Articles liés à Geometric Continuum Mechanics

Geometric Continuum Mechanics - Couverture souple

Livre 37 sur 38: Advances in Mechanics and Mathematics
 
9783030426859: Geometric Continuum Mechanics
Couverture souple
ISBN 10 : 3030426858 ISBN 13 : 9783030426859
Editeur : Birkhäuser, 2021

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Birkhäuser
Date d'édition
2021
Langue
anglais
ISBN 10 
3030426858
ISBN 13 
9783030426859
Reliure
Broché
Numéro d'édition
1
Nombre de pages
428
Éditeur
Segev Reuven, Epstein Marcelo
Coordonnées du fabricant
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3
Heidelberg
69115
Allemagne