Hidden Bibliographic Details
| ISBN: | 9783319505985
331950598X
9783319505961
3319505963
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| Digital file characteristics: | text file
PDF
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| Notes: | Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed March 13, 2017).
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| Summary: | 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.
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| Other form: | Print version: O'Reilly, Oliver M. Modeling nonlinear problems in the mechanics of strings and rods. Cham, Switzerland : Springer, 2017 3319505963 9783319505961
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| Standard no.: | 10.1007/978-3-319-50598-5
10.1007/978-3-319-50
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