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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…mehr

Produktbeschreibung
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, practising 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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Autorenporträt
Ahmed A. Shabana, PhD, is University Distinguished Professor and the Richard and Loan Hill Professor of Engineering at the University of Illinois at Chicago. Professor Shabana is the author of several books and serves on the Editorial Board of several journals. He served as the Chair of the ASME Design Engineering Division, the Founding Chair of the ASME Technical Committee on Multibody Systems and Nonlinear Dynamics, and the Founding Chair of the ASME International Conference of Multibody Systems, Nonlinear Dynamics, and Control. Professor Shabana is a Fellow of the American Society of Mechanical Engineers (ASME) and a Fellow of the Society of Automotive Engineering (SAE International). He has received several awards, including the Humboldt Prize, the Fulbright Research Scholar Award, the ASME D'Alembert Award, and Honorary Doctorate, Honorary Professorship, and Best Paper Awards, as well as several teaching and research awards from the University of Illinois at Chicago.