| Description |
1 online resource (347 pages) |
| Series |
Statistical Physics of Fracture and Breakdown |
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Statistical physics of fracture and breakdown.
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| Contents |
Cover; Title Page; Copyright; Contents; Series Editors' Preface; Preface; Notations; Chapter 1 Introduction; Chapter 2 Mechanical and Fracture Properties of Solids; 2.1 Mechanical Response in Materials; 2.1.1 Elastic and Plastic Regions; 2.1.2 Linear Elastic Region; 2.1.3 Nonlinear Plastic Region; 2.2 Ductile, Quasi-brittle, and Brittle Materials; 2.3 Ductile and Brittle Fracture; 2.3.1 Macroscopic Features of Ductile and Brittle Fractures; 2.3.2 Microscopic Features of Ductile and Brittle Fractures; Chapter 3 Crystal Defects and Disorder in Lattice Models; 3.1 Point Defects; 3.2 Line Defects |
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3.3 Planar Defects3.4 Lattice Defects: Percolation Theory; 3.5 Summary; Chapter 4 Nucleation and Extreme Statistics in Brittle Fracture; 4.1 Stress Concentration Around Defect; 4.1.1 Griffith's Theory of Crack Nucleation in Brittle Fracture; 4.2 Strength of Brittle Solids: Extreme Statistics; 4.2.1 Weibull and Gumbel Statistics; 4.3 Extreme Statistics in Fiber Bundle Models of Brittle Fracture; 4.3.1 Fiber Bundle Model; 4.3.1.1 Strength of the Local Load Sharing Fiber Bundles; 4.3.1.2 Crossover from Extreme to Self-averaging Statistics in the Model |
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4.4 Extreme Statistics in Percolating Lattice Model of Brittle Fracture4.5 Molecular Dynamics Simulation of Brittle Fracture; 4.5.1 Comparisons with Griffith's Theory; 4.5.2 Simulation of Highly Disordered Solids; 4.6 Summary; Chapter 5 Roughness of Fracture Surfaces; 5.1 Roughness Properties in Fracture; 5.1.1 Self-affine Scaling of Fractured Surfaces; 5.1.2 Out-of-plane Fracture Roughness; 5.1.3 Distribution of Roughness: Mono- and Multi-affinity; 5.1.3.1 Nonuniversal Cases; 5.1.3.2 Anisotropic Scaling; 5.1.4 In-plane Roughness of Fracture Surfaces |
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5.1.4.1 Waiting Time Distributions in Crack Propagation5.1.5 Effect of Probe Size; 5.1.6 Effect of Spatial Correlation and Anisotropy; 5.2 Molecular Dynamics Simulation of Fractured Surface; 5.3 Summary; Chapter 6 Avalanche Dynamics in Fracture; 6.1 Probing Failure with Acoustic Emissions; 6.2 Dynamics of Fiber Bundle Model; 6.2.1 Dynamics Around Critical Load; 6.2.2 Dynamics at Critical Load; 6.2.3 Avalanche Statistics of Energy Emission; 6.2.4 Precursors of Global Failure in the Model; 6.2.5 Burst Distribution: Crossover Behavior; 6.2.6 Abrupt Rupture and Tricritical Point |
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6.2.7 Disorder in Elastic Modulus6.3 Interpolations of Global and Local Load Sharing Fiber Bundle Models; 6.3.1 Power-law Load Sharing; 6.3.2 Mixed-mode Load Sharing; 6.3.3 Heterogeneous Load Sharing; 6.3.3.1 Dependence on Loading Process; 6.3.3.2 Results in One Dimension; 6.3.3.3 Results in Two Dimensions; 6.3.3.4 Comparison with Mixed Load Sharing Model; 6.4 Random Threshold Spring Model; 6.5 Summary; Chapter 7 Subcritical Failure of Heterogeneous Materials; 7.1 Time of Failure Due to Creep; 7.1.1 Fluctuating Load; 7.1.2 Failure Due to Fatigue in Fiber Bundles |
| Summary |
In this book, the authors bring together basic ideas from fracture mechanics and statistical physics, classical theories, simulation and experimental results to make the statistical physics aspects of fracture more accessible. They explain fracture-like phenomena, highlighting the role of disorder and heterogeneity from a statistical physical viewpoint. The role of defects is discussed in brittle and ductile fracture, ductile to brittle transition, fracture dynamics, failure processes with tension as well as compression: experiments, failure of electrical networks, self-organized critical models of earthquake and their extensions to capture the physics of earthquake dynamics. The text also includes a discussion of dynamical transitions in fracture propagation in theory and experiments, as well as an outline of analytical results in fiber bundle model dynamics With its wide scope, in addition to the statistical physics community, the material here is equally accessible to engineers, earth scientists, mechanical engineers, and material scientists. It also serves as a textbook for graduate students and researchers in physics |
| Notes |
7.1.3 Creep Rupture Propagation in Rheological Fiber Bundles |
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Print version record |
| Subject |
Fracture mechanics.
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Order-disorder models.
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Statistical physics.
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Fracture mechanics
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Order-disorder models
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Statistical physics
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| Form |
Electronic book
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| Author |
Ray, Purusattam, author.
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Chakrabarti, B. K. (Bikas K.), 1952- author.
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| ISBN |
9783527672677 |
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3527672672 |
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