Biomechanics Concepts and Computation

Thoroughly revised and updated for the second edition, this comprehensive textbook integrates basic and advanced concepts of mechanics with numerical methods and biomedical applications. Coverage is expanded to include a complete introduction to vector and tensor calculus, and new or fully updated chapters on biological materials and continuum mechanics, motion, deformation and rotation, and constitutive modelling of solids and fluids. Topics such as kinematics, equilibrium, and stresses and strains are also included, as well as the mechanical behaviour of fibres and the analysis of one-dimensional continuous elastic media. Numerical solution procedures based on the Finite Element Method are presented, with accompanying MATLAB-based software and dozens of new biomedical engineering examples and exercises allowing readers to practise and improve their skills. Solutions for instructors are also available online. This is the definitive guide for both undergraduate and graduate students taking courses in biomechanics.

1. Vector and tensor calculus; 2. The concepts of force and moment; 3. Static equilibrium; 4. The mechanical behaviour of fibres; 5. Fibres: time-dependent behaviour; 6. Analysis of a one-dimensional continuous elastic medium; 7. Biological materials and continuum mechanics; 8. Stress in three-dimensional continuous media; 9. Motion: the time as an extra dimension; 10. Deformation and rotation, deformation rate and spin; 11. Local balance of mass, momentum and energy; 12. Constitutive modelling of solids and fluids; 13. Solution strategies for solid and fluid mechanics problems; 14. Numerical solution of one-dimensional diffusion equation; 15. The one-dimensional convection-diffusion equation; 16. The three-dimensional convection-diffusion equation; 17. Shape functions and numerical integration; 18. Infinitesimal strain elasticity problems.

Cees Oomens is Full Professor in Biomechanics of Soft Tissues at the Technische Universiteit Eindhoven, The Netherlands.
Marcel Brekelmans is an Associate Professor in Continuum Mechanics at the Technische Universiteit Eindhoven, The Netherlands.
Sandra Loerakker is Assistant Professor in Modelling in Mechanobiology at the Technische Universiteit Eindhoven, The Netherlands, where she also teaches courses in numerical methods for solving continuum mechanics problems.
Frank Baaijens is Full Professor in Soft Tissue Biomechanics and Tissue Engineering at the Technische Universiteit Eindhoven, The Netherlands. He is currently the university's Rector Magnificus.