A Primer on the Kinematics of Discrete Elastic Rods

This primer discusses a numerical formulation of the theory of an elastic rod, known as a discrete elastic rod, that was recently developed in a series of papers by Miklós Bergou, et al. Their novel formulation of discrete elastic rods represents an exciting new method to simulate and analyze the b...

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Bibliographic Details
Main Authors: Jawed, M. Khalid (Author, http://id.loc.gov/vocabulary/relators/aut), Novelia, Alyssa (http://id.loc.gov/vocabulary/relators/aut), O'Reilly, Oliver M. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:1st ed. 2018.
Series:SpringerBriefs in Thermal Engineering and Applied Science,
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary:This primer discusses a numerical formulation of the theory of an elastic rod, known as a discrete elastic rod, that was recently developed in a series of papers by Miklós Bergou, et al. Their novel formulation of discrete elastic rods represents an exciting new method to simulate and analyze the behavior of slender bodies that can be modeled using an elastic rod. The formulation has been extensively employed in computer graphics and is highly cited. In the primer, we provide relevant background from both discrete and classical differential geometry so a reader familiar with classic rod theories can appreciate, comprehend, and use Bergou, et al.'s computational efficient formulation of a nonlinear rod theory. The level of coverage is suitable for graduate students in mechanics and engineering sciences.
Physical Description:XIII, 118 p. 44 illus. in color. online resource.
ISBN:9783319769653
ISSN:2193-2530
DOI:10.1007/978-3-319-76965-3