Meshless Methods in Biomechanics - Bone Tissue Remodelling Analysis
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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.
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