عنوان

Extended finite element method :

(Number (ISBN

1118457684

(Number (ISBN

1118869680 (ePub)

(Number (ISBN

1118869699 (Adobe PDF)

(Number (ISBN

9781118457689

(Number (ISBN

9781118869680 (ePub)

(Number (ISBN

9781118869697 (Adobe PDF)

Erroneous ISBN

1118869672

Erroneous ISBN

9781118457689 (cloth)

Erroneous ISBN

9781118869673

Number

dltt

Title Proper

Extended finite element method :

General Material Designation

[Book]

Other Title Information

theory and applications /

First Statement of Responsibility

Amir R. Khoei

Date

1502

Specific Material Designation and Extent of Item

1 online resource

Series Title

Wiley series in computational mechanics

Text of Note

Includes bibliographical references and index

Text of Note

Field -- Discretization of Governing Equations -- Cohesive Crack Growth Based on the Stress Criterion -- Cohesive Constitutive Law -- Crack Growth Criterion and Crack Growth Direction -- Numerical Integration Scheme -- Cohesive Crack Growth Based on the SIP Criterion -- The Enrichment of Displacement Field -- The Condition for Smooth Crack Closing -- Crack Growth Criterion and Crack Growth Direction -- Cohesive Crack Growth Based on the Cohesive Segments Method -- The Enrichment of Displacement Field -- Cohesive Constitutive Law -- Crack Growth Criterion and Its Direction for Continuous Crack Propagation -- Crack Growth Criterion and Its Direction for Discontinuous Crack Propagation -- Numerical Integration Scheme -- Application of X-FEM Method in Cohesive Crack Growth -- A Three-Point Bending Beam with Symmetric Edge Crack -- A Plate with an Edge Crack under Impact Velocity -- A Three-Point Bending Beam with an Eccentric Crack -- Ductile Fracture Mechanics with a Damage-Plasticity Model in X-FKM -- Introduction -- Large FE Deformation Formulation -- Modified X-FEM Formulation -- Large X-FI-M Deformation Formulation -- The Damage-Plasticity Model -- The Nonlocal Gradient Damage Plasticity -- Ductile Fracture with X-FEM Plasticity Model -- Ductile Fracture with X-FEM Non-Local Damage-Plasticity Model -- Crack Initiation and Crack Growth Direction -- Crack Growth with a Null Step Analysis -- Crack Growth with a Relaxation Phase Analysis -- Locking Issues in Crack Growth Modeling -- Application of X-FEM Damage-Plasticity Model -- The Kecking Problem -- The CT Test -- The Double Notched Specimen -- Dynamic Large X-FKM Deformation Formulation -- The Dynamic X-FEM Discretization -- The Large Strain Model -- The Contact Friction Model -- The Time Domain Discretization: The Dynamic Explicit Central Difference Method -- Implementation of Dynamic X-FFM Damage-Plasticity Model -- A Plate with an Inclined Crack -- The Low Cycle Fatigue Test -- The Cyclic CT Test -- The Double Notched Specimen in Cyclic Loading -- X-FKM Modeling of Saturated/Semi-Saturated Porous Media -- Introduction -- Governing Equations of Dcformable Porous Media -- The X-PF.M Formulation of Deformable Porous Media with Weak Discontinuities -- Approximation of Displacement and Pressure Fields -- Vie X-FEM Spatial Discretization -- The Time Domain Discretization and Solution Procedure -- Numerical Integration Scheme -- Application of the X-FEM Method in Deformable Porous Media with Arbitrary Interfaces -- An Elastic Soil Column -- An Elastic Foundation -- Modeling Hydraulic Fracture Propagation in Deformable Porous Media -- Governing Equations of a Fractured Porous Medium -- The Weak Formulation of a Fractured Porous Medium -- The X-FEM Formulation of Deformable Porous Media with Strong Discontinuities --

