Discrete-continuum Coupling Method to Simulate Highly Dynamic Multi-scale Problems: Simulation of Laser-induced Damage in Silica Glass

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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.

 

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Contents

Choice of the Continuum Method to
27
Development of DiscreteContinuum
53
bridging zone
60
coupling method LB 2mm fine mediator space and constant
74
Some Fundamental Concepts in Laser
91
Modeling of the Silica Glass Mechanical
121
Simulation of Laser Shock Processing
151
Conclusion
165
Bibliography
171
Index
185
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About the author (2015)

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 Charlesis 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.