By Oliver M. O'Reilly
This ebook provides theories of deformable elastic strings and rods and their software to wide sessions of difficulties. Readers will achieve insights into the formula and research of versions for mechanical and organic structures. Emphasis is put on how the stability legislation interaction with constitutive relatives to shape a suite of governing equations. For convinced 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 1/2 the booklet is dedicated to the merely mechanical thought of a string and its purposes. the second one half the publication is dedicated to rod theories, together with Euler’s conception of the elastica, Kirchhoff ’s conception of an elastic rod, and more than a few Cosserat rod theories. quite a few vintage and up to date purposes of those rod theories are tested. supplemental chapters, the 1st on continuum mechanics of three-d continua and the second one on tools from variational calculus, are integrated to supply appropriate heritage for students.
This e-book is suited to graduate-level classes at the dynamics of nonlinearly elastic rods and strings.
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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