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A homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stress

dc.contributor.authorHollister, Scott J.en_US
dc.contributor.authorBrennan, J. M.en_US
dc.contributor.authorKikuchi, Noboruen_US
dc.date.accessioned2006-04-10T18:15:36Z
dc.date.available2006-04-10T18:15:36Z
dc.date.issued1994-04en_US
dc.identifier.citationHollister, S. J., Brennan, J. M., Kikuchi, N. (1994/04)."A homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stress." Journal of Biomechanics 27(4): 433-444. <http://hdl.handle.net/2027.42/31683>en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/B6T82-4BYSHS4-XK/2/e7791c020c671526154f684d7c5b47a5en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/31683
dc.identifier.urihttp://www.ncbi.nlm.nih.gov/sites/entrez?cmd=retrieve&db=pubmed&list_uids=8188724&dopt=citationen_US
dc.description.abstractA homogenization sampling procedure is introduced which allows computation of effective trabecular bone stiffness and individual trabecula level stress based on precise models of trabecular bone architecture. Three-dimensional digitized images of 53 trabecular bone specimens with a resolution of 50 [mu]m per voxel were directly converted into three-dimensional finite element meshes by making each voxel an 8-node isoparametric brick element. Owing to the large mesh of 8000 elements, an element-by-element preconditioned conjugate gradient (EBEPCG) program was written to solve the local homogenization finite element equations. Predicted effective stiffness measures correlated well with experimental results (R2 &gt; 0.73). The predicted effective stiffnesses tended to under estimate the experimental values. Average absolute errors in effective stiffness estimates ranged between 31 and 38% for the sampling procedure compared to a range 49-150% for a regression fit to volume fraction squared. Trabecula level stress ranged between -200 and +300 times that predicted by analyzing trabecular bone as a continuum. Both tensile and compressive tissue stresses were engendered by a continuum compressive stress. Trabecula level strain energy density (SED) ranged between 0 and 100 times the continuum SED value for two trabecular specimens. In conclusion, the homogenization sampling procedure consistently predicted the influence of trabecular bone architecture on effective stiffness. It can also provide trabecular tissue stress and strain estimates for arbitrary global loading of whole bones. Tissue stresses and strains showed large variations compared to corresponding continuum level quantities.en_US
dc.format.extent1408033 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherElsevieren_US
dc.titleA homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stressen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelKinesiology and Sportsen_US
dc.subject.hlbsecondlevelSurgery and Anesthesiologyen_US
dc.subject.hlbsecondlevelInternal Medicine and Specialtiesen_US
dc.subject.hlbtoplevelHealth Sciencesen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumOrthopaedic Research Laboratories, Section of Orthopaedic Surgery, University of Michigan, Ann Arbor, MI 48109, U.S.A.en_US
dc.contributor.affiliationumOrthopaedic Research Laboratories, Section of Orthopaedic Surgery, University of Michigan, Ann Arbor, MI 48109, U.S.A.en_US
dc.contributor.affiliationumComputational Mechanics Laboratory, Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109, U.S.A.en_US
dc.identifier.pmid8188724en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/31683/1/0000619.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1016/0021-9290(94)90019-1en_US
dc.identifier.sourceJournal of Biomechanicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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