Text of Note

Introduction -- Introduction -- An Enriched Finite Element Method -- A Review on X-FEM: Development and Applications -- Coupling X-FEM with the Level-Set Method -- Linear Elastic Fracture Mechanics (LEFM) -- Cohesive Fracture Mechanics -- Composite Materials and Material Inhomogeneities -- Plasticity, Damage, and Fatigue Problems -- Shear Band Localization -- Fluid-Structure Interaction -- Fluid Flow in Fractured Porous Media -- Fluid Flow and Fluid Mechanics Problems -- Phase Transition and Solidification -- Thermal and Thermo-Mechanical Problems -- Plates and Shells -- Contact Problems -- Topology Optimization -- Piezoelectric and Magneto-Electroelastic Problems -- Multi-Scale Modeling -- Extended Finite Element Formulation -- Introduction -- The Partition of Unity Finite Element Method -- The Enrichment of Approximation Space -- Intrinsic Enrichment -- Extrinsic Enrichment -- The Basis of X-FEM Approximation -- The Signed Distance Function -- The Heaviside Function -- Blending Elements -- Governing Equation of a Body with Discontinuity -- The Divergence Theorem for Discontinuous Problems -- The Weak form of Governing Equation -- The X-FEM Discretization of Governing Equation -- Numerical Implementation of X-FEM Formulation -- Numerical Integration Algorithm -- Application of X-FEM in Weak and Strong Discontinuities -- Modeling an Elastic Bar with a Strong Discontinuity -- Modeling an Elastic Bar with a Weak Discontinuity -- Modeling an Elastic Plate with a Crack Interface at its Center -- Modeling an Elastic Plate with a Material Interface at its Center -- Higher Order X-FEM -- Implementation of X-FEM with Higher Order Elements -- Higher Order X-FEM Modeling of a Plate with a Material Interface -- Higher Order X-FEM Modeling of a Plate with a Curved Crack Interface -- Enrichment Elements -- Introduction -- Tracking Moving Boundaries -- Level Set Method -- Numerical Implementation of LSM -- Coupling the LSM with X-FEM -- Fast Marching Method -- Coupling the FMM with X-FEM -- X-FEM Enrichment Functions -- Bimuterials, Voids, and Inclusions -- Strong Discontinuities and Crack Interfaces -- Brittle Cracks -- Cohesive Cracks -- Plastic Fracture Mechanics -- Multiple Cracks -- Fracture in Bimaterial Problems -- Polycrystalline Microstructure -- Dislocations -- Shear Band Localization -- Blending Elements -- Introduction -- Convergence Analysis in the X-FEM -- Ill-Conditioning in the X-FEM Method -- One-Dimensional Problem with Material Interface -- Blending Strategies in X-FEM -- Enhanced Strain Method -- An Enhanced Strain Blending Element for the Ramp Enrichment Function -- An Enhanced Strain Blending Element for Asymptotic Enrichment Functions -- The Hierarchical Method -- A Hierarchical Blending Element for Discontinuous Gradient Enrichment -- A Hierarchical Blending Element for Crack Tip Asymptotic Enrichments -- The Cutoff Function Method -- The Weighted Function Blending Method -- A Variant of the Cutoff Function Method -- A DG X-FEM Method -- Implementation of Some Optimal X-FEM Type Methods -- A Plate with a Circular Hole at Its Centre -- A Plate with a Horizontal Material Interface -- The Finer Reinforced Concrete in Uniaxial Tension -- Pre-Conditioning Strategies in X-FEM -- Béchet's Pre Conditioning Scheme -- Menk-Hordas Pre-Conditioning Scheme -- Large X-FEM Deformation -- Introduction -- Large FE reformation -- The Lagrangian Large X-FEM Deformation Method -- The Enrichment of Displacement Field -- The Large X-FEM Deformation Formulation -- Numerical Integration Scheme -- Numerical Modeling of Large X-FEM Deformations -- Modeling an Axial liar with a Weak Discontinuity -- Modeling a Plate with the Material Interface -- Application of X-FEM in Large Deformation Problems -- Die-Pressing with a Horizontal Material Interface -- Die-Pressing with a Rigid Central Core -- Closed Die Pressing of a Shaped-Tablet Component -- The Extended Arbitrary Lagrangian-Eulerian FEM -- ALE Formulation -- Kinematics -- ALE Governing Equations -- The Weak Form of ALE Formulation -- The AIM FE Discretization -- The Uncoupled ALE Solution -- Material (Lagrangian) Phase -- Smoothing Pluise -- Convection (Eulerian) Phase -- The X-ALE-FEM Computational Algorithm -- Level Set Update -- Stress Update with Sub-Triangular Numerical Integration -- Stress Update with Sub-Quadrilateral Numerical Integration -- Application of the X-ALE-FEM Model -- The Coining Test -- A Plate in Tension -- Contact Friction Modeling with X-FEM -- Introduction -- Continuum Model of Contact Friction -- Contact Conditions: The Kuhn Tucker Rule -- Plasticity Theory of Friction -- Continuum Tangent Matrix of Contact Problem -- X FFM Modeling of the Contact Problem -- The Gauss-Green Theorem for Discontinuous Problems -- The Weak Form of Governing Equation for a Contact Problem -- The Enrichment of Displacement Field -- Modeling of Contact Constraints via the Penalty Method -- Modeling of an Elastic Bar with a Discontinuity at Its Center -- Modeling of an Elastic Plate with a Discontinuity at Its Center -- Modeling of Contact Constraints via the Lagrange Multipliers Method -- Modeling the Discontinuity in an Elastic Bar -- Modeling the Discontinuity in an Elastic Plate -- Modeling of Contact Constraints via the Augmented-Lagrange Multipliers Method 241 6.6.! Modeling an Elastic Bar with a Discontinuity -- Modeling an Elastic Plate with a Discontinuity -- X-FEM Modeling of Large Sliding Contact Problems -- Large Sliding with Horizontal Material Interfaces -- Application of X-FEM Method in Frictional Contact Problems -- An Elastic Square Plate with Horizontal Interface -- Imposing the Unilateral Contact Constraint -- Modeling the Frictional Stick-Slip Behavior -- A Square Plate with an Inclined. Crack -- A Double-Clamped Beam with a Central Crack -- A Rectangular Block with an S-Shaped Frictional Contact Interface -- Linear Fracture Mechanics with the X-FEM Technique -- Introduction -- The Basis of LEFM -- Energy Balance in Crack Propagation -- Displacement and Stress Fields at the Crack Tip Area -- The SIFs -- Governing Equations of a Cracked Body -- The Enrichment of Displacement Field -- Discretization of Governing Equations -- Mixed-Mode Crack Propagation Criteria -- The Maximum Circumferential Tensile Stress Criterion -- The Minimum Strain Energy Density Criterion -- The Maximum Energy Release Rate -- Crack Growth Simulation with X-FEM -- Numerical Integration Scheme -- Numerical Integration of Contour J-Integral -- Application of X-FEM in Linear Fracture Mechanics -- X-FEM Modeling of a DCB -- An Infinite Plate with a Finite Crack in Tension -- An Infinite Plate with an Inclined Crack -- A Plate with Two Holes and Multiple Cracks -- Curved Crack Modeling with X-FEM -- Modeling a Curved Center Crack in an Infinite Plate -- X-FEM Modeling of a Bimaterial Interface Crack -- The Interfacial Fracture Mechanics -- The Enrichment of the Displacement Field -- Modeling of a Center Crack in an Infinite Bimaterial Plate -- Cohesive Crack Growth with the X-FEM Technique -- Introduction -- Governing Equations of a Cracked Body -- The Enrichment of Displacement.

