Geometric Continuum Mechanics (Advances in Mechanics and Mathematics, 43) 1st ed. free ebook download.

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Geometric Continuum Mechanics (Advances in Mechanics and Mathematics, 43) 1st ed. free ebook download

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Mathematics

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Author(s):	Reuven Segev

Date:	2020	Format:	pdf	Language:	English	ISBN/ASIN:	3030426823
Pages:	417	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	11/4/2024 4:52:04 AM

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3030426823 pdf
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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3275380	Book	https://nitroflare.com/view/47CDE402E434...		10.00	eternal

Tags: Advances Continuum Geometric Mathematics Mechanics Mechanics

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