Discrete-continuum Coupling Method to Simulate Highly Dynamic Multi-scale Problems

Simulation of Laser-induced Damage in Silica Glass, Volume 2

Inbunden, Engelska, 2015

Av Mohamed Jebahi, Frédéric Dau, Jean-Luc Charles, Ivan Iordanoff, Jebahi,

2 259 kr

Beställningsvara. Skickas inom 10-15 vardagar

Fri frakt för medlemmar vid köp för minst 249 kr.

Complex behavior models (plasticity, crack, visco-elascticity) are facing several theoretical difficulties in determining the behavior law at the continuous (macroscopic) scale. When homogenization fails to give the right behavior law, a solution is to simulate the material at a mesoscale using the discrete element model (DEM) in order to directly simulate a set of discrete properties that are responsible for the macroscopic behavior. Originally, the discrete element model was developed for granular material.This book, the second in the Discrete Element Model and Simulation of Continuous Materials Behavior set of books, shows how to choose the adequate coupling parameters to avoid spurious wave reflection and to allow the passage of all the dynamic information both from the fine to the coarse model and vice versa. The authors demonstrate the coupling method to simulate a highly nonlinear dynamical problem: the laser shock processing of silica glass.

Produktinformation

Utgivningsdatum2015-10-06
Mått165 x 244 x 20 mm
Vikt476 g
FormatInbunden
SpråkEngelska
Antal sidor216
FörlagISTE Ltd and John Wiley & Sons Inc
ISBN9781848217713

Tillhör följande kategorier

Maskinteknik och material inom Naturvetenskap och teknik

Mohamed Jebahi is a post-doctoral researcher at the Institute of Mechanics and Engineering of Bordeaux, France, and Laval University, Quebec, Canada.Frédéric Dau is Assistant Professor at Ecole Nationale Supérieure d'Arts et Métiers, ParisTech, France.Jean-Luc Charles is Assistant Professor at Ecole Nationale Supérieure d'Arts et Métiers, ParisTech, France.Ivan Iordanoff is Director of Research and Innovation at Ecole Nationale Supérieure d'Arts et Métiers, ParisTech, France.

List of Figures ixList of Tables xvPreface xviiIntroduction xixPart 1. Discrete-Continuum Coupling Method to Model Highly Dynamic Multi-Scale Problems 1Chapter 1. State of the Art: Concurrent Discrete-continuum Coupling 31.1. Introduction 31.2. Coupling challenges 41.2.1. Dissimilar variables due to different mechanical bases 41.2.2. Wave reflections due to different analysis scales 41.3. Coupling techniques 101.3.1. Edge-to-edge coupling methods 111.3.2. Bridging domain coupling methods 151.3.3. Bridging-scale coupling methods 191.3.4. Other coupling techniques 231.4. Conclusion 25Chapter 2. Choice of the Continuum Method to be Coupled with the Discrete Element Method 272.1. Introduction 272.2. Classification of the continuum methods 282.2.1. Grid-based methods 282.2.2. Meshless methods 332.3. Choice of continuum method 382.4. The constrained natural element method 412.4.1. Natural neighbor interpolation 412.4.2. Visibility criterion 482.4.3. Constrained natural neighbor interpolation 482.4.4. Numerical integration 492.5. Conclusion 51Chapter 3. Development of Discrete-Continuum Coupling Method Between DEM and CNEM 533.1. Introduction 533.2. Discrete-continuum coupling method: DEM-CNEM 543.2.1. DEM-CNEM coupling formulation 543.2.2. Discretization and spatial integration 593.2.3. Time integration 623.2.4. Algorithmic 633.2.5. Implementation 663.3. Parametric study of the coupling parameters 673.3.1. Influence of the junction parameter l 713.3.2. Influence of the weight function α 733.3.3. Influence of the approximated mediator spaceM˜ 793.3.4. Influence of the width of the bridging zone LB 793.3.5. Dependence between LB andM˜ 813.4. Choice of the coupling parameters in practice 833.5. Validation 843.6. Conclusion 85Part 2. Application: Simulation of Laser Shock Processing of Silica Glass 89Chapter 4. Some Fundamental Concepts in Laser Shock Processing 914.1. Introduction 914.2. Theory of laser–matter interaction: high pressure generation 924.2.1. Generation of shock wave by laser ablation 934.2.2. Shock wave propagation in materials 964.2.3. Laser-induced damage in materials 1064.3. Mechanical response of silica glass under high pressure 1094.3.1. Silica glass response under quasi-static hydrostatic compression 1094.3.2. Silica glass response under shock compression 1144.3.3. Summary of the silica glass response under high pressure 1184.4. Conclusion 119Chapter 5. Modeling of the Silica Glass Mechanical Behavior 1215.1. Introduction 1215.2. Mechanical behavior modeling 1225.2.1. Modeling assumption 1235.2.2. Cohesive beam model 1245.2.3. Quasi-static calibration and validation 1275.2.4. Dynamic calibration and validation 1395.3. Brittle fracture modeling 1475.4. Conclusion 149Chapter 6. Simulation of Laser Shock Processing of Silica Glass 1516.1. Introduction 1516.2. LSP test 1536.3. LSP model 1556.4. Results 1596.5. Conclusion 163Conclusion 165Bibliography 171Index 185