Text of Note

Approximation of the Displacement and Pressure Fields -- Die X-FEM Spatial Discretization -- The Time Donutin Discretization and Solution Procedure -- Alternative Approaches to Fluid Row Simulation within the Fracture -- A Partitioned Solution Algorithm for Interfacial Pressure -- A Time Dependent Constant Pressure Algorithm -- Application of the X-FEM Method in Hydraulic Fracture Propagation of Saturated Porous Media -- An Infinite Saturated Porous Medium with an Inclined Crack -- Hydraulic Fracture Propagation in an Infinite Poroelastic Medium -- Hydraulic Fracturing in a Concrete Gravity Dam -- X-FEM Modeling of Contact Behavior in Fractured Porous Media -- Contact Behavior in a Fractured Medium -- X-FFM Formulation of Contact along the Fracture -- Consolidation of a Porous Block with a Vertical Discontinuity -- Hydraulic Fracturing in Multi-Phase Porous Media with X-FEM -- Introduction -- The Physical Model of Multi-Phase Porous Media -- Governing Equations of Multi-Phase Porous Medium -- The X-FEM Formulation of Multi-Phase Porous Media with Weak Discontinuities -- Approximation of the Primary Variables -- Discretization of Equilibrium and Flow Continuity Equations -- Solution Procedure of Discretized Equilibrium Equations -- Application of X-FEM Method in Multi-Phase Porous Media with Arbitrary Interfaces -- The X-FEM Formulauon for Hydraulic Fracturing in Multi-Phase Porous Media -- Discretization of Multi-Phase Governing Equations with Strong Discontinuities -- Solution Procedure for Fully Coupled Nonlinear Equations -- Computational Note? in Hydraulic Fracture Modeling -- Application of the X-FEM Method to Hydraulic fracture Propagation of Multi Phase Porous Media -- Thermo-Hydro Mechanical Modeling of Porous Media with X-FEM -- Introduction -- THM Governing Equations of Saturated Porous Media -- Discontinuities in a THM Medium -- The X-FEM Formulation of THM Governing Equations -- Approximation of Displacement, Pressure, and Temperature Fields -- The X-FEM Spatial Discretization -- The Time Domain Discretization -- Application of the X-FEM Method to THM Behavior of Porous Media -- A Plate with an Inclined Crack in Thermal Loading -- A Plate with an Edge Crack in Thermal Loading -- An Impermeable Discontinuity in Saturated Porous Media -- An Inclined Fault in Porous Media

0

0

8

Title

Extended finite element method

International Standard Book Number

9781118457689

Parallel Title

Finite element method

Finite element method.

Numerical analysis.

TEC-- 009000

TEC-- 035000

Number

Edition

Class number

Khoei, Amir R.

Ohio Library and Information Network.

Date of Transaction

20160603090456.8

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y