Damage Mechanics in Metal Forming : Advanced Modeling and Numerical Simulation

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Damage Mechanics in Metal Forming : Advanced Modeling and Numerical Simulation / Khemais Saanouni, K. Saanouni

資料種別:

電子ブック

出版情報:

Wiley Online Library - AutoHoldings Books
Wiley-ISTE, 2012

著者名:

ISBN:

9781848213487 [1848213484]
9781118600870 [1118600878]

書誌ID:

OB00450541

子書誌情報

フルテキスト

所蔵情報

書誌詳細

言語:

英語

目次情報:

Preface

Principle of Mathematical Notations

Elements of Continuum Mechanics and Thermodynamics / Chapter 1：

Elements of kinematics and dynamics of materially simple continua / 1.1：

Homogeneous transformation and gradient of transformation / 1.1.1：

Homogeneous transformation / 1.1.1.1：

Gradient of transformation and its inverse / 1.1.1.2：

Polar decomposition of the transformation gradient / 1.1.1.3：

Transformation of elementary vectors, surfaces and volumes / 1.1.2：

Transformation of an elementary vector / 1.1.2.1：

Transformation of an elementary volume: the volume dilatation / 1.1.2.2：

Transformation of an oriented elementary surface / 1.1.2.3：

Various definitions of stretch, strain and strain rates / 1.1.3：

On some definitions of stretches / 1.1.3.1：

On some definitions of the strain tensors / 1.1.3.2：

Strain rates and rotation rates (spin) tensors / 1.1.3.3：

Volumic dilatation rate, relative extension rate and angular sliding rate / 1.1.3.4：

Various stress measures / 1.1.4：

Conjugate strain and stress measures / 1.1.5：

Change of referential or configuration and the concept of objectivity / 1.1.6：

Impact on strain and strain rates / 1.1.6.1：

Impact on stress and stress rates / 1.1.6.2：

Impact on the constitutive equations / 1.1.6.3：

Strain decomposition into reversible and irreversible parts / 1.1.7：

On the conservation laws for the materially simple continua / 1.2：

Conservation of mass: continuity equation / 1.2.1：

Principle of virtual power: balance equations / 1.2.2：

Energy conservation. First law of thermodynamics / 1.2.3：

Inequality of the entropy. Second law of thermodynamics / 1.2.4：

Fundamental inequalities of thermodynamics / 1.2.5：

Heat equation deducted from energy balance / 1.2.6：

Materially simple continuum thermodynamics and the necessity of constitutive equations / 1.3：

Necessity of constitutive equations / 1.3.1：

Some fundamental properties of constitutive equations / 1.3.2：

Principle of determinism or causality axiom / 1.3.2.1：

Principle of local action / 1.3.2.2：

Principle of objectivity or material indifference / 1.3.2.3：

Principle of material symmetry / 1.3.2.4：

Principle of consistency / 1.3.2.5：

Thermodynamic admissibility / 1.3.2.6：

Thermodynamics of irreversible processes. The local state method / 1.3.3：

A presentation of the local state method / 1.3.3.1：

Internal constraints / 1.3.3.2：

Mechanics of generalized continua. Micromorphic theory / 1.4：

Principle of virtual power for micromorphic continua / 1.4.1：

Thermodynamics of micromorphic continua / 1.4.2：

Thermomechanically-Consistent Modeling of the Metals Behavior with Ductile Damage / Chapter 2：

On the main schemes for modeling the behavior of materially simple continuous media / 2.1：

Behavior and fracture of metals and alloys: some physical and phenomenological aspects / 2.2：

On the microstructure of metals and alloys / 2.2.1：

Phenomenology of the thermomechanical behavior of polycrystals / 2.2.2：

Linear elastic behavior / 2.2.2.1：

Inelastic behavior / 2.2.2.2：

Inelastic behavior sensitive to the loading rate / 2.2.2.3：

Initial and induced anisotropies / 2.2.2.4：

Other phenomena linked to the shape of the loading paths / 2.2.2.5：

Phenomenology of the inelastic fracture of metals and alloys / 2.2.3：

Micro-defects nucleation / 2.2.3.1：

Micro-defects growth / 2.2.3.2：

Micro-defects coalescence and final fracture of the RVE / 2.2.3.3：

A first definition of the damage variable / 2.2.3.4：

From ductile damage at a material point to the total fracture of a structure by propagation of macroscopic cracks / 2.2.3.5：

