index.
  • (source: Nielsen Book Data)9780387975207 20160528
This book describes the theoretical foundations of inelasticity, its numerical formulation and implementation. The subject matter described herein constitutes a representative sample of state-of-the-art methodology currently used in inelastic calculations. Among the numerous topics covered are small deformation plasticity and viscoplasticity, convex optimization theory, integration algorithms for the constitutive equation of plasticity and viscoplasticity, the variational setting of boundary value problems and discretization by finite element methods. Also addressed are the generalization of the theory to non-smooth yield surface, mathematical numerical analysis issues of general return mapping algorithms, the generalization to finite-strain inelasticity theory, objective integration algorithms for rate constitutive equations, the theory of hyperelastic-based plasticity models and small and large deformation viscoelasticity. "Computational Inelasticity" will be of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.
(source: Nielsen Book Data)9780387975207 20160528
Engineering Library (Terman), eReserve
CEE-282-01
Book
621 p. : ill. ; 26 cm.
  • CONTENTS: Nonlinear Bending and Vibration of Beams. Nonlinear Static and Dynamic Analysis of Plates. Nonlinear Analysis of Shells. Structures: Nonlinear Analysis. Nonlinear Analysis of Structures Composed of Composite Materials. Symbolic Computation. Books and Edited Volumes. Index.
  • (source: Nielsen Book Data)9780849396526 20160527
This book provides comprehensive treatment of the nonlinear behavior of various types of structural elements such as beams, frames, trusses, mechanisms, plates, shells, and sandwich and composite structural elements. Information is included on the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. The author has designed the book to strike a good balance between the mathematical and applied side of the topic. Many applications, examples, and problems are presented in the text.
(source: Nielsen Book Data)9780849396526 20160527
Engineering Library (Terman)
CEE-282-01
Book
xiv, 1037 p. : ill. ; 25 cm.
  • 1. An Introduction to the Use of Finite Element Procedures. 2. Vectors, Matrices and Tensors. 3. Some Basic Concepts of Engineering Analysis and an Introduction to the Finite Element Methods. 4. Formulation of the Finite Element Method -- Linear Analysis in Solid and Structural Mechanics. 5. Formulation and Calculation of Isoparametric Finite Element Matrices. 6. Finite Element Nonlinear Analysis in Solid and Structural Mechanics. 7. Finite Element Analysis of Heat Transfer, Field Problems, and Incompressible Fluid Flows. 8. Solution of Equilibrium Equations in State Analysis. 9. Solution of Equilibrium Equations in Dynamic Analysis. 10. Preliminaries to the Solution of Eigenproblems. 11. Solution Methods for Eigenproblems. 12. Implementation of the Finite Element Method. References. Index.
  • (source: Nielsen Book Data)9780133014587 20160527
For courses in finite element methods, finite element analysis taught in departments of Civil, Mechanical, Aerospace, Agriculture, and Mechanics departments. Course for which this book is appropriate is usually taught to seniors or graduate students.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.
(source: Nielsen Book Data)9780133014587 20160527
Engineering Library (Terman)
CEE-282-01
Book
xiii, 509 p. : ill. ; 24 cm. + 2 computer disks (3 1/2 in.)
Plastic Design of Steel Frames assesses the current status and future direction of computer-based analyses of inelastic strength and stability for direct frame design. It shows how design rules are used in practical frame design and provides an introduction to the second-order theory of inelastic frame design. The book includes two computer programs on a diskette: one for the first-order analyses and the other for the second-order plastic hinge analysis of planar frame design. The second-order program can be used to predict realistic strengths and stabilities of planar frames, thereby eliminating the tedious task of estimating factors for individual member capacity checks. Both programs include clear input instructions. The diskette also contains the Fortran source-code listing for the second-order plastic-hinge analysis, enabling the user to customise the program. The programs will run on an IBM PC-AT or equivalent machine with 640 kB of memory and 30 MB hard drive.
(source: Nielsen Book Data)9783540943143 20160528
Engineering Library (Terman), SAL3 (off-campus storage)
CEE-282-01
Book
xxxi, 579 p. : ill. ; 25 cm.
Nonlinear theories or finite elements have to be tested before they can be put into practice. Using the rigid body concept, this book provides simple rules for examining the validity of nonlinear theories and finite elements derived from structural members.
(source: Nielsen Book Data)9780131092242 20160527
Engineering Library (Terman)
CEE-282-01
Book
v. : ill. ; 25 cm.
  • General Introduction, Brief History and Introduction to Geometric N0n-Linearity. A Shallow Truss Element with Fortran Computer Program. Truss Elements and Solutions for Different Strain Measures. Basic Continuum Mechanics. Basic Finite Element Analysis of Continua. Basic Plasticity. Two-Dimensional Formulations for Beams and Rods. Shells. More Advanced Solution Procedures. Indexes.
  • (source: Nielsen Book Data)9780471929567 20160527
  • More Continuum Mechanics-- Non-orthogonal Co-ordinates and Co- and Contra- Variant Tensor Components-- More Finite Element Analysis of Continua-- Large-strains-- Hyperelasticity and Rubber-- More Plasticity and Other Material Non-linearity I-- More Plasticity and Other Material Non-linearity II-- Large Rotations-- 3-D Formulations for Beams and Rods-- More on Continuum and Shell Elements-- Large-strains and Plasticity-- Stability Theory-- Branch Switching and Further Advances Solution Procedures-- Examples from an Updated Non-linear Finite Element Computer Programme Using Truss Elements-- Contact with Friction-- Non-linear Dynamics.
  • (source: Nielsen Book Data)9780471956495 20160528
This detailed guide to the fundamentals of non-linear finite element analysis provides an engineering rather than a mathematical bias. Aimed at those who wish to use non-linear techniques to solve practical problems, it discusses the main ideas of geometric non-linearity and explores continuum mechanics, plasticity, element technology, and stability theory and solution procedures. The author also gives an introduction to recent research in this developing field. Many of the ideas considered are illustrated with a simple non-linear finite element computer program for which FORTRAN listings, data and subroutines are included. The logic can also be followed without this finer detail since these computer programs and subroutines are also represented by examples and flowcharts. The practical approach will appeal to professional engineers, researchers and senior undergraduate and graduate students in civil, structural, aeronautical and mechanical engineering.
(source: Nielsen Book Data)9780471929567 20160527
In fields such as aeronautical, civil, mechanical and structural engineering, non-linear analysis techniques are being widely used for the solving of practical engineering problems. With this in mind the author has selected an engineering rather than a mathematical bias. This second volume builds on the fundamental ideas of geometric non-linearity explained in Volume One, introducing the reader to more detailed, advanced topics. Continuum mechanics, plasticity and stability theory are covered in greater depth as it explores the research on non-linear finite elements. To supplement the text a set of programmes are available on the Internet via anonymous FTP.
(source: Nielsen Book Data)9780471956495 20160528
Engineering Library (Terman)
CEE-282-01
Book
xi, 380 p. : ill. ; 25 cm.
  • Preface. Notation. Analysis of Beam-Columns. Design of Beam-Columns. Second-Order Rigid Frame Analysis. Simplified Second-Order Rigid Frame Analysis. Behavior and Modeling of Semi-Rigid Connections. Analysis of Semi-Rigid Frames. Design of Semi-Rigid Frames. Index.
  • (source: Nielsen Book Data)9780849386060 20160527
Engineering Library (Terman)
CEE-282-01
Book
xvi, 541 p. illus. 24 cm.
Engineering Library (Terman)
CEE-282-01