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Discrete element model and simulation of continuous materials behavior set
Discrete element method to model 3D continuous materials
1 online resource (198 pages) : illustrations
Complex behavior models (plasticity, cracks, visco elascticity) face some theoretical difficulties for the determination of the behavior law at the continuous scale. When homogenization fails to give the right behavior law, a solution is to simulate the material at a meso scale in order to simulate directly a set of discrete properties that are responsible of the macroscopic behavior. The discrete element model has been developed for granular material. The proposed set shows how this method is capable to solve the problem of complex behavior that are linked to discrete meso scale effects.
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.
2.4.2.2.1. 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.
Includes bibliographical references and index.
Discrete element model and simulation of continuous materials behavior set. Volume 1, Discrete element method to model 3D continuous materials
London, England ; Hoboken, New Jersey : iSTE : Wiley, ©2015