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Produktbild: Computational Methods for Plasticity

Computational Methods for Plasticity Theory and Applications

177,99 €

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

17.10.2008

Verlag

John Wiley & Sons Inc

Seitenzahl

816

Maße (L/B/H)

24,8/17,4/5 cm

Gewicht

1578 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-0-470-69452-7

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

17.10.2008

Verlag

John Wiley & Sons Inc

Seitenzahl

816

Maße (L/B/H)

24,8/17,4/5 cm

Gewicht

1578 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-0-470-69452-7

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: GPSR Kontakt

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Die Leseprobe wird geladen.
  • Produktbild: Computational Methods for Plasticity
  • Part One Basic concepts
    1 Introduction
    1.1 Aims and scope
    1.2 Layout
    1.3 General scheme of notation

    2 ELEMENTS OF TENSOR ANALYSIS
    2.1 Vectors
    2.2 Second-order tensors
    2.3 Higher-order tensors
    2.4 Isotropic tensors
    2.5 Differentiation
    2.6 Linearisation of nonlinear problems

    3 THERMODYNAMICS
    3.1 Kinematics of deformation
    3.2 Infinitesimal deformations
    3.3 Forces. Stress Measures
    3.4 Fundamental laws of thermodynamics
    3.5 Constitutive theory
    3.6 Weak equilibrium. The principle of virtual work
    3.7 The quasi-static initial boundary value problem

    4 The finite element method in quasi-static nonlinear solid mechanics
    4.1 Displacement-based finite elements
    4.2 Path-dependent materials. The incremental finite element procedure
    4.3 Large strain formulation
    4.4 Unstable equilibrium. The arc-length method

    5 Overview of the program structure
    5.1 Introduction
    5.2 The main program
    5.3 Data input and initialisation
    5.4 The load incrementation loop. Overview
    5.5 Material and element modularity
    5.6 Elements. Implementation and management
    5.7 Material models: implementation and management

    Part Two Small strains
    6 The mathematical theory of plasticity
    6.1 Phenomenological aspects
    6.2 One-dimensional constitutive model
    6.3 General elastoplastic constitutive model
    6.4 Classical yield criteria
    6.5 Plastic flow rules
    6.6 Hardening laws

    7 Finite elements in small-strain plasticity problems
    7.1 Preliminary implementation aspects
    7.2 General numerical integration algorithm for elastoplastic constitutive equations
    7.3 Application: integration algorithm for the isotropically hardening von Mises model
    7.4 The consistent tangent modulus
    7.5 Numerical examples with the von Mises model
    7.6 Further application: the von Mises model with nonlinear mixed hardening

    8 Computations with other basic plasticity models
    8.1 The Tresca model
    8.2 The Mohr-Coulomb model
    8.3 The Drucker-Prager model
    8.4 Examples

    9 Plane stress plasticity
    9.1 The basic plane stress plasticity problem
    9.2 Plane stress constraint at the Gauss point level
    9.3 Plane stress constraint at the structural level
    9.4 Plane stress-projected plasticity models
    9.5 Numerical examples
    9.6 Other stress-constrained states

    10 Advanced plasticity models
    10.1 A modified Cam-Clay model for soils
    10.2 A capped Drucker-Prager model for geomaterials
    10.3 Anisotropic plasticity: the Hill, Hoffman and Barlat-Lian models

    11 Viscoplasticity
    11.1 Viscoplasticity: phenomenological aspects
    11.2 One-dimensional viscoplasticity model
    11.3 A von Mises-based multidimensional model
    11.4 General viscoplastic constitutive model
    11.5 General numerical framework
    11.6 Application: computational implementation of a von Mises-based model
    11.7 Examples

    12 Damage mechanics
    12.1 Physical aspects of internal damage in solids
    12.2 Continuum damage mechanics
    12.3 Lemaitre's elastoplastic damage theory
    12.4 A simplified version of Lemaitre's model
    12.5 Gurson's void growth model
    12.6 Further issues in damage modelling

    Part Three Large strains
    13 Finite strain hyperelasticity
    13.1 Hyperelasticity: basic concepts
    13.2 Some particular models
    13.3 Isotropic finite hyperelasticity in plane stress
    13.4 Tangent moduli: the elasticity tensors
    13.5 Application: Ogden material implementation
    13.6 Numerical examples
    13.7 Hyperelasticity with damage: the Mullins effect

    14 Finite strain elastoplasticity
    14.1 Finite strain elastoplasticity: a brief review
    14.2 One-dimensional finite plasticity model
    14.3 General hyperelastic-based multiplicative plasticity model
    14.4 The general elastic predictor/return-mapping algorithm
    14.5 The consistent spatial tangent modulus
    14.6 Principal stress space-based implementation
    14.7 Finite plasticity in plane stress
    14.8 Finite viscoplasticity
    14.9 Examples
    14.10 Rate forms: hypoelastic-based plasticity models
    14.11 Finite plasticity with kinematic hardening

    15 Finite elements for large-strain incompressibility
    15.1 The F-bar methodology
    15.2 Enhanced assumed strain methods
    15.3 Mixed u/p formulations

    16 Anisotropic finite plasticity: Single crystals
    16.1 Physical aspects
    16.2 Plastic slip and the Schmid resolved shear stress
    16.3 Single crystal simulation: a brief review
    16.4 A general continuum model of single crystals
    16.5 A general integration algorithm
    16.6 An algorithm for a planar double-slip model
    16.7 The consistent spatial tangent modulus
    16.8 Numerical examples
    16.9 Viscoplastic single crystals

    Appendices
    A Isotropic functions of a symmetric tensor
    A.1 Isotropic scalar-valued functions
    A.1.1 Representation
    A.1.2 The derivative of anisotropic scalar function
    A.2 Isotropic tensor-valued functions
    A.2.1 Representation
    A.2.2 The derivative of anisotropic tensor function
    A.3 The two-dimensional case
    A.3.1 Tensor function derivative
    A.3.2 Plane strain and axisymmetric problems
    A.4 The three-dimensional case
    A.4.1 Function computation
    A.4.2 Computation of the function derivative
    A.5 A particular class of isotropic tensor functions
    A.5.1 Two dimensions
    A.5.2 Three dimensions
    A.6 Alternative procedures

    B The tensor exponential
    B.1 The tensor exponential function
    B.1.1 Some properties of the tensor exponential function
    B.1.2 Computation of the tensor exponential function
    B.2 The tensor exponential derivative
    B.2.1 Computer implementation
    B.3 Exponential map integrators
    B.3.1 The generalised exponential map midpoint rule

    C Linearisation of the virtual work
    C.1 Infinitesimal deformations
    C.2 Finite strains and deformations
    C.2.1 Material description
    C.2.2 Spatial description

    D Array notation for computations with tensors
    D.1 Second-order tensors
    D.2 Fourth-order tensors
    D.2.1 Operations with non-symmetric tensors

    References
    Index