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Extended finite element method for crack propagation [[electronic resource] /] / Sylvie Pommier ... [et al.]
| Extended finite element method for crack propagation [[electronic resource] /] / Sylvie Pommier ... [et al.] |
| Pubbl/distr/stampa | London, U.K., : ISTE |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 620.1/1260151825 |
| Altri autori (Persone) | PommierSylvie |
| Collana | ISTE |
| Soggetto topico |
Fracture mechanics - Mathematics
Finite element method |
| ISBN |
1-118-62265-0
1-299-31564-X 1-118-62184-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Table of Contents; Foreword; Acknowledgements; List of Symbols; Introduction; Chapter 1. Elementary Concepts of Fracture Mechanics; 1.1. Introduction; 1.2. Superposition principle; 1.3. Modes of crack straining; 1.4. Singular fields at cracking point; 1.4.1. Asymptotic solutions in Mode I; 1.4.2. Asymptotic solutions in Mode II; 1.4.3. Asymptotic solutions in Mode III; 1.4.4. Conclusions; 1.5. Crack propagation criteria; 1.5.1. Local criterion; 1.5.2. Energy criterion; 1.5.2.1. Energy release rate G
1.5.2.2. Relationship between G and stress intensity factors1.5.2.3. How the crack is propagated; 1.5.2.4. Propagation velocity; 1.5.2.5. Direction of crack propagation; Chapter 2. Representation of Fixed and Moving Discontinuities; 2.1. Geometric representation of a crack: a scale problem; 2.1.1. Link between the geometric representation of the crack and the crack model; 2.1.2. Link between the geometric representation of the crack and the numerical method used for crack growth simulation; 2.2. Crack representation by level sets; 2.2.1. Introduction; 2.2.2. Definition of level sets 2.2.3. Level sets discretization2.2.4. Initialization of level sets; 2.3. Simulation of the geometric propagation of a crack; 2.3.1. Some examples of strategies for crack propagation simulation; 2.3.2. Crack propagation modeled by level sets; 2.3.3. Numerical methods dedicated to level set propagation; 2.4. Prospects of the geometric representation of cracks; Chapter 3. Extended Finite Element Method X-FEM; 3.1. Introduction; 3.2. Going back to discretization methods; 3.2.1. Formulation of the problem and notations; 3.2.2. The Rayleigh-Ritz approximation; 3.2.3. Finite element method 3.2.4. Meshless methods.3.2.5. The partition of unity; 3.3. X-FEM discontinuity modeling; 3.3.1. Introduction, case of a cracked bar; 3.3.1.1. Case a: crack positioned on a node; 3.3.1.2. Case b: crack between two nodes; 3.3.2. Variants; 3.3.3. Extension to two-dimensional and three-dimensional cases; 3.3.4. Level sets within the framework of the eXtended finite element method; 3.4. Technical and mathematical aspects; 3.4.1. Integration; 3.4.2. Conditioning; 3.5. Evaluation of the stress intensity factors; 3.5.1. The Eshelby tensor and the J integral; 3.5.2. Interaction integrals 3.5.3. Considering volumic forces3.5.4. Considering thermal loading; Chapter 4. Non-linear Problems, Crack Growth by Fatigue; 4.1. Introduction; 4.2. Fatigue and non-linear fracture mechanics; 4.2.1. Mechanisms of crack growth by fatigue; 4.2.1.1. Crack growth mechanism at low ΔKI; 4.2.1.2. Crack growth mechanisms at average or high ΔKI; 4.2.1.3. Macroscopic crack growth rate and striation formation; 4.2.1.4. Fatigue crack growth rate of long cracks, Paris law; 4.2.1.5. Brief conclusions; 4.2.2. Confined plasticity and consequences for crack growth; 4.2.2.1. Irwin's plastic zones 4.2.2.2. Role of the T stress |
| Record Nr. | UNINA-9910139240703321 |
| London, U.K., : ISTE | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Extended finite element method for crack propagation / / Sylvie Pommier ... [et al.]
