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A primer on the kinematics of discre...

Jawed, M. Khalid.

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A primer on the kinematics of discrete elastic rods

Record Type:	Electronic resources : Monograph/item
Title/Author:	A primer on the kinematics of discrete elastic rods/ by M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly.
Author:	Jawed, M. Khalid.
other author:	Novelia, Alyssa.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xiii, 118 p. :ill., digital ;24 cm.
[NT 15003449]:	Discrete Elastic Rods -- Kirchhoff's Theory of an Elastic Rod -- Variations, Gradients, and Hessians -- Rotation of the Cross Section of the Rod, Spherical Excess, and Holonomy -- Kinetic Energy, Potential Energy, and Internal Forces.
Contained By:	Springer eBooks
Subject:	Elastic rods and wires - Mathematics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-76965-3
ISBN:	9783319769653

A primer on the kinematics of discrete elastic rods
Jawed, M. Khalid.

A primer on the kinematics of discrete elastic rods[electronic resource] /by M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly. - Cham :Springer International Publishing :2018. - xiii, 118 p. :ill., digital ;24 cm. - SpringerBriefs in applied sciences and technology,2191-530X. - SpringerBriefs in applied sciences and technology..

Discrete Elastic Rods -- Kirchhoff's Theory of an Elastic Rod -- Variations, Gradients, and Hessians -- Rotation of the Cross Section of the Rod, Spherical Excess, and Holonomy -- Kinetic Energy, Potential Energy, and Internal Forces.

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 Miklos 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.

ISBN: 9783319769653

Standard No.: 10.1007/978-3-319-76965-3doiSubjects--Topical Terms:

3332229
Elastic rods and wires
--Mathematics.

LC Class. No.: QA935 / .J394 2018

Dewey Class. No.: 531.382

A primer on the kinematics of discrete elastic rods
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100 1 $a Jawed, M. Khalid. $3 3332227
245 1 2 $a A primer on the kinematics of discrete elastic rods $h [electronic resource] / $c by M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xiii, 118 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in applied sciences and technology, $x 2191-530X
505 0 $a Discrete Elastic Rods -- Kirchhoff's Theory of an Elastic Rod -- Variations, Gradients, and Hessians -- Rotation of the Cross Section of the Rod, Spherical Excess, and Holonomy -- Kinetic Energy, Potential Energy, and Internal Forces.
520 $a 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 Miklos 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.
650 0 $a Elastic rods and wires $x Mathematics. $3 3332229
650 0 $a Kinematics. $3 571109
650 1 4 $a Engineering. $3 586835
650 2 4 $a Theoretical and Applied Mechanics. $3 896500
650 2 4 $a Engineering Mathematics. $3 3301900
650 2 4 $a Classical Mechanics. $3 3216970
700 1 $a Novelia, Alyssa. $3 3332228
700 1 $a O'Reilly, Oliver M. $3 1086552
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773 0 $t Springer eBooks
830 0 $a SpringerBriefs in applied sciences and technology. $3 1565541
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-76965-3
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