Geometric Continuum Mechanics

Reuven Segev (Editor), Marcelo Epstein

Research output: Book/ReportBookpeer-review

Abstract

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.
Original languageEnglish
PublisherBirkhäuser Basel
ISBN (Print)9783030426828
DOIs
StatePublished - 2020

Publication series

NameAdvances in Continuum Mechanics
PublisherBirkhäuser Basel

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