| Extended finite element method for crack propagation / / Sylvie Pommier ... [et al.] |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | London, U.K., : ISTE |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 620.1/1260151825 |
| Altri autori (Persone) | PommierSylvie |
| Collana | ISTE |
| Soggetto topico |
Fracture mechanics - Mathematics
Finite element method |
| ISBN |
1-118-62265-0
1-299-31564-X 1-118-62184-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Table of Contents; Foreword; Acknowledgements; List of Symbols; Introduction; Chapter 1. Elementary Concepts of Fracture Mechanics; 1.1. Introduction; 1.2. Superposition principle; 1.3. Modes of crack straining; 1.4. Singular fields at cracking point; 1.4.1. Asymptotic solutions in Mode I; 1.4.2. Asymptotic solutions in Mode II; 1.4.3. Asymptotic solutions in Mode III; 1.4.4. Conclusions; 1.5. Crack propagation criteria; 1.5.1. Local criterion; 1.5.2. Energy criterion; 1.5.2.1. Energy release rate G
1.5.2.2. Relationship between G and stress intensity factors1.5.2.3. How the crack is propagated; 1.5.2.4. Propagation velocity; 1.5.2.5. Direction of crack propagation; Chapter 2. Representation of Fixed and Moving Discontinuities; 2.1. Geometric representation of a crack: a scale problem; 2.1.1. Link between the geometric representation of the crack and the crack model; 2.1.2. Link between the geometric representation of the crack and the numerical method used for crack growth simulation; 2.2. Crack representation by level sets; 2.2.1. Introduction; 2.2.2. Definition of level sets 2.2.3. Level sets discretization2.2.4. Initialization of level sets; 2.3. Simulation of the geometric propagation of a crack; 2.3.1. Some examples of strategies for crack propagation simulation; 2.3.2. Crack propagation modeled by level sets; 2.3.3. Numerical methods dedicated to level set propagation; 2.4. Prospects of the geometric representation of cracks; Chapter 3. Extended Finite Element Method X-FEM; 3.1. Introduction; 3.2. Going back to discretization methods; 3.2.1. Formulation of the problem and notations; 3.2.2. The Rayleigh-Ritz approximation; 3.2.3. Finite element method 3.2.4. Meshless methods.3.2.5. The partition of unity; 3.3. X-FEM discontinuity modeling; 3.3.1. Introduction, case of a cracked bar; 3.3.1.1. Case a: crack positioned on a node; 3.3.1.2. Case b: crack between two nodes; 3.3.2. Variants; 3.3.3. Extension to two-dimensional and three-dimensional cases; 3.3.4. Level sets within the framework of the eXtended finite element method; 3.4. Technical and mathematical aspects; 3.4.1. Integration; 3.4.2. Conditioning; 3.5. Evaluation of the stress intensity factors; 3.5.1. The Eshelby tensor and the J integral; 3.5.2. Interaction integrals 3.5.3. Considering volumic forces3.5.4. Considering thermal loading; Chapter 4. Non-linear Problems, Crack Growth by Fatigue; 4.1. Introduction; 4.2. Fatigue and non-linear fracture mechanics; 4.2.1. Mechanisms of crack growth by fatigue; 4.2.1.1. Crack growth mechanism at low ΔKI; 4.2.1.2. Crack growth mechanisms at average or high ΔKI; 4.2.1.3. Macroscopic crack growth rate and striation formation; 4.2.1.4. Fatigue crack growth rate of long cracks, Paris law; 4.2.1.5. Brief conclusions; 4.2.2. Confined plasticity and consequences for crack growth; 4.2.2.1. Irwin's plastic zones 4.2.2.2. Role of the T stress |
| Record Nr. | UNINA-9910808334803321 |
| London, U.K., : ISTE | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fracture mechanics of electromagnetic materials [[electronic resource] ] : nonlinear field theory and applications / / Xiaohong Chen, Yiu-Wing Mai
