Geometric Continuum Mechanics (eBook)

Reuven Segev, Marcelo Epstein (Herausgeber)

eBook Download: PDF

2020 | 1st ed. 2020
VII, 416 Seiten
Springer International Publishing (Verlag)
978-3-030-42683-5 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 13.5.2020
• Reihe/Serie: Advances in Continuum Mechanics
• Reihe/Serie: Advances in Continuum Mechanics
• Reihe/Serie: Advances in Mechanics and Mathematics
• Reihe/Serie: Advances in Mechanics and Mathematics
• Zusatzinfo: VII, 416 p. 75 illus., 28 illus. in color.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik ► Bauwesen
• Schlagworte: Analysis of Homogeneity of Material Bodies • Continuum Mechanics • de Rham Currents • de Rham differential • Differential Geometry • Force and Stress Theory • Geometric Continuum Mechanics • Geometry and Mechanics • Geometry of Defects and Dislocations • Groupoids • Manifolds of Mappings • Stress functions
• ISBN-10: 3-030-42683-1 / 3030426831
• ISBN-13: 978-3-030-42683-5 / 9783030426835