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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 | ||
| ||