LEADER 05045nam 22007935 450 001 9910299744403321 005 20200701124640.0 010 $a3-319-06400-2 024 7 $a10.1007/978-3-319-06400-0 035 $a(CKB)3710000000114406 035 $a(EBL)1731124 035 $a(OCoLC)880309379 035 $a(SSID)ssj0001239493 035 $a(PQKBManifestationID)11951154 035 $a(PQKBTitleCode)TC0001239493 035 $a(PQKBWorkID)11206497 035 $a(PQKB)11357488 035 $a(MiAaPQ)EBC1731124 035 $a(DE-He213)978-3-319-06400-0 035 $a(PPN)178781215 035 $a(EXLCZ)993710000000114406 100 $a20140514d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMeshless Methods in Biomechanics $eBone Tissue Remodelling Analysis /$fby Jorge Belinha 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (328 p.) 225 1 $aLecture Notes in Computational Vision and Biomechanics,$x2212-9391 ;$v16 300 $aDescription based upon print version of record. 311 $a3-319-06399-5 320 $aIncludes bibliographical references and index. 327 $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. 330 $aThis book presents the complete formulation of a new advanced discretization meshless technique: the Natural Neighbour Radial Point Interpolation Method (NNRPIM). In addition, two of the most popular meshless methods, the EFGM and the RPIM, are fully presented. Being a truly meshless method, the major advantages of the NNRPIM over the FEM, and other meshless methods, are the remeshing flexibility and the higher accuracy of the obtained variable field. Using the natural neighbour concept, the NNRPIM permits to determine organically the influence-domain, resembling the cellulae natural behaviour. This innovation permits the analysis of convex boundaries and extremely irregular meshes, which is an advantage in the biomechanical analysis, with no extra computational effort associated.   This volume shows how to extend the NNRPIM to the bone tissue remodelling analysis, expecting to contribute with new numerical tools and strategies in order to permit a more efficient numerical biomechanical analysis. 410 0$aLecture Notes in Computational Vision and Biomechanics,$x2212-9391 ;$v16 606 $aBiomedical engineering 606 $aMechanics 606 $aMechanics, Applied 606 $aNumerical analysis 606 $aComputer mathematics 606 $aMechanical engineering 606 $aBiomedical Engineering and Bioengineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T2700X 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aMechanical Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T17004 615 0$aBiomedical engineering. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aNumerical analysis. 615 0$aComputer mathematics. 615 0$aMechanical engineering. 615 14$aBiomedical Engineering and Bioengineering. 615 24$aSolid Mechanics. 615 24$aNumerical Analysis. 615 24$aComputational Science and Engineering. 615 24$aMechanical Engineering. 676 $a616.2407 700 $aBelinha$b Jorge$4aut$4http://id.loc.gov/vocabulary/relators/aut$0875352 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299744403321 996 $aMeshless Methods in Biomechanics$91954340 997 $aUNINA