Geometric Contact Mechanics for Particle Systems
The Energy-Conserving Contact (ECC) Variational Framework
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Beschreibung
This book, for the first time, establishes particle contact mechanics as a branch of modern mechanics. It moves beyond empirical formulations and places the discrete element method (DEM) on the rigorous footing of classical analytical mechanics.
On this foundation, the Energy-Conserving Contact (ECC) principle formulates contact as a geometric variational structure on configuration space: scalar potentials generate consistent interactions, the Contact Kinematic Identity governs geometric evolution, and the conservative dynamics take Hamiltonian form. The book develops three rigid ECC models, the Enriched Spectral Discrete Element Method (eS-DEM), Instantaneous Contact Dynamics with breathing contact inertia, an exact energy–phase transformation, a universal damping law and adaptive damping for 3D contact.
The book is written for researchers, research students, engineers and code developers seeking a coherent theoretical and computational foundation for modelling particulate systems.
This book, for the first time, establishes particle contact mechanics as a branch of modern mechanics. It moves beyond empirical formulations and places the discrete element method (DEM) on the rigorous footing of classical analytical mechanics.
On this foundation, the Energy-Conserving Contact (ECC) principle formulates contact as a geometric variational structure on configuration space: scalar potentials generate consistent interactions, the Contact Kinematic Identity governs geometric evolution, and the conservative dynamics take Hamiltonian form. The book develops three rigid ECC models, the Enriched Spectral Discrete Element Method (eS-DEM), Instantaneous Contact Dynamics with breathing contact inertia, an exact energy–phase transformation, a universal damping law and adaptive damping for 3D contact.
The book is written for researchers, research students, engineers and code developers seeking a coherent theoretical and computational foundation for modelling particulate systems.
Reformulates DEM as a branch of modern mechanics through the ECC principle, not empirical rules Develops three rigid-body ECC models and the Enriched Spectral Discrete Element Method for deformable particles Unifies contact geometry, Hamiltonian dynamics, energy–phase harmonisation and damping within one framework
Autor*in
Y. T. Feng
Themen in »Geometric Contact Mechanics for Particle Systems«
Particle Contact Mechanics Computational Contact Mechanics Granular Contact Dynamics Discrete Contact Laws Non-spherical Particles Polyhedral Particles Arbitrarily Shaped Particles Convex Particle Contact Contact Detection Algorithms GJK and EPA Methods Geometric Potential Models Energy-conserving Contact Models/Theory/Formulations Granular Material Simulation Particulate System Modelling Granular Physics