Summary of the principal phenomena to be modeled / 2.2.4：

Theoretical framework of modeling and main hypotheses / 2.3：

The main kinematic hypotheses / 2.3.1：

Choice of kinematics and compliance with the principle of objectivity / 2.3.1.1：

Decomposition of strain rates / 2.3.1.2：

On some rotating frame choices / 2.3.1.3：

Implementation of the local state method and main mechanical hypotheses / 2.3.2：

Choice of state variables associated with phenomena being modeled / 2.3.2.1：

Definition of effective variables: damage effect functions / 2.3.2.2：

State potential: state relations / 2.4：

State potential in case of damage anisotropy / 2.4.1：

Formulation in strain space: Helmholtz free energy / 2.4.1.1：

Formulation in stress space: Gibbs free enthalpy / 2.4.1.2：

State potential in the case of damage isotropy / 2.4.2：

Microcracks closure: quasi-unilateral effect / 2.4.2.1：

Concept of micro-defect closure: deactivation of damage effects / 2.4.3.1：

State potential with quasi-unilateral effect / 2.4.3.2：

Dissipation analysis: evolution equations / 2.5：

Thermal dissipation analysis: generalized heat equation / 2.5.1：

Heat flux vector: Fourier linear conduction model / 2.5.1.1：

Generalized heat equation / 2.5.1.2：

Intrinsic dissipation analysis: case of time-independent plasticity / 2.5.2：

Damageable plastic dissipation: anisotropic damage with two yield surfaces / 2.5.2.1：

Damageable plastic dissipation: anisotropic damage with a single yield surface / 2.5.2.2：

Incompressible and damageable plastic dissipation: isotropic damage with two yield surfaces / 2.5.2.3：

Incompressible and damageable plastic dissipation: single yield surface / 2.5.2.4：

Intrinsic dissipation analysis: time-dependent plasticity or viscoplasticity / 2.5.3：

Damageable viscoplastic dissipation without restoration: anisotropic damage with two viscoplastic potentials / 2.5.3.1：

Viscoplastic dissipation with damage: isotropic damage with a single viscoplastic potential and restoration / 2.5.3.2：

Some remarks on the choice of rotating frames / 2.5.4：

Modeling some specific effects linked to metallic material behavior / 2.5.5：

Effects on non-proportional loading paths on strain hardening evolution / 2.5.5.1：

Strain hardening memory effects / 2.5.5.2：

Cumulative strains or ratchet effect / 2.5.5.3：

Yield surface and/or inelastic potential distortion / 2.5.5.4：

Viscosity-hardening coupling: the Piobert-Lüders peak / 2.5.5.5：

Accounting for the material microstructure / 2.5.5.6：

Some specific effects on ductile fracture / 2.5.5.7：

Modeling of the damage-induced volume variation / 2.6：

On the compressibility induced by isotropic ductile damage / 2.6.1：

Concept of volume damage / 2.6.1.1：

State coupling and state relations / 2.6.1.2：

Dissipation coupling and evolution equations / 2.6.1.3：

Modeling of the contact and friction between deformable solids / 2.7：

Kinematics and contact conditions between solids / 2.7.1：

Impenetrability condition / 2.7.1.1：

Equilibrium condition of contact interface / 2.7.1.2：

Contact surface non-adhesion condition / 2.7.1.3：

Contact unilaterality condition / 2.7.1.4：

On the modeling of friction between solids in contact / 2.7.2：

Time-independent friction model / 2.7.2.1：

Nonlocal modeling of damageable behavior of micromorphic continua / 2.8：

Principle of virtual power for a micromorphic medium: balance equations / 2.8.1：

State potential and state relations for a micromorphic solid / 2.8.2：

Dissipation analysis: evolution equations for a micromorphic solid / 2.8.3：

Continuous tangent operators and thermodynamic admissibility for a micromorphic solid / 2.8.4：

Transformation of micromorphic balance equations / 2.8.5：

On the micro-macro modeling of inelastic flow with ductile damage / 2.9：

Principle of the proposed meso-macro modeling scheme / 2.9.1：

Definition of the initial RVE / 2.9.2：

Localization stages / 2.9.3：

Constitutive equations at different scales / 2.9.4：

State potential and state relations / 2.9.4.1：

Intrinsic dissipation analysis: evolution equations / 2.9.4.2：

Homogenization and the mean values of fields at the aggregate scale / 2.9.5：

Summary of the meso-macro polycrystalline model / 2.9.6：

Numerical Methods for Solving Metal Forming Problems / Chapter 3：

Initial and boundary value problem associated with virtual metal forming processes / 3.1：

