Geometric Continuum Mechanics

Β·
· Advances in Mechanics and Mathematics 43. књига · Springer Nature
Π•-књига
416
Π‘Ρ‚Ρ€Π°Π½ΠΈΡ†Π°
ΠžΡ†Π΅Π½Π΅ ΠΈ Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΡ˜Π΅ нису Π²Π΅Ρ€ΠΈΡ„ΠΈΠΊΠΎΠ²Π°Π½Π΅ Β Π‘Π°Π·Π½Π°Ρ˜Ρ‚Π΅ вишС

О овој С-књизи

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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Π”Π° бистС Ρ‡ΠΈΡ‚Π°Π»ΠΈ Π½Π° ΡƒΡ€Π΅Ρ’Π°Ρ˜ΠΈΠΌΠ° којС користС Π΅-мастило, ΠΊΠ°ΠΎ ΡˆΡ‚ΠΎ су Kobo Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈ, Ρ‚Ρ€Π΅Π±Π° Π΄Π° ΠΏΡ€Π΅ΡƒΠ·ΠΌΠ΅Ρ‚Π΅ Ρ„Π°Ρ˜Π» ΠΈ прСнСсСтС Π³Π° Π½Π° ΡƒΡ€Π΅Ρ’Π°Ρ˜. ΠŸΡ€Π°Ρ‚ΠΈΡ‚Π΅ Π΄Π΅Ρ‚Π°Ρ™Π½Π° упутства ΠΈΠ· Ρ†Π΅Π½Ρ‚Ρ€Π° Π·Π° ΠΏΠΎΠΌΠΎΡ› Π΄Π° бистС ΠΏΡ€Π΅Π½Π΅Π»ΠΈ Ρ„Π°Ρ˜Π»ΠΎΠ²Π΅ Ρƒ ΠΏΠΎΠ΄Ρ€ΠΆΠ°Π½Π΅ Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡Π΅.
ΠŸΡ€ΠΈΡ˜Π°Π²ΠΈΡ‚Π΅ Π½Π΅Π·Π°ΠΊΠΎΠ½ΠΈΡ‚ ΡΠ°Π΄Ρ€ΠΆΠ°Ρ˜

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