Discrete Continuum Coupling Method To Simulate Highly Dynamic Multi Scale Problems PDF Download

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

Discrete-continuum Coupling Method to Simulate Highly Dynamic Multi-scale Problems
Author: Mohamed Jebahi
Publisher: John Wiley & Sons
Total Pages: 216
Release: 2015-10-02
Genre: Technology & Engineering
ISBN: 1119119286

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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.


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

Discrete-continuum Coupling Method to Simulate Highly Dynamic Multi-scale Problems
Author: Mohamed Jebahi
Publisher: John Wiley & Sons
Total Pages: 219
Release: 2015-10-02
Genre: Technology & Engineering
ISBN: 1119119294

Download Discrete-continuum Coupling Method to Simulate Highly Dynamic Multi-scale Problems Book in PDF, ePub and Kindle

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.


Finite Element Method to Model Electromagnetic Systems in Low Frequency

Finite Element Method to Model Electromagnetic Systems in Low Frequency
Author: Francis Piriou
Publisher: John Wiley & Sons
Total Pages: 243
Release: 2024-02-23
Genre: Science
ISBN: 1394276478

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Numerical modeling now plays a central role in the design and study of electromagnetic systems. In the field of devices operating in low frequency, it is the finite element method that has come to the fore in recent decades. Today, it is widely used by engineers and researchers in industry, as well as in research centers. This book describes in detail all the steps required to discretize Maxwell’s equations using the finite element method. This involves progressing from the basic equations in the continuous domain to equations in the discrete domain that are solved by a computer. This approach is carried out with a constant focus on maintaining a link between physics, i.e. the properties of electromagnetic fields, and numerical analysis. Numerous academic examples, which are used throughout the various stages of model construction, help to clarify the developments.


Milling Simulation

Milling Simulation
Author: Weihong Zhang
Publisher: John Wiley & Sons
Total Pages: 272
Release: 2016-06-15
Genre: Mathematics
ISBN: 1119262909

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Reliable scheduling in cutting conditions is very important in machining processes, and this requires thorough understanding of the physical behaviors of the machining process, which cannot be achieved without understanding the underlying mechanism of the processes. The book describes the mechanics and dynamics together with the clamping principles in milling processes, and can be used as a guideline for graduate students and research engineers who wish to be effective manufacture engineers and researchers. Many books have focused on common principles, which are suitable for general machining processes, e.g., milling, turning and drilling, etc. This book specifically aims at exploring the mechanics and dynamics of milling processes. Original theoretical derivations and new observations on static cutting force models, dynamic stability models and clamping principles associated with milling processes are classified and detailed. The book is indented as a text for graduate students and machining engineers who wish to intensively learn milling mechanism and machine tool vibration.


Meshing, Geometric Modeling and Numerical Simulation 3

Meshing, Geometric Modeling and Numerical Simulation 3
Author: Paul Louis George
Publisher: John Wiley & Sons
Total Pages: 352
Release: 2020-11-04
Genre: Mathematics
ISBN: 1119788064

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Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In Volume 1, the theoretical foundations relating to triangulations, finite element shape functions and their interpretations as geometric patches were explored. This has made it possible to build tools that make the geometric modeling of any object possible. These elements are used in Volume 2 to treat meshing problems in their different implementations. Meshing, Geometric Modeling and Numerical Simulation 3 offers technical additions to the methods seen in the first two volumes and a significant portion of this book is dedicated to mesh visualization problems and solutions, especially those with a high degree of complexity.


Modeling Materials

Modeling Materials
Author: Ellad B. Tadmor
Publisher: Cambridge University Press
Total Pages: 789
Release: 2011-11-24
Genre: Science
ISBN: 1139500651

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Material properties emerge from phenomena on scales ranging from Angstroms to millimeters, and only a multiscale treatment can provide a complete understanding. Materials researchers must therefore understand fundamental concepts and techniques from different fields, and these are presented in a comprehensive and integrated fashion for the first time in this book. Incorporating continuum mechanics, quantum mechanics, statistical mechanics, atomistic simulations and multiscale techniques, the book explains many of the key theoretical ideas behind multiscale modeling. Classical topics are blended with new techniques to demonstrate the connections between different fields and highlight current research trends. Example applications drawn from modern research on the thermo-mechanical properties of crystalline solids are used as a unifying focus throughout the text. Together with its companion book, Continuum Mechanics and Thermodynamics (Cambridge University Press, 2011), this work presents the complete fundamentals of materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.


Analysis of Atomistic/Continuum Coupling Using Meshless Methods

Analysis of Atomistic/Continuum Coupling Using Meshless Methods
Author:
Publisher:
Total Pages: 5
Release: 2008
Genre:
ISBN:

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In this paper, we compare three interpolation functions in a discretized continuum when used in coupled dynamic atomistic-to-continuum simulations. The focus is on assessing the ability of the discrete continuum model to capture and accurately represent transient effects, namely a travelling longitudinal wave, through both the mixed atomistic-continuum interface and the non-uniform continuum mesh beyond. We specifically examine the differences among Bubnov-Galerkin, partition of unity, and moving least squares finite element methods in the continuum part of the multiscale model. Our study shows that using partition of unity interpolation functions in the continuum produces superior results compared to the other two approaches.


Principles of Multiscale Modeling

Principles of Multiscale Modeling
Author: Weinan E
Publisher: Cambridge University Press
Total Pages: 485
Release: 2011-07-07
Genre: Mathematics
ISBN: 1107096545

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A systematic discussion of the fundamental principles, written by a leading contributor to the field.


Multiscale Modeling of Complex Materials

Multiscale Modeling of Complex Materials
Author: Tomasz Sadowski
Publisher: Springer
Total Pages: 285
Release: 2014-10-14
Genre: Science
ISBN: 3709118123

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The papers in this volume deal with materials science, theoretical mechanics and experimental and computational techniques at multiple scales, providing a sound base and a framework for many applications which are hitherto treated in a phenomenological sense. The basic principles are formulated of multiscale modeling strategies towards modern complex multiphase materials subjected to various types of mechanical, thermal loadings and environmental effects. The focus is on problems where mechanics is highly coupled with other concurrent physical phenomena. Attention is also focused on the historical origins of multiscale modeling and foundations of continuum mechanics currently adopted to model non-classical continua with substructure, for which internal length scales play a crucial role.