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Understanding the discrete element method. Simulation of non-spherical particles for granular and multi-body systems. (English) Zbl 1381.70003

Hoboken, NJ: John Wiley & Sons (ISBN 978-1-118-56720-3/hbk; 978-1-118-56721-0/ebook). xxii, 456 p. (2014).
Publisher’s description: 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 solid state 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 with the 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.

MSC:

70-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of particles and systems
70-08 Computational methods for problems pertaining to mechanics of particles and systems
70E55 Dynamics of multibody systems
74S05 Finite element methods applied to problems in solid mechanics

Software:

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