By Oliver M. O'Reilly
This e-book offers theories of deformable elastic strings and rods and their program to vast sessions of difficulties. Readers will achieve insights into the formula and research of types for mechanical and organic structures. Emphasis is put on how the stability legislation interaction with constitutive family to shape a suite of governing equations. For sure periods of difficulties, it really is proven how a stability of fabric momentum can play a key function in forming the equations of movement. the 1st half the ebook is dedicated to the basically mechanical thought of a string and its functions. the second one half the e-book is dedicated to rod theories, together with Euler’s concept of the elastica, Kirchhoff ’s thought of an elastic rod, and more than a few Cosserat rod theories. numerous vintage and up to date functions of those rod theories are tested. supplemental chapters, the 1st on continuum mechanics of three-d continua and the second one on equipment from variational calculus, are integrated to supply suitable history for students.
This booklet is fitted to graduate-level classes at the dynamics of nonlinearly elastic rods and strings.
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Additional info for Modeling Nonlinear Problems in the Mechanics of Strings and Rods: The Role of the Balance Laws (Interaction of Mechanics and Mathematics)
Modeling Nonlinear Problems in the Mechanics of Strings and Rods: The Role of the Balance Laws (Interaction of Mechanics and Mathematics) by Oliver M. O'Reilly