Discrete Element Method To Model 3d Continuous Materials
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| Author | : Mohamed Jebahi |
| Publisher | : John Wiley & Sons |
| Total Pages | : 196 |
| Release | : 2015-02-26 |
| Genre | : Technology & Engineering |
| ISBN | : 1119102758 |
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.
| Author | : Mohamed Jebahi |
| Publisher | : John Wiley & Sons |
| Total Pages | : 198 |
| Release | : 2015-02-26 |
| Genre | : Technology & Engineering |
| ISBN | : 111910291X |
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.
| Author | : Francis Piriou |
| Publisher | : John Wiley & Sons |
| Total Pages | : 243 |
| Release | : 2024-02-23 |
| Genre | : Science |
| ISBN | : 1394276478 |
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.
| Author | : Mohamed Jebahi |
| Publisher | : John Wiley & Sons |
| Total Pages | : 216 |
| Release | : 2015-11-09 |
| Genre | : Technology & Engineering |
| ISBN | : 1848217714 |
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.
| Author | : Damien Andre |
| Publisher | : John Wiley & Sons |
| Total Pages | : 212 |
| Release | : 2015-10-26 |
| Genre | : Technology & Engineering |
| ISBN | : 1848217722 |
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. The first book solves the local problem, the second one presents a coupling approach to link the structural effects to the local ones, this third book presents the software workbench that includes all the theoretical developments.
| Author | : Patrick Ciarlet |
| Publisher | : John Wiley & Sons |
| Total Pages | : 404 |
| Release | : 2023-07-26 |
| Genre | : Mathematics |
| ISBN | : 1394229747 |
The finite element method, which emerged in the 1950s to deal with structural mechanics problems, has since undergone continuous development. Using partial differential equation models, it is now present in such fields of application as mechanics, physics, chemistry, economics, finance and biology. It is also used in most scientific computing software, and many engineers become adept at using it in their modeling and numerical simulation activities. This book presents all the essential elements of the finite element method in a progressive and didactic way: the theoretical foundations, practical considerations of implementation, algorithms, as well as numerical illustrations created in MATLAB. Original exercises with detailed answers are provided at the end of each chapter.
| Author | : Jean-Luc Mari |
| Publisher | : John Wiley & Sons |
| Total Pages | : 194 |
| Release | : 2020-01-02 |
| Genre | : Mathematics |
| ISBN | : 1786300419 |
Three-dimensional surface meshes are the most common discrete representation of the exterior of a virtual shape. Extracting relevant geometric or topological features from them can simplify the way objects are looked at, help with their recognition, and facilitate description and categorization according to specific criteria. This book adopts the point of view of discrete mathematics, the aim of which is to propose discrete counterparts to concepts mathematically defined in continuous terms. It explains how standard geometric and topological notions of surfaces can be calculated and computed on a 3D surface mesh, as well as their use for shape analysis. Several applications are also detailed, demonstrating that each of them requires specific adjustments to fit with generic approaches. The book is intended not only for students, researchers and engineers in computer science and shape analysis, but also numerical geologists, anthropologists, biologists and other scientists looking for practical solutions to their shape analysis, understanding or recognition problems.
| Author | : Elena Ferretti |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2014 |
| Genre | : Technology & Engineering |
| ISBN | : 9781606506042 |
Finite Element, Boundary Element, Finite Volume, and Finite Difference Analysis are all commonly used in nearly all engineering disciplines to simplify complex problems of geometry and change. But they all tend to oversimplify. The Cell Method is a more recent computational approach developed initially for problems in solid mechanics and electro-magnetic field analysis. It is a more algebraic approach, and it offers a more accurate representation of geometric and topological features. This will be perhaps the first book-length work in the world that explicates the Cell Method and that shows how useful it can be for practical problem solving, especially in problems in solid mechanics.
| Author | : Benjamin K. Cook |
| Publisher | : |
| Total Pages | : 448 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : |
Proceedings of the Third International Conference on Discrete Element Methods, held in Santa Fe, New Mexico on September 23-25, 2002. This Geotechnical Special Publication contains 72 technical papers on discrete element methods (DEM), a suite of numerical techniques developed to model granular materials, rock, and other discontinua at the grain scale. Topics include: DEM formulation and implementation approaches, coupled methods, experimental validation, and techniques, including three-dimensional particle representations, efficient contact detection algorithms, particle packing schemes, and code design. Coupled methods include approaches to linking solid continuum and fluid models with DEM to simulate multiscale and multiphase phenomena. Applications include fundamental investigations of granular mechanics; micromechanical studies of powder, soil, and rock behavior; and large-scale modeling of geotechnical, material processing, mining, and petroleum engineering problems.
| Author | : Hans-Georg Matuttis |
| Publisher | : John Wiley & Sons |
| Total Pages | : 484 |
| Release | : 2014-06-23 |
| Genre | : Science |
| ISBN | : 111856720X |
Gives readers a more thorough understanding of DEM and equips researchers for independent work and an ability to judge methods related to simulation of polygonal particles Introduces DEM from the fundamental concepts (theoretical mechanics and solidstate physics), with 2D and 3D simulation methods for polygonal particles Provides the fundamentals of coding discrete element method (DEM) requiring little advance knowledge of granular matter or numerical simulation Highlights the numerical tricks and pitfalls that are usually only realized after years of experience, with relevant simple experiments as applications Presents a logical approach starting withthe mechanical and physical bases,followed by a description of the techniques and finally their applications Written by a key author presenting ideas on how to model the dynamics of angular particles using polygons and polyhedral Accompanying website includes MATLAB-Programs providing the simulation code for two-dimensional polygons Recommended for researchers and graduate students who deal with particle models in areas such as fluid dynamics, multi-body engineering, finite-element methods, the geosciences, and multi-scale physics.