Strong forms of the initial and boundary value problem / 3.1.1：

Posting a fully coupled problem / 3.1.1.1：

Some remarks on thermal conditions at contact interfaces / 3.1.1.2：

Weak forms of the initial and boundary value problem / 3.1.2：

On the various weak forms of the IBVP / 3.1.2.1：

Weak form associated with equilibrium equations / 3.1.2.2：

Weak form associated with heat equation / 3.1.2.3：

Weak form associated with micromorphic damage balance equation / 3.1.2.4：

Summary of the fully coupled evolution problem / 3.1.2.5：

Temporal and spatial discretization of the IBVP / 3.2：

Time discretization of the IBVP / 3.2.1：

Spatial discretization of the IBVP by finite elements / 3.2.2：

Spatial semi-discretization of the weak forms of the IBVP / 3.2.2.1：

Examples of isoparametric finite elements / 3.2.2.2：

On some global resolution scheme of the IBVP / 3.3：

Implicit static global resolution scheme / 3.3.1：

Newton-Raphson scheme for the solution of the fully coupled IBVP / 3.3.1.1：

On some convergence criteria / 3.3.1.2：

Calculation of the various terms of the tangent matrix / 3.3.1.3：

The purely mechanical consistent Jacobian matrix / 3.3.1.4：

Implicit global resolution scheme of the coupled IBVP / 3.3.1.5：

Dynamic explicit global resolution scheme / 3.3.2：

Solution of the mechanical problem / 3.3.2.1：

Solution of thermal (parabolic) problem / 3.3.2.2：

Solution of micromorphic damage problem / 3.3.2.3：

Sequential scheme of explicit global resolution of the IBVP / 3.3.2.4：

Numerical handling of contact-friction conditions / 3.3.3：

Lagrange multiplier method / 3.3.3.1：

Penalty method / 3.3.3.2：

On the search for contact nodes / 3.3.3.3：

On the numerical handling of the incompressibility condition / 3.3.3.4：

Local integration scheme: state variables computation / 3.4：

On numerical integration using the Gauss method / 3.4.1：

Local integration of constitutive equations: computation of the stress tensor and the state variables / 3.4.2：

On the numerical integration of first-order ODEs / 3.4.2.1：

Choice of constitutive equations to integrate / 3.4.2.2：

Integration of time-independent plastic constitutive equations: the case of a von Mises isotropic yield criterion / 3.4.2.3：

Integration of time-independent plastic constitutive equations: the case of a Hill quadratic anisotropic yield criterion / 3.4.2.4：

Integration of the constitutive equation in the case of viscoplastic flow / 3.4.2.5：

Calculation of the rotation tensor: incremental objectivity / 3.4.2.6：

Remarks on the integration of the micromorphic damage equation / 3.4.2.7：

On the local integration of friction equations / 3.4.3：

Adaptive analysis of damageable elasto-inelastic structures / 3.5：

Adaptation of time steps / 3.5.1：

Adaptation of spatial discretization or mesh adaptation / 3.5.2：

On other spatial discretization methods / 3.6：

An outline of non-mesh methods / 3.6.1：

On the FEM-meshless methods coupling / 3.6.2：

Application to Virtual Metal Forming / Chapter 4：

Why use virtual metal forming? / 4.1：

Model identification methodology / 4.2：

Parametrical study of specific models / 4.2.1：

Choosing typical constitutive equations / 4.2.1.1：

Isothermal uniaxial tension (compression) load without damage / 4.2.1.2：

Accounting for ductile damage effect / 4.2.1.3：

Accounting for initial anisotropy in inelastic flow / 4.2.1.4：

Identification methodologies / 4.2.2：

Some general remarks on the issue of identification / 4.2.2.1：

Recommended identification methodology / 4.2.2.2：

Illustration of the identification methodology / 4.2.2.3：

Using a nonlocal model / 4.2.2.4：

Some applications / 4.3：

Sheet metal forming / 4.3.1：

Some deep drawing processes of thin sheets / 4.3.1.1：

Some hydro-bulging test of thin sheets and tubes / 4.3.1.2：

Cutting processes of thin sheets / 4.3.1.3：

Bulk metal forming processes / 4.3.2：

Classical bulk metal forming processes / 4.3.2.1：

Bulk metal forming processes under severe conditions / 4.3.2.2：

Toward the optimization of forming and machining processes / 4.4：

Appendix: Legendre-Fenchel Transformation

Bibliography

Index

Preface

Principle of Mathematical Notations

Elements of Continuum Mechanics and Thermodynamics / Chapter 1：

Elements of kinematics and dynamics of materially simple continua / 1.1：

Homogeneous transformation and gradient of transformation / 1.1.1：

Homogeneous transformation / 1.1.1.1：

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