Geometric Continuum Mechanics - Couverture rigide

Couverture rigide

ISBN 10 : 3030426823 ISBN 13 : 9783030426828

Editeur : Springer Nature Switzerland AG, 2020

Synopsis

This contributed volume explores the applications of various topics in modern differential geometry to the foundations of continuum mechanics. In particular, the contributors use notions from areas such as global analysis, algebraic topology, and geometric measure theory. Chapter authors are experts in their respective areas, and provide important insights from the most recent research. Organized into two parts, the book first covers kinematics, forces, and stress theory, and then addresses defects, uniformity, and homogeneity. Specific topics covered include:

• Global stress and hyper-stress theories
• Applications of de Rham currents to singular dislocations
• Manifolds of mappings for continuum mechanics
• Kinematics of defects in solid crystals

Geometric Continuum Mechanics will appeal to graduate students and researchers in the fields of mechanics, physics, and engineering who seek a more rigorous mathematical understanding of the area. Mathematicians interested in applications of analysis and geometry will also find the topics covered here of interest.

Détails de l'édition

• Éditeur: Springer Nature Switzerland AG
• Date d'édition: 2020
• Langue: anglais
• ISBN 10: 3030426823
• ISBN 13: 9783030426828
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 423
• Éditeur: Segev Reuven, Epstein Marcelo
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne