Meshless Methods in Biomechanics: Bone Tissue Remodelling Analysis

1. Introduction.- 1.1 Meshless Methods.- 1.2 Natural Neighbour Radial Point Interpolation Method.- 1.3 Bone tissue remodelling analysis.- 1.4 Book Purpose.- 1.5 Meshless method software.- 1.6 Book arrangement.- 2. Solid Mechanics Fundamentals.- 2.1 Continuum formulation.- 2.2 Weak form.- 2.3 Discrete system of equations.- 3. Meshless Methods Introduction.- 3.1 Meshless generic procedure.- 3.2 Nodal connectivity.- 3.3 Numerical integration.- 3.4 Numerical implementation.- 4. Shape Functions.- 4.1 Introduction.- 4.2 Support-Domain.- 4.3 Moving Least Squares.- 4.4 Radial Point Interpolators.- 5. Solid Mechanics Problems.- 5.1 Solid Mechanics NNRPIM flow chart.- 5.2 RPI shape function patch test.- 5.3 Elastostatic numerical examples.- 5.4 Elastodynamic numerical examples.- 6. Bone Tissue.- 6.1 Bone biology: Basic concepts.- 6.2 Bone tissue mechanical properties.- 6.3 Bone remodelling algorithms.- 7. Bone Tissue Remodelling Analysis.- 7.1 Bone Patch Analysis.- 7.2 Bone Structures.- 7.3 Implants.- 8. References.- 9. Subject Index.