Discrete element model and simulation of continuous materials behavior set. Volume 1, Discrete element method to model 3D continuous materials

Content: Cover
 Title Page
 Copyright
 Contents
 List of Figures
 List of Tables
 Preface
 Introduction
 I.1. Toward discrete element modeling of continuous materials
 I.2. Scope and objective
 I.3. Organization
 1: State of the Art: Discrete Element Modeling
 1.1. Introduction
 1.2. Classification of discrete methods
 1.2.1. Quantum mechanical methods
 1.2.2. Atomistic methods
 1.2.3. Mesoscopic discrete methods
 1.2.3.1. Lattice methods
 1.2.3.2. Smooth contact particle methods
 1.2.3.3. Non-smooth contact particle models
 1.2.3.4. Hybrid lattice-particle models 1.3. Discrete element method for continuous materials1.4. Discrete-continuum transition: macroscopic variables
 1.4.1. Stress tensor for discrete systems
 1.4.2. Strain tensor for discrete systems
 1.4.2.1. Equivalent continuum strains
 1.4.2.2. Best-fit strains
 1.4.2.3. Satake strain
 1.5. Conclusion
 2: Discrete Element Modeling of Mechanical Behavior of Continuous Materials
 2.1. Introduction
 2.2. Explicit dynamic algorithm
 2.3. Construction of the discrete domain
 2.3.1. The cooker compaction algorithm
 2.3.1.1. Stopping criterion of compaction process
 2.3.1.2. Filling process 2.3.1.3. Overlapping removing2.3.2. Geometrical characterization of the discrete domain
 2.3.2.1. Geometrical isotropy and granulometry
 2.3.2.2. Average coordination number
 2.3.2.3. Discrete domain fineness
 2.4. Mechanical behavior modeling
 2.4.1. Cohesive beam model
 2.4.1.1. Analytical model
 2.4.1.2. Strain energy computation
 2.4.2. Calibration of the cohesive beam static parameters
 2.4.2.1. Quasistatic tensile test description
 2.4.2.1.1. From discrete to continuous geometry
 2.4.2.1.2. Loading
 2.4.2.1.3. EM and νM computation
 2.4.2.2. Parametric study 2.4.2.2.1. Microscopic Poisson's ratio influence2.4.2.2.2. Microscopic Young's modulus influence
 2.4.2.2.3. Microscopic radius ratio influence
 2.4.2.3. Calibration method for static parameters
 2.4.2.4. Convergence study
 2.4.2.5. Validation
 2.4.3. Calibration of the cohesive beam dynamic parameters
 2.4.3.1. Calibration method for dynamic parameters
 2.4.3.2. Validation
 2.5. Conclusion
 3: Discrete Element Modeling of Thermal Behavior of Continuous Materials
 3.1. Introduction
 3.2. General description of the method
 3.2.1. Characterization of field variable variation in discrete domain 3.2.2. Application to heat conduction3.3. Thermal conduction in 3D ordered discrete domains
 3.4. Thermal conduction in 3D disordered discrete domains
 3.4.1. Determination of local parameters for each discrete element
 3.4.2. Calculation of discrete element transmission surface
 3.4.3. Calculation of local volume fraction
 3.4.4. Interactions between each discrete element and its neighbors
 3.5. Validation
 3.5.1. Cylindrical beam in contact with a hot plane
 3.5.2. Dynamically heated sheet
 3.6. Conclusion
 4: Discrete Element Modeling of Brittle Fracture
 4.1. Introduction