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  • © 2014

Meshless Methods in Biomechanics

Bone Tissue Remodelling Analysis

Authors:

  • Presents a detailed description of the meshless procedure, enabling the reader to understand and develop a meshless code
  • Contains two extended chapters on bone tissue remodelling analysis for different bone structures
  • An efficient and easy bone tissue remodelling algorithm is explained and presented, along with several practical examples which can be reproduced by the reader
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction

    • Jorge Belinha
    Pages 1-14
  3. Solid Mechanics Fundamentals

    • Jorge Belinha
    Pages 15-40
  4. Meshless Methods Introduction

    • Jorge Belinha
    Pages 41-87
  5. Shape Functions

    • Jorge Belinha
    Pages 89-151
  6. Solid Mechanics Problems

    • Jorge Belinha
    Pages 153-219
  7. Bone Tissue

    • Jorge Belinha
    Pages 221-249
  8. Bone Tissue Remodelling Analysis

    • Jorge Belinha
    Pages 251-316
  9. Back Matter

    Pages 317-320

About this book

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.

Authors and Affiliations

  • Mechanical Engineering Department, Universidade do Porto, Porto, Portugal

    Jorge Belinha

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access