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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Belinha, Jorge (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Lecture Notes in Computational Vision and Biomechanics, 16
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.