The fiber bundle model : modeling failure in materials / / Alex Hansen, Per C. Hemmer, and Srutarshi Pradhan

• Record Nr.: UNINA9910131618303321
• Autore: Hansen Alex
• Pubbl/distr/stampa: Weinheim, Germany : , : Wiley-VCH, , 2015; ©2015
• ISBN: 3-527-67198-6; 3-527-67196-X; 3-527-67199-4
• Descrizione fisica: 1 online resource (295 p.)
• Collana: Statistical Physics of Fracture and Breakdown
• Disciplina: 514.224
• Soggetti: Fiber bundles (Mathematics); Fracture mechanics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""Related Titles""; ""Title Page""; ""Copyright""; ""Table of Contents""; ""Series Page""; ""Preface""; ""Chapter 1: The Fiber Bundle Model""; ""1.1 Rivets Versus Welding""; ""1.2 Fracture and Failure: A Short Summary""; ""1.3 The Fiber Bundle Model in Statistics""; ""1.4 The Fiber Bundle Model in Physics""; ""1.5 The Fiber Bundle Model in Materials Science""; ""1.6 Structure of the Book""; ""Chapter 2: Average Properties""; ""2.1 Equal Load Sharing versus Local Load Sharing""; ""2.2 Strain-Controlled versus Force-Controlled Experiments""; ""2.3 The Critical Strength""; ""2.4 Fiber Mixtures""; ""2.5 Non-Hookean Forces""""Chapter 3: Fluctuation Effects""; ""3.1 Range of Force Fluctuations""; ""3.2 The Maximum Bundle Strength""; ""3.3 Avalanches""; ""Chapter 4: Local and Intermediate Load Sharing""; ""4.1 The Local-Load-Sharing Model""; ""4.2 Local Load Sharing in Two and More Dimensions""; ""4.3 The Soft Membrane Model""; ""4.4 Intermediate-Load-Sharing Models""; ""4.5 Elastic Medium Anchoring""; ""Chapter 5: Recursive Breaking Dynamics""; ""5.1 Recursion and Fixed Points""; ""5.2 Recursive Dynamics Near the Critical Point""; ""Chapter 6: Predicting Failure""; ""6.1 Crossover Phenomena""""6.2 Variation of Average Burst Size""; ; ""6.3 Failure Dynamics Under Force-Controlled Loading""; ""6.4 Over-Loaded Situations""; ""Chapter 7: Fiber Bundle Model in Material Science""; ""7.1 Repeated Damage and Work Hardening""; ""7.2 Creep Failure""; ""7.3 Viscoelastic Creep""; ""7.4 Fatigue Failure""; ""7.5 Thermally Induced Failure""; ""7.6 Noise-Induced Failure""; ""7.7 Crushing: The Pillar Model""; ""Chapter 8: Snow Avalanches and Landslides""; ""8.1 Snow Avalanches""; ""8.2 Shallow Landslides""; ""Appendix A: Mathematical Toolbox""; ""A.1 Lagrange's Inversion Theorem""""A.2 Some Theorems in Combinatorics""; ""A.3 Biased Random Walks""; ""A.4 An Asymmetrical Unbiased Random Walk""; ""A.5 Brownian Motion as a Scaled Random Walk""; ""Appendix B: Statistical Toolbox""; ""B.1 Stochastic Variables, Statistical Distributions""; ""B.2 Order Statistics""; ""B.3 The Joint Probability Distribution""; ""Appendix C: Computational Toolbox""; ""C.1 Generating Random Numbers Following a Specified Probability Distribution""; ""C.2 Fourier Acceleration""; ""References""; ""Index""; ""End User License Agreement""