000			a
999			_c29755 _d29755
008			191120b xxu||||| |||| 00| 0 eng d
020			_a9783319505961
082			_a531 _bORE
100			_aO'Reilly, Oliver M.
245			_aModeling nonlinear problems in the mechanics of strings and rods : the role of the balance laws
260			_aCham _bSpringer _c2017
300			_axx, 425 p. _bill. _c24 cm.
365			_b66.99 _cEUR _d82.00
490			_aInteraction of mechanics and mathematics _v1860-6245
504			_aIncludes bibliographical references and index.
520			_aThis 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.
650			_aDynamical Systems and Ergodic Theory
650			_aApplications of Nonlinear Dynamics and Chaos Theory
650			_aDifferentiable dynamical systems
650			_aDeformations Mechanics
650			_aContinuum Mechanics
650			_aScience and Chaotic Behavior in Systems
942			_2ddc _cBK