Biomechanics: Concepts and Computation Book

1 Vector calculus 1

2 The concepts of force and moment 10

3 Static equilibrium 37

4 The mechanical behaviour of fibres 50

5 Fibres: time-dependent behaviour 69

6 Analysis of a one-dimensional continuous elastic medium 99

7 Biological materials and continuum mechanics 114

8 Stress in three-dimensional continuous media 132

9 Motion: the time as an extra dimension 156

10 Deformation and rotation, deformation rate and spin 170

11 Local balance of mass, momentum and energy 186

12 Constitutive modelling of solids and fluids 194

13 Solution strategies for solid and fluid mechanics problems 210

14 Solution of the one-dimensional diffusion equation by means of the Finite Element Method 232

15 Solution of the one-dimensional convection-diffusion equation by means of the Finite Element Method 264

16 Solution of the three-dimensional convection-diffusion equation by means of the Finite Element Method 277

17 Shape functions and numerical integration 295

18 Infinitesimal strain elasticity problems 313

References 329

Index 331