Computational Continuum Mechanics

This new edition presents the theory of continuum mechanics using computational methods. Updated with computational geometry and finite element analysis.

Ahmed A. Shabana (Author)

9781107016026, Cambridge University Press

Hardback, published 12 December 2011

340 pages, 25 b/w illus. 102 exercises
25.9 x 18.4 x 2.5 cm, 0.78 kg

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.

Subject Areas: Mechanics of fluids [TGMF], Mechanics of solids [TGMD], Materials science [TGM], Mechanical engineering [TGB], Mechanical engineering & materials [TG], Fluid mechanics [PHDF]