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Statistical models for the fracture of disordered media /

Since the beginning of the century the technological desire to master the fracture of metals, concrete or polymers has boosted research and has left behind an overwhelming amount of literature. In a field where it seems difficult to say anything simple and new, the editors and authors of this book h...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Herrmann, Hans J., Roux, St�ephane
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub., 1990.
Colección:Random materials and processes.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover; Statistical Models for the Fracture of Disordered Media; Copyright Page; Preface; Foreword; Table of contents; Chapter 1. Introduction to basic notions and facts; 1.1 Objectives; 1.2 The mechanical response of a solid; 1.3 Phenomenology of fracture; 1.4 The process of fracture; 1.5 Materials; 1.6 Outlook; References; Chapter 2. Experimental evidences for various materials; 2.1 Rupture and deformation of ceramics; 2.2 Failure mechanisms of composite materials; 2.3 Concrete: Large-scale heterogeneities and size effects; 2.4 Fracture mechanisms of metals
  • 2.5 Mechanical properties of polymeric materials2.6 Viscous fingering and viscoelastic fracture in clays; Chapter 3. Continuum and discrete description of elasticity and other rheological behaviour; 3.1 Elasticity; 3.2 Other rheological behaviours; 3.3 Discretization: Physical approach; 3.4 Discretization: Formal approach[7]; Chapter 4. Disorder; 4.1 Introduction; 4.2 Percolation model; 4.3 Electrical conductance; 4.4 Elasticity with angular stiffness; 4.5 Elasticity of central-force systems; 4.6 Percolation induced by wide probability distributions
  • Chapter 5. Modelization of fracture in disordered systems5.1 Introduction; 5.2 Classical approaches; 5.3 Molecular Dynamics; 5.4 Lattice models; 5.5 Renormalization; Chapter 6. Breakdown of diluted and hierarchical systems; 6.1 Introduction and overview; 6.2 Scaling theory for an isolated crack; 6.3 Extreme scaling analysis of dilute networkst[34,38,50]; 6.4 Fractal and hierarchical microgeometries; 6.5 Toughness of disordered materials; 6.6 Discussion and experimental implications; 6.7 Conclusion; Chapter 7. Randomness in breaking thresholds; 7.1 Introduction; 7.2 Some analytic results
  • 7.3 Breaking characteristics7.4 Multifractality; 7.5 Discussion; Chapter 8. Dielectric breakdown and single crack models; 8.1 Interfacial pattern formation; 8.2 Diffusion limited aggregation and dielectric breakdown; 8.3 Single crack models on lattices; 8.4 Discussion and outlook; Chapter 9. Simple kinetic models for material failure and deformation; 9.1 Introduction; 9.2 The Dobrodumov-El'yashevich model; 9.3 Surface cracking models; 9.4 Models for the properties and failure of polymer fibers; 9.5 Chain slippage models; 9.6 Analog models; 9.7 Summary; Chapter 10. Fragmentation
  • 10.1 Introduction10.2 Continuous fragmentation; 10.3 Discussion and outlook; Subject index