| Fracture mechanics of electromagnetic materials [[electronic resource] ] : nonlinear field theory and applications / / Xiaohong Chen, Yiu-Wing Mai |
| Autore | Chen Xiaohong |
| Pubbl/distr/stampa | London, : Imperial College Press |
| Descrizione fisica | 1 online resource (326 p.) |
| Disciplina |
620.1/126
620.1126 |
| Altri autori (Persone) | MaiY. W. <1946-> |
| Soggetto topico |
Fracture mechanics - Mathematics
Nonlinear theories Magnetic materials - Fracture |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-85062-1
1-84816-664-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Preface; Contents; List of Tables; List of Figures; Chapter 1: Fundamentals of Fracture Mechanics; 1.1 Historical Perspective; 1.2 Stress Intensity Factors (SIF); 1.3 Energy Release Rate (ERR); 1.4 J-Integral; 1.5 Dynamic Fracture; 1.6 Viscoelastic Fracture; 1.7 Essential Work of Fracture (EWF); 1.8 Configuration Force (Material Force) Method; 1.9 Cohesive Zone and Virtual Internal Bond Models; Chapter 2 : Elements of Electrodynamics of Continua; 2.1 Notations; 2.1.1 Eulerian and Lagrangian descriptions; 2.1.2 Electromagnetic field; 2.1.3 Electromagnetic body force and couple
2.1.4 Electromagnetic stress tensor and momentum vector2.1.5 Electromagnetic power; 2.1.6 Poynting theorem; 2.2 Maxwell Equations; 2.3 Balance Equations of Mass, Momentum, Moment of Momentum, and Energy; 2.4 Constitutive Relations; 2.5 Linearized Theory; Chapter 3 : Introduction to Thermoviscoelasticity; 3.1 Thermoelasticity; 3.2 Viscoelasticity; 3.3 Coupled Theory of Thermoviscoelasticity; 3.3.1 Fundamental principles of thermodynamics; 3.3.2 Formulation based on Helmholtz free energy functional; 3.3.3 Formulation based on Gibbs free energy functional 3.4 Thermoviscoelastic Boundary-Initial Value ProblemsChapter 4 : Overview on Fracture of Electromagnetic Materials; 4.1 Introduction; 4.2 Basic Field Equations; 4.3 General Solution Procedures; 4.4 Debates on Crack-Face Boundary Conditions; 4.5 Fracture Criteria; 4.5.1 Field intensity factors; 4.5.2 Path-independent integral; 4.5.3 Mechanical strain energy release rate; 4.5.4 Global and local energy release rates; 4.6 Experimental Observations; 4.6.1 Indentation test; 4.6.2 Compact tension test; 4.6.3 Bending test; 4.7 Nonlinear Studies; 4.7.1 Electrostriction/magnetostriction 4.7.2 Polarization/magnetization saturation4.7.3 Domain switching; 4.7.4 Domain wall motion; 4.8 Status and Prospects; Chapter 5 : Crack Driving Force in Electro-Thermo-Elastodynamic Fracture; 5.1 Introduction; 5.2 Fundamental Principles of Thermodynamics; 5.3 Energy Flux and Dynamic Contour Integral; 5.4 Dynamic Energy Release Rate Serving as Crack Driving Force; 5.5 Configuration Force and Energy-Momentum Tensor; 5.6 Coupled Electromechanical Jump/Boundary Conditions; 5.7 Asymptotic Near-Tip Field Solution; 5.8 Remarks Chapter 6 : Dynamic Fracture Mechanics of Magneto-Electro-Thermo-Elastic Solids6.1 Introduction; 6.2 Thermodynamic Formulation of Fully Coupled Dynamic Framework; 6.2.1 Field equations and jump conditions; 6.2.2 Dynamic energy release rate; 6.2.3 Invariant integral; 6.3 Stroh-Type Formalism for Steady-State Crack Propagation under Coupled Magneto-Electro-Mechanical Jump/Boundary Conditions; 6.3.1 Generalized plane crack problem; 6.3.2 Steady-state solution; 6.3.3 Path-independent integral for steady crack growth; 6.4 Magneto-Electro-Elastostatic Crack Problem as a Special Case; 6.5 Summary Chapter 7 : Dynamic Crack Propagation in Magneto-Electro-Elastic Solids |
| Record Nr. | UNINA-9910464790003321 |
Chen Xiaohong
|
||
| London, : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fracture mechanics of electromagnetic materials [[electronic resource] ] : nonlinear field theory and applications / / Xiaohong Chen, Yiu-Wing Mai
