Computational Continuum Mechanics

This second edition presents the theory of continuum mechanics using computational methods. The text covers a broad range of topics including general problems of large rotation and large deformations and the development and limitations of finite element formulations in solving such problems. Dr Shabana introduces theories on motion kinematics, strain, forces and stresses and goes on to discuss linear and nonlinear constitutive equations, including viscoelastic and plastic constitutive models. General nonlinear continuum mechanics theory is used to develop small and large finite element formulations which correctly describe rigid body motion for use in engineering applications. This second edition features a new chapter that focuses on computational geometry and finite element analysis. This book is ideal for graduate and undergraduate students, professionals and researchers who are interested in continuum mechanics.

1. Introduction; 2. Kinematics; 3. Forces and stresses; 4. Constitutive equations; 5. Plasticity formulations; 6. Finite element formulations: large-deformation, large-rotation problem; 7. Finite element formulation: small-deformation, large-rotation problem; 8. Computational geometry and finite element analysis.

This text presents the theory of continuum mechanics using computational methods. Covered are general problems of large rotation and large deformations, the development of finite element formulations and the limitations of existing finite element formulations. This second edition features new material on computational geometry and finite element analysis.

Ahmed Shabana is University Distinguished Professor and the Richard and Loan Hill Professor of Engineering at the University of Illinois, Chicago. Professor Shabana is author of the books Dynamics of Multibody Systems (3rd edition), Computational Dynamics (3rd edition), Railroad Vehicle Dynamics, Theory of Vibration: An Introduction (2nd edition) and Vibration of Discrete and Continuous Systems (2nd edition). He has served on the editorial board of several journals and he is the Founding Chair of the ASME Technical Committee on Multi-Body Systems and Nonlinear Dynamics. He is a Fellow of the American Society of Mechanical Engineers (ASME).