Geometric Continuum Mechanics is popular PDF and ePub book, written by Reuven Segev in 2020-05-13, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Geometric Continuum Mechanics can be Read Online from any device for your convenience.
Geometric Continuum Mechanics Book PDF Summary
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.
Detail Book of Geometric Continuum Mechanics PDF
- Author : Reuven Segev
- Release : 13 May 2020
- Publisher : Springer Nature
- ISBN : 9783030426835
- Genre : Mathematics
- Total Page : 416 pages
- Language : English
- PDF File Size : 19,6 Mb
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