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Meshless Methods in Biomechanics

Bone Tissue Remodelling Analysis

  • Jorge¬†Belinha

Part of the Lecture Notes in Computational Vision and Biomechanics book series (LNCVB, volume 16)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Jorge Belinha
    Pages 1-14
  3. Jorge Belinha
    Pages 15-40
  4. Jorge Belinha
    Pages 41-87
  5. Jorge Belinha
    Pages 89-151
  6. Jorge Belinha
    Pages 153-219
  7. Jorge Belinha
    Pages 221-249
  8. Jorge Belinha
    Pages 251-316
  9. Back Matter
    Pages 317-320

About this book

Introduction

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 major advantages of the NNRPIM over the FEM, and other meshless methods, are the remeshing flexibility and the higher accuracy of the obtained variable field. Using the natural neighbour concept, the NNRPIM permits to determine organically the influence-domain, resembling the cellulae natural behaviour. This innovation permits the analysis of convex boundaries and extremely irregular meshes, which is an advantage in the biomechanical analysis, with no extra computational effort associated.  

This volume shows how to extend the NNRPIM to the bone tissue remodelling analysis, expecting to contribute with new numerical tools and strategies in order to permit a more efficient numerical biomechanical analysis.

Keywords

Biomechanics Bone Tissue Remodelling Analysis FEM Meshless Methods NNRPIM Natural Neighbour Radial Point Interpolator Method

Authors and affiliations

  • Jorge¬†Belinha
    • 1
  1. 1.Mechanical Engineering DepartmentUniversidade do PortoPortoPortugal

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-06400-0
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-06399-7
  • Online ISBN 978-3-319-06400-0
  • Series Print ISSN 2212-9391
  • Series Online ISSN 2212-9413
  • Buy this book on publisher's site