BÜCHER VERSANDKOSTENFREI INNERHALB DEUTSCHLANDS
eBook
Geometric Continuum Mechanics
Springer Nature Switzerland
ISBN 978-3-030-42683-5
Standardpreis
Bibliografische Daten
eBook. PDF
2020
VII, 416 p. 75 illus., 28 illus. in color..
In englischer Sprache
Umfang: 416 S.
Verlag: Springer Nature Switzerland
ISBN: 978-3-030-42683-5
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Advances in Mechanics and Mathematics Advances in Continuum Mechanics
Produktbeschreibung
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.
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