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Solid Mechanics
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Ahmed Shabana, University of Illinois, Chicago
This book presents the nonlinear theory of continuum mechanics and demonstrates its use in developing nonlinear computer formulations for large displacement dynamic analysis. Basic concepts used in continuum mechanics are presented and used to develop nonlinear general finite element formulations that can be effectively used in large displacement analysis. The book considers two nonlinear finite element dynamic formulations: a general large deformation finite element formulation and a formulation that can efficiently solve small deformation problems that characterize very stiff structures. The book presents material clearly and systematically, assuming the reader has only basic knowledge in matrix and vector algebra and dynamics. The book is designed for use by advanced undergraduates and first-year graduate students. It is also a reference for researchers, practicing engineers, and scientists working in computational mechanics, bio-mechanics, computational biology, multibody system dynamics, and other fields of science and engineering using the general continuum mechanics theory.
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Oliver O'Reilly, University of California, Berkeley
This book has sufficient material for two full-length semester courses in advanced engineering dynamics. As such it contains two tracks (which overlap in places). During the first course a Newton-Euler approach is used, followed by a Lagrangian approach in the second. In discussing rotations for the second course, time constraints permit a detailed discussion of only the Euler angle parameterization of a rotation tensor from Chapter 6 and a brief mention of the examples on rigid body dynamics discussed in Chapter 9. The text includes invaluable exercises at the end of each chapter that are highly structured and intended as a self-study aid. Validated solutions are provided, many of which can be performed in simulation using MATLAB (r) or Mathematica (r).
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Jerry Ginsberg, Georgia Institute of Technology
This text is a modern vector oriented treatment of classical dynamics and its application to engineering problems. Based on Ginsberg?? Advanced Engineering Dynamics Second Edition, it develops a broad spectrum of kinematical concepts, which provide the framework for formulations of kinetics principles following the Newton-Euler and analytical approaches. This fresh treatment features many expanded and new derivations, with an emphasis on both breadth and depth and a focus on making the subject accessible to individuals from a broad range of backgrounds.
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J. N. Reddy, Texas A & M University
This textbook on continuum mechanics reflects the modern view that scientists and engineers should be trained to think and work in multidisciplinary environments. The book is ideal for advanced undergraduate and beginning graduate students. The book features: derivations of the basic equations of mechanics in invariant (vector and tensor) form and specializations of the governing equations to various coordinate systems; numerous illustrative examples; chapter-end summaries; and exercise problems to test and extend the understanding of concepts presented.
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C. Ross Ethier, University of Toronto
Craig A. Simmons, University of Toronto
Introductory Biomechanics is a new, integrated text written specifically for engineering students. It provides a broad overview of this important branch of the rapidly growing field of bioengineering. A wide selection of topics is presented, ranging from the mechanics of single cells to the dynamics of human movement. No prior biological knowledge is assumed and in each chapter, the relevant anatomy and physiology are first described. The biological system is then analyzed from a mechanical viewpoint by reducing it to its essential elements, using the laws of mechanics and then tying mechanical insights back to biological function. This integrated approach provides students with a deeper understanding of both the mechanics and the biology than from qualitative study alone. The text is supported by a wealth of illustrations, tables and examples, a large selection of suitable problems and hundreds of current references, making it an essential textbook for any biomechanics course. C. Ross Ethier is a professor of Mechanical and Industrial Engineering, the Canada Research Chair in Computational Mechanics, and the Director of the Institute of Biomaterials and Biomedical Engineering at the University of Toronto, with cross-appointment to the Department of Ophthalmology & Vision Sciences. His research focuses on biomechanical factors in glaucoma and blood flow and mass transfer in the large arteries. He has taught biomechanics for over ten years. Craig A. Simmons is the Canada Research Chair in Mechanobiology and an assistant professor of Mechanical and Industrial Engineering at the University of Toronto, with cross-appointments to the Institute of Biomaterials and Biomedical Engineering and the Faculty of Dentistry. His research interests include cell and tissue biomechanics and cell mechanobiology, particularly as it relates to tissue engineering and heart valve disease.
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Marco Amabili, Universit? degli Studi, Parma
This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.
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