Holdings Information

Bibliographic Record Display

• Title:Non-linear finite element analysis of solids and structures.
  
•    
• Other Contributors/Collections:Borst, René de.
  Crisfield, M. A. Non-linear finite element analysis of solids and structures.
  
• Published/Created:Chichester, West Sussex : Wiley, 2012.
  

• Holdings

  Holdings Record Display

  • Location:WOODWARD LIBRARY stacksWhere is this?
    
  • Call Number: TA647 .C75 2012
    
  • Number of Items:1
    
  • Status:c.1 On loan - Due on 06-25-2024
    
  • Links:Donor bookplate
    

   
• Library of Congress Subjects:Structural analysis (Engineering)--Data processing.
  Finite element method--Data processing.
  
• Edition:2nd ed. / René de Borst ... [et al.].
  
• Description:xxiii, 516 pages : illustrations ; 25 cm.
  
• Series:Wiley series in computational mechanics.
  
• Summary:"The Finite Element Method (FEM) is a powerful technique originally developed for numerical solution of complex problems in structural mechanics, and it remains the method of choice for complex systems"-- Provided by publisher.
  
• Notes:Rev. ed. of: Non-linear finite element analysis of solids and structures / M.A. Crisfield. c1991-c1997. (2 v.)
  Includes bibliographical references and index.
  
• ISBN:9780470666449 (hardback)
  0470666447 (hardback)
  
