Geometric Continuum Mechanics (Advances in Continuum Mechanics) by Reuven Segev

Description: 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 theoriesApplications of de Rham currents to singular dislocationsManifolds of mappings for continuum mechanicsKinematics of defects in solid crystalsGeometric 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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EAN: 9783030426828

UPC: 9783030426828

ISBN: 9783030426828

MPN: N/A

Book Title: Geometric Continuum Mechanics (Advances in Continu

Item Length: 23.4 cm

Number of Pages: 416 Pages

Publication Name: Geometric Continuum Mechanics

Language: English

Publisher: Springer Nature Switzerland A&G

Item Height: 235 mm

Subject: Mechanics, Mathematics

Publication Year: 2020

Type: Textbook

Item Weight: 805 g

Subject Area: Mechanical Engineering

Author: Marcelo Epstein, Reuven Segev

Item Width: 155 mm

Series: Advances in Continuum Mechanics

Format: Hardcover