000 03938nam a22005415i 4500
001 978-3-319-06400-0
003 DE-He213
005 20200421111202.0
007 cr nn 008mamaa
008 140514s2014 gw | s |||| 0|eng d
020 _a9783319064000
_9978-3-319-06400-0
024 7 _a10.1007/978-3-319-06400-0
_2doi
050 4 _aR856-857
072 7 _aMQW
_2bicssc
072 7 _aTEC009000
_2bisacsh
082 0 4 _a610.28
_223
100 1 _aBelinha, Jorge.
_eauthor.
245 1 0 _aMeshless Methods in Biomechanics
_h[electronic resource] :
_bBone Tissue Remodelling Analysis /
_cby Jorge Belinha.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXIII, 320 p. 208 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Computational Vision and Biomechanics,
_x2212-9391 ;
_v16
505 0 _a1. 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.
520 _aThis 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.
650 0 _aEngineering.
650 0 _aComputer mathematics.
650 0 _aNumerical analysis.
650 0 _aStructural mechanics.
650 0 _aMechanical engineering.
650 0 _aBiomedical engineering.
650 1 4 _aEngineering.
650 2 4 _aBiomedical Engineering.
650 2 4 _aStructural Mechanics.
650 2 4 _aNumerical Analysis.
650 2 4 _aComputational Science and Engineering.
650 2 4 _aMechanical Engineering.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319063997
830 0 _aLecture Notes in Computational Vision and Biomechanics,
_x2212-9391 ;
_v16
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-06400-0
912 _aZDB-2-ENG
942 _cEBK
999 _c53865
_d53865