[Download] "Geometric Continuum Mechanics" by Reuven Segev & Marcelo Epstein * eBook PDF Kindle ePub Free

eBook details

Title: Geometric Continuum Mechanics
Author : Reuven Segev & Marcelo Epstein
Release Date : January 13, 2020
Genre: Mathematics,Books,Science & Nature,Physics,
Pages : * pages
Size : 19632 KB

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.