| Fracture mechanics of electromagnetic materials [[electronic resource] ] : nonlinear field theory and applications / / Xiaohong Chen, Yiu-Wing Mai |
| Autore | Chen Xiaohong |
| Pubbl/distr/stampa | London, : Imperial College Press |
| Descrizione fisica | 1 online resource (326 p.) |
| Disciplina |
620.1/126
620.1126 |
| Altri autori (Persone) | MaiY. W. <1946-> |
| Soggetto topico |
Fracture mechanics - Mathematics
Nonlinear theories Magnetic materials - Fracture |
| ISBN |
1-283-85062-1
1-84816-664-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Preface; Contents; List of Tables; List of Figures; Chapter 1: Fundamentals of Fracture Mechanics; 1.1 Historical Perspective; 1.2 Stress Intensity Factors (SIF); 1.3 Energy Release Rate (ERR); 1.4 J-Integral; 1.5 Dynamic Fracture; 1.6 Viscoelastic Fracture; 1.7 Essential Work of Fracture (EWF); 1.8 Configuration Force (Material Force) Method; 1.9 Cohesive Zone and Virtual Internal Bond Models; Chapter 2 : Elements of Electrodynamics of Continua; 2.1 Notations; 2.1.1 Eulerian and Lagrangian descriptions; 2.1.2 Electromagnetic field; 2.1.3 Electromagnetic body force and couple
2.1.4 Electromagnetic stress tensor and momentum vector2.1.5 Electromagnetic power; 2.1.6 Poynting theorem; 2.2 Maxwell Equations; 2.3 Balance Equations of Mass, Momentum, Moment of Momentum, and Energy; 2.4 Constitutive Relations; 2.5 Linearized Theory; Chapter 3 : Introduction to Thermoviscoelasticity; 3.1 Thermoelasticity; 3.2 Viscoelasticity; 3.3 Coupled Theory of Thermoviscoelasticity; 3.3.1 Fundamental principles of thermodynamics; 3.3.2 Formulation based on Helmholtz free energy functional; 3.3.3 Formulation based on Gibbs free energy functional 3.4 Thermoviscoelastic Boundary-Initial Value ProblemsChapter 4 : Overview on Fracture of Electromagnetic Materials; 4.1 Introduction; 4.2 Basic Field Equations; 4.3 General Solution Procedures; 4.4 Debates on Crack-Face Boundary Conditions; 4.5 Fracture Criteria; 4.5.1 Field intensity factors; 4.5.2 Path-independent integral; 4.5.3 Mechanical strain energy release rate; 4.5.4 Global and local energy release rates; 4.6 Experimental Observations; 4.6.1 Indentation test; 4.6.2 Compact tension test; 4.6.3 Bending test; 4.7 Nonlinear Studies; 4.7.1 Electrostriction/magnetostriction 4.7.2 Polarization/magnetization saturation4.7.3 Domain switching; 4.7.4 Domain wall motion; 4.8 Status and Prospects; Chapter 5 : Crack Driving Force in Electro-Thermo-Elastodynamic Fracture; 5.1 Introduction; 5.2 Fundamental Principles of Thermodynamics; 5.3 Energy Flux and Dynamic Contour Integral; 5.4 Dynamic Energy Release Rate Serving as Crack Driving Force; 5.5 Configuration Force and Energy-Momentum Tensor; 5.6 Coupled Electromechanical Jump/Boundary Conditions; 5.7 Asymptotic Near-Tip Field Solution; 5.8 Remarks Chapter 6 : Dynamic Fracture Mechanics of Magneto-Electro-Thermo-Elastic Solids6.1 Introduction; 6.2 Thermodynamic Formulation of Fully Coupled Dynamic Framework; 6.2.1 Field equations and jump conditions; 6.2.2 Dynamic energy release rate; 6.2.3 Invariant integral; 6.3 Stroh-Type Formalism for Steady-State Crack Propagation under Coupled Magneto-Electro-Mechanical Jump/Boundary Conditions; 6.3.1 Generalized plane crack problem; 6.3.2 Steady-state solution; 6.3.3 Path-independent integral for steady crack growth; 6.4 Magneto-Electro-Elastostatic Crack Problem as a Special Case; 6.5 Summary Chapter 7 : Dynamic Crack Propagation in Magneto-Electro-Elastic Solids |
| Record Nr. | UNINA-9910789345903321 |
|
Chen Xiaohong
|
||
| London, : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fracture mechanics of electromagnetic materials : nonlinear field theory and applications / / Xiaohong Chen, Yiu-Wing Mai
