Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Modeling Nonlinear Problems in the Mechanics of Strings and Rods: The Role of the Balance Laws

Modeling Nonlinear Problems in the Mechanics of Strings and Rods: The Role of the Balance Laws

Hardcover

Series: Interaction of Mechanics and Mathematics

Technology & EngineeringGeneral MathematicsGeneral Science

ISBN10: 3319505963
ISBN13: 9783319505961
Publisher: Springer
Published: Mar 17 2017
Pages: 425
Weight: 2.09
Height: 1.21 Width: 6.49 Depth: 9.57
Language: English

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.

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