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Geometric Contact Mechanics for Particle Systems: The Energy-Conserving Contact (Ecc) Variational Framework

Geometric Contact Mechanics for Particle Systems: The Energy-Conserving Contact (Ecc) Variational Framework

Hardcover

Series: Engineering Materials

Technology & EngineeringGeneral MathematicsPhysics

PREORDER - Expected ship date February 24, 2027

ISBN10: 3032419735
ISBN13: 9783032419736
Publisher: Springer
Published: Feb 24 2027
Pages: 428
Language: English

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.

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