Meshless Methods in Biomechanics Bone Tissue Remodelling Analysis /
This book presents the complete formulation of a new advanced discretization meshless technique: the Natural Neighbour Radial Point Interpolation Method (NNRPIM). In addition, two of the most popular meshless methods, the EFGM and the RPIM, are fully presented. Being a truly meshless method, the maj...
| Published in: | Springer eBooks |
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| Main Author: | |
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Series: | Lecture Notes in Computational Vision and Biomechanics,
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/978-3-319-06400-0 Перейти в каталог НБ ТГУ |
Table of Contents:
- 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.