• Contents:Machine generated contents note: pt. I BASIC CONCEPTS AND SOLUTION TECHNIQUES
  1. Preliminaries
  1.1. Simple Example of Non-linear Behaviour
  1.2. Review of Concepts from Linear Algebra
  1.3. Vectors and Tensors
  1.4. Stress and Strain Tensors
  1.5. Elasticity
  1.6. PyFEM Finite Element Library
  References
  2. Non-linear Finite Element Analysis
  2.1. Equilibrium and Virtual Work
  2.2. Spatial Discretisation by Finite Elements
  2.3. PyFEM: Shape Function Utilities
  2.4. Incremental-iterative Analysis
  2.5. Load versus Displacement Control
  2.6. PyFEM: A Linear Finite Element Code with Displacement Control
  References
  3. Geometrically Non-linear Analysis
  3.1. Truss Elements
  3.1.1. Total Lagrange Formulation
  3.1.2. Updated Lagrange Formulation
  3.1.3. Corotational Formulation
  3.2. PyFEM: The Shallow Truss Problem
  3.3. Stress and Deformation Measures in Continua
  3.4. Geometrically Non-linear Formulation of Continuum Elements
  3.4.1. Total and Updated Lagrange Formulations
  3.4.2. Corotational Formulation
  3.5. Linear Buckling Analysis
  3.6. PyFEM: A Geometrically Non-linear Continuum Element
  References
  4. Solution Techniques in Quasi-static Analysis
  4.1. Line Searches
  4.2. Path-following or Arc-length Methods
  4.3. PyFEM: Implementation of Riks' Arc-length Solver
  4.4. Stability and Uniqueness in Discretised Systems
  4.4.1. Stability of a Discrete System
  4.4.2. Uniqueness and Bifurcation in a Discrete System
  4.4.3. Branch Switching
  4.5. Load Stepping and Convergence Criteria
  4.6. Quasi-Newton Methods
  References
  5. Solution Techniques for Non-linear Dynamics
  5.1. Semi-discrete Equations
  5.2. Explicit Time Integration
  5.3. PyFEM: Implementation of an Explicit Solver
  5.4. Implicit Time Integration
  5.4.1. Newmark Family
  5.4.2. HHT α-method
  5.4.3. Alternative Implicit Methods for Time Integration
  5.5. Stability and Accuracy in the Presence of Non-linearities
  5.6. Energy-conserving Algorithms
  5.7. Time Step Size Control and Element Technology
  References
  pt. II MATERIAL NON-LINEARITIES
  6. Damage Mechanics
  6.1. Concept of Damage
  6.2. Isotropic Elasticity-based Damage
  6.3. PyFEM: A Plane-strain Damage Model
  6.4. Stability, Ellipticity and Mesh Sensitivity
  6.4.1. Stability and Ellipticity
  6.4.2. Mesh Sensitivity
  6.5. Cohesive-zone Models
  6.6. Element Technology: Embedded Discontinuities
  6.7. Complex Damage Models
  6.7.1. Anisotropic Damage Models
  6.7.2. Microplane Models
  6.8. Crack Models for Concrete and Other Quasi-brittle Materials
  6.8.1. Elasticity-based Smeared Crack Models
  6.8.2. Reinforcement and Tension Stiffening
  6.9. Regularised Damage Models
  6.9.1. Non-local Damage Models
  6.9.2. Gradient Damage Models
  References
  7. Plasticity
  7.1. Simple Slip Model
  7.2. Flow Theory of Plasticity
  7.2.7. Yield Function
  7.2.2. Flow Rule
  7.2.3. Hardening Behaviour
  7.3. Integration of the Stress-strain Relation
  7.4. Tangent Stiffness Operators
  7.5. Multi-surface Plasticity
  7.5.7. Koiter's Generalisation
  7.5.2. Rankine Plasticity for Concrete
  7.5.3. Tresca and Mohr-Coulomb Plasticity
  7.6. Soil Plasticity: Cam-clay Model
  7.7. Coupled Damage-Plasticity Models
  7.8. Element Technology: Volumetric Locking
  References
  8. Time-dependent Material Models
  8.1. Linear Visco-elasticity
  8.7.7. One-dimensional Linear Visco-elasticity
  8.1.2. Three-dimensional Visco-elasticity
  8.1.3. Algorithmic Aspects
  8.2. Creep Models
  8.3. Visco-plasticity
  8.3.1. One-dimensional Visco-plasticity
  8.3.2. Integration of the Rate Equations
  8.3.3. Perzyna Visco-plasticity
  8.3.4. Duvaut-Lions Visco-plasticity
  8.3.5. Consistency Model
  8.3.6. Propagative or Dynamic Instabilities
  References
  pt. III STRUCTURAL ELEMENTS
  9. Beams and Arches
  9.1. Shallow Arch
  9.1.1. Kirchhoff Formulation
  9.1.2. Including Shear Deformation: Timoshenko Beam
  9.2. PyFEM: A Kirchhoff Beam Element
  9.3. Corotational Elements
  9.3.1. Kirchhoff Theory
  9.3.2. Timoshenko Beam Theory
  9.4. Two-dimensional Isoparametric Degenerate Continuum Beam Element
  9.5. Three-dimensional Isoparametric Degenerate Continuum Beam Element
  References
  10. Plates and Shells
  10.1. Shallow-shell Formulations
  10.2. Isoparametric Degenerate Continuum Shell Element
  10.3. Solid-like Shell Elements
  10.4. Shell Plasticity: Ilyushin's Criterion
  References
  pt. IV LARGE STRAINS
  11. Hyperelasticity
  11.1. More Continuum Mechanics
  11.1.1. Momentum Balance and Stress Tensors
  11.1.2. Objective Stress Rates
  11.1.3. Principal Stretches and Invariants
  11.2. Strain Energy Functions
  11.2.1. Incompressibility and Near-incompressibility
  11.2.2. Strain Energy as a Function of Stretch Invariants
  11.2.3. Strain Energy as a Function of Principal Stretches
  11.2.4. Logarithmic Extension of Linear Elasticity: Hencky Model
  11.3. Element Technology
  11.3.1. u I p Formulation
  11.3.2. Enhanced Assumed Strain Elements
  11.3.3. F-bar Approach
  11.3.4. Corotational Approach
  References
  12. Large-strain Elasto-plasticity
  12.1. Eulerian Formulations
  12.2. Multiplicative Elasto-plasticity
  12.3. Multiplicative Elasto-plasticity versus Rate Formulations
  12.4. Integration of the Rate Equations
  12.5. Exponential Return-mapping Algorithms
  References
  pt. V ADVANCED DISCRETISATION CONCEPTS
  13. Interfaces and Discontinuities
  13.1. Interface Elements
  13.2. Discontinuous Galerkin Methods
  References
  14. Meshless and Partition-of-unity Methods
  14.1. Meshless Methods
  14.1.1. Element-free Galerkin Method
  14.1.2. Application to Fracture
  14.1.3. Higher-order Damage Mechanics
  14.1.4. Volumetric Locking
  14.2. Partition-of-unity Approaches
  14.2.1. Application to Fracture
  14.2.2. Extension to Large Deformations
  14.2.3. Dynamic Fracture
  14.2.4. Weak Discontinuities
  References
  15. Isogeometric Finite Element Analysis
  15.1. Basis Functions in Computer Aided Geometric Design
  15.1.1. Univariate B-splines
  15.1.2. Univariate NURBS
  15.1.3. Multivariate B-splines and NURBS Patches
  15.1.4. T-splines
  15.2. Isogeometric Finite Elements
  15.2.1. Bezier Element Representation
  15.2.2. Bezier Extraction
  15.3. PyFEM: Shape Functions for Isogeometric Analysis
  15.4. Isogeometric Analysis in Non-linear Solid Mechanics
  15.4.1. Design-through-analysis of Shell Structures
  15.4.2. Higher-order Damage Models
  15.4.3. Cohesive Zone Models
  References.