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MARC 21

Geometric Continuum Mechanics
Tag	Description
020	$a9783030426835
082	$a516.36
099	$aOnline resource: Springer
245	$aGeometric Continuum Mechanics$h[EBook]$cedited by Reuven Segev, Marcelo Epstein.
250	$a1st ed. 2020.
260	$aCham :$bSpringer International Publishing :$bImprint: Birkhäuser,$c2020.
300	$aVII, 416 p. 75 illus., 28 illus. in color.$bonline resource.
336	$atext
338	$aonline resource
440	$aAdvances in Continuum Mechanics,$x2524-4639 ;$v42
505	$aPart I: Kinematics, Forces, and Stress Theory -- Manifolds of Mappings for Continuum Mechanics -- Notes on Global Stress and Hyper-Stress Theories -- Applications of Algebraic Topology in Elasticity -- De Donder Construction for Higher Jets -- Part II: Defects, Uniformity, and Homogeneity -- Regular and Singular Dislocations -- Homogenization of Edge-Dislocations as a Weak Limit of de-Rham Currents -- A Kinematics of Defects in Solid Crystals -- Limits of Distributed Dislocations in Geometric and Constitutive Paradigms -- On the Homogeneity of Non-Uniform Material Bodies.
520	$aThis 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.
533	$aDigital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
538	$a - Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
700	$aSegev, Reuven.$eeditor.
700	$aEpstein, Marcelo.$eeditor.
710	$aSpringerLink (Online service)
830	$aAdvances in Continuum Mechanics,$v42
856	$uhttps://doi.org/10.1007/978-3-030-42683-5