The fiber bundle model : modeling failure in materials /: modeling failure in materials. (2015)
- Record Type:
- Book
- Title:
- The fiber bundle model : modeling failure in materials /: modeling failure in materials. (2015)
- Main Title:
- The fiber bundle model : modeling failure in materials
- Further Information:
- Note: Alex Hansen, Per Christian Hemmer, Srutarshi Pradhan.
- Authors:
- Hansen, Alex, 1955-
Hemmer, P. C (Per Christian), 1933-
Pradhan, Srutarshi - Contents:
- THE FIBER BUNDLE MODEL; Rivets Versus Welding; Fracture and Failure: A Short Summary; The Fiber Bundle Model in Statistics; The Fiber Bundle Model in Physics; The Fiber Bundle Model in Materials Science; Structure of the Book; ; AVERAGE PROPERTIES; Equal Load Sharing vs. Local Load Sharing; Strain-Controlled vs. Force-Controlled Experiments; The Critical Strength; Fiber Mixtures; Non-Hookean Forces; ; FLUCTUATION EFFECTS; Range of Force Fluctuations; The Maximum Bundle Strength; Avalanches; ; LOCAL AND INTERMEDIATE LOAD SHARING; The Local Load Sharing Model; Local Load Sharing in Two and More Dimensions; The Soft Membrane Model; Intermediate Load Sharing Models; Elastic Medium Anchoring; ; RECURSIVE BREAKING DYNAMICS; Recursion and Fixed Points; Recursive Dynamics Near the Critical Point; ; PREDICTING FAILURE; Crossover Phenomena; Variation of Average Burst Size; Failure Dynamics Under Force-Controlled Loading; Over-Loaded Situations; ; FIBER BUNDLE MODEL IN MATERIALS SCIENCE; Repeated Damage and Work Hardening; Creep Failure; Viscoelastic Creep; Fatigue Failure; Thermally Induced Failure; Noise-Induced Failure; Crushing: The Pillar Model; ; SNOW AVALANCHES AND LANDSLIDES; Snow Avalanches; Shallow Landslides; ; APPENDIX A: MATHEMATICAL TOOLBOX; Lagrange's Inversion Theorem; Some Theorems in Combinatorics; Biased Random Walks; An Asymmetrical Unbiased Random Walk; Brownian Motion as a Scaled Random Walk; ; APPENDIX B: STATISTICAL TOOLBOX; Stochastic Variables, StatisticalTHE FIBER BUNDLE MODEL; Rivets Versus Welding; Fracture and Failure: A Short Summary; The Fiber Bundle Model in Statistics; The Fiber Bundle Model in Physics; The Fiber Bundle Model in Materials Science; Structure of the Book; ; AVERAGE PROPERTIES; Equal Load Sharing vs. Local Load Sharing; Strain-Controlled vs. Force-Controlled Experiments; The Critical Strength; Fiber Mixtures; Non-Hookean Forces; ; FLUCTUATION EFFECTS; Range of Force Fluctuations; The Maximum Bundle Strength; Avalanches; ; LOCAL AND INTERMEDIATE LOAD SHARING; The Local Load Sharing Model; Local Load Sharing in Two and More Dimensions; The Soft Membrane Model; Intermediate Load Sharing Models; Elastic Medium Anchoring; ; RECURSIVE BREAKING DYNAMICS; Recursion and Fixed Points; Recursive Dynamics Near the Critical Point; ; PREDICTING FAILURE; Crossover Phenomena; Variation of Average Burst Size; Failure Dynamics Under Force-Controlled Loading; Over-Loaded Situations; ; FIBER BUNDLE MODEL IN MATERIALS SCIENCE; Repeated Damage and Work Hardening; Creep Failure; Viscoelastic Creep; Fatigue Failure; Thermally Induced Failure; Noise-Induced Failure; Crushing: The Pillar Model; ; SNOW AVALANCHES AND LANDSLIDES; Snow Avalanches; Shallow Landslides; ; APPENDIX A: MATHEMATICAL TOOLBOX; Lagrange's Inversion Theorem; Some Theorems in Combinatorics; Biased Random Walks; An Asymmetrical Unbiased Random Walk; Brownian Motion as a Scaled Random Walk; ; APPENDIX B: STATISTICAL TOOLBOX; Stochastic Variables, Statistical Distributions; Order Statistics; The Joint Probability Distribution; ; APPENDIX C: COMPUTATIONAL TOOLBOX; Generating Random Numbers Following a Specified Probability Distribution; Fourier Acceleration; ; Index … (more)
- Edition:
- 1st
- Publisher Details:
- Weinheim : Wiley-VCH
- Publication Date:
- 2015
- Extent:
- 1 online resource
- Subjects:
- 530.1595
Statistical physics
Statistical physics -- Mathematical models
Fiber bundles (Mathematics) - Languages:
- English
- ISBNs:
- 9783527671984
9783527671991
9783527671977 - Related ISBNs:
- 9783527412143
- Notes:
- Note: Description based on CIP data; item not viewed.
- Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.43271
- Ingest File:
- 02_004.xml