| Fracture mechanics of electromagnetic materials : nonlinear field theory and applications / / Xiaohong Chen, Yiu-Wing Mai |
| Autore | Chen Xiaohong |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | London, : Imperial College Press |
| Descrizione fisica | 1 online resource (326 p.) |
| Disciplina |
620.1/126
620.1126 |
| Altri autori (Persone) | MaiY. W. <1946-> |
| Soggetto topico |
Fracture mechanics - Mathematics
Nonlinear theories Magnetic materials - Fracture |
| ISBN |
1-283-85062-1
1-84816-664-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Preface; Contents; List of Tables; List of Figures; Chapter 1: Fundamentals of Fracture Mechanics; 1.1 Historical Perspective; 1.2 Stress Intensity Factors (SIF); 1.3 Energy Release Rate (ERR); 1.4 J-Integral; 1.5 Dynamic Fracture; 1.6 Viscoelastic Fracture; 1.7 Essential Work of Fracture (EWF); 1.8 Configuration Force (Material Force) Method; 1.9 Cohesive Zone and Virtual Internal Bond Models; Chapter 2 : Elements of Electrodynamics of Continua; 2.1 Notations; 2.1.1 Eulerian and Lagrangian descriptions; 2.1.2 Electromagnetic field; 2.1.3 Electromagnetic body force and couple
2.1.4 Electromagnetic stress tensor and momentum vector2.1.5 Electromagnetic power; 2.1.6 Poynting theorem; 2.2 Maxwell Equations; 2.3 Balance Equations of Mass, Momentum, Moment of Momentum, and Energy; 2.4 Constitutive Relations; 2.5 Linearized Theory; Chapter 3 : Introduction to Thermoviscoelasticity; 3.1 Thermoelasticity; 3.2 Viscoelasticity; 3.3 Coupled Theory of Thermoviscoelasticity; 3.3.1 Fundamental principles of thermodynamics; 3.3.2 Formulation based on Helmholtz free energy functional; 3.3.3 Formulation based on Gibbs free energy functional 3.4 Thermoviscoelastic Boundary-Initial Value ProblemsChapter 4 : Overview on Fracture of Electromagnetic Materials; 4.1 Introduction; 4.2 Basic Field Equations; 4.3 General Solution Procedures; 4.4 Debates on Crack-Face Boundary Conditions; 4.5 Fracture Criteria; 4.5.1 Field intensity factors; 4.5.2 Path-independent integral; 4.5.3 Mechanical strain energy release rate; 4.5.4 Global and local energy release rates; 4.6 Experimental Observations; 4.6.1 Indentation test; 4.6.2 Compact tension test; 4.6.3 Bending test; 4.7 Nonlinear Studies; 4.7.1 Electrostriction/magnetostriction 4.7.2 Polarization/magnetization saturation4.7.3 Domain switching; 4.7.4 Domain wall motion; 4.8 Status and Prospects; Chapter 5 : Crack Driving Force in Electro-Thermo-Elastodynamic Fracture; 5.1 Introduction; 5.2 Fundamental Principles of Thermodynamics; 5.3 Energy Flux and Dynamic Contour Integral; 5.4 Dynamic Energy Release Rate Serving as Crack Driving Force; 5.5 Configuration Force and Energy-Momentum Tensor; 5.6 Coupled Electromechanical Jump/Boundary Conditions; 5.7 Asymptotic Near-Tip Field Solution; 5.8 Remarks Chapter 6 : Dynamic Fracture Mechanics of Magneto-Electro-Thermo-Elastic Solids6.1 Introduction; 6.2 Thermodynamic Formulation of Fully Coupled Dynamic Framework; 6.2.1 Field equations and jump conditions; 6.2.2 Dynamic energy release rate; 6.2.3 Invariant integral; 6.3 Stroh-Type Formalism for Steady-State Crack Propagation under Coupled Magneto-Electro-Mechanical Jump/Boundary Conditions; 6.3.1 Generalized plane crack problem; 6.3.2 Steady-state solution; 6.3.3 Path-independent integral for steady crack growth; 6.4 Magneto-Electro-Elastostatic Crack Problem as a Special Case; 6.5 Summary Chapter 7 : Dynamic Crack Propagation in Magneto-Electro-Elastic Solids |
| Record Nr. | UNINA-9910827761903321 |
|
Chen Xiaohong
|
||
| London, : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
