Overview
- Develops a concise and self contained introduction to nonlinear deformable-body dynamics different from Cosserat theory
- Accessible to interdisciplinary audience due to the user friendly presentation and instructive examples
- Reduces to established theories from Kirchhoff and Cosserat theories
Part of the book series: Nonlinear Physical Science (NPS)
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About this book
"Nonlinear Deformable-body Dynamics" mainly consists in a mathematical treatise of approximate theories for thin deformable bodies, including cables, beams, rods, webs, membranes, plates, and shells. The intent of the book is to stimulate more research in the area of nonlinear deformable-body dynamics not only because of the unsolved theoretical puzzles it presents but also because of its wide spectrum of applications. For instance, the theories for soft webs and rod-reinforced soft structures can be applied to biomechanics for DNA and living tissues, and the nonlinear theory of deformable bodies, based on the Kirchhoff assumptions, is a special case discussed. This book can serve as a reference work for researchers and a textbook for senior and postgraduate students in physics, mathematics, engineering and biophysics.
Dr. Albert C.J. Luo is a Professor of Mechanical Engineering at Southern Illinois University, Edwardsville, IL, USA. Professor Luo is an internationally recognized scientist in the field of nonlinear dynamics in dynamical systems and deformable solids.
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Table of contents (8 chapters)
Reviews
From the reviews:
“This book is a mathematical treatise of approximate theories for thin deformable bodies, including cables, beams, rods, webs, membranes, plates and shells. … At the end of each chapter, a large number of references are given for further studies. The book presents a theoretic frame to develop accurate theories of beams and rods and approximate theories of plates and shells. … serve as a reference work for researchers and as a textbook for senior and postgraduate students in physics, mathematics, engineering and biophysics.” (Girish Ramaiah, Zentralblatt MATH, Vol. 1206, 2011)Authors and Affiliations
Bibliographic Information
Book Title: Nonlinear Deformable-body Dynamics
Authors: Albert C. J. Luo
Series Title: Nonlinear Physical Science
DOI: https://doi.org/10.1007/978-3-642-12136-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
eBook ISBN: 978-3-642-12136-4Published: 08 June 2011
Series ISSN: 1867-8440
Series E-ISSN: 1867-8459
Edition Number: 1
Number of Pages: 430
Number of Illustrations: 51 b/w illustrations, 10 illustrations in colour
Additional Information: Jointly published with Higher Education Press
Topics: Classical Mechanics, Dynamical Systems and Ergodic Theory, Complex Systems, Classical and Continuum Physics, Solid Mechanics, Statistical Physics and Dynamical Systems