Modeling Nonlinear Problems in the Mechanics of Strings and Rods - The Role of the Balance Laws (Hardcover, 1st ed. 2017)

This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive relations to form a set of governing equations. For certain classes of problems, it is shown how a balance of material momentum can play a key role in forming the equations of motion. The first half of the book is devoted to the purely mechanical theory of a string and its applications. The second half of the book is devoted to rod theories, including Euler's theory of the elastica, Kirchhoff 's theory of an elastic rod, and a range of Cosserat rod theories. A variety of classic and recent applications of these rod theories are examined. Two supplemental chapters, the first on continuum mechanics of three-dimensional continua and the second on methods from variational calculus, are included to provide relevant background for students. This book is suited for graduate-level courses on the dynamics of nonlinearly elastic rods and strings.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Interaction of Mechanics and Mathematics
Release date:	March 2017
First published:	2017
Authors:	Oliver M. O'Reilly
Dimensions:	235 x 155 x 26mm (L x W x T)
Format:	Hardcover
Pages:	425
Edition:	1st ed. 2017
ISBN-13:	978-3-319-50596-1
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Books > Professional & Technical > Mechanical engineering & materials > Mechanical engineering > General
LSN:	3-319-50596-3
Barcode:	9783319505961

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