YaBeSH Engineering and Technology Library

    • Journals
    • PaperQuest
    • YSE Standards
    • YaBeSH
    • Login
    View Item 
    •   YE&T Library
    • ASME
    • Journal of Biomechanical Engineering
    • View Item
    •   YE&T Library
    • ASME
    • Journal of Biomechanical Engineering
    • View Item
    • All Fields
    • Source Title
    • Year
    • Publisher
    • Title
    • Subject
    • Author
    • DOI
    • ISBN
    Advanced Search
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Archive

    Convergence Behavior of High-Resolution Finite Element Models of Trabecular Bone

    Source: Journal of Biomechanical Engineering:;1999:;volume( 121 ):;issue: 006::page 629
    Author:
    G. L. Niebur
    ,
    A. C. Hsia
    ,
    T. M. Keaveny
    ,
    J. C. Yuen
    DOI: 10.1115/1.2800865
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The convergence behavior of finite element models depends on the size of elements used, the element polynomial order, and on the complexity of the applied loads. For high-resolution models of trabecular bone, changes in architecture and density may also be important. The goal of this study was to investigate the influence of these factors on the convergence behavior of high-resolution models of trabecular bone. Two human vertebral and two bovine tibial trabecular bone specimens were modeled at four resolutions ranging from 20 to 80 μm and subjected to both compressive and shear loading. Results indicated that convergence behavior depended on both loading mode (axial versus shear) and volume fraction of the specimen. Compared to the 20 μm resolution, the differences in apparent Young’s modulus at 40 μm resolution were less than 5 percent for all specimens, and for apparent shear modulus were less than 7 percent. By contrast, differences at 80 μm resolution in apparent modulus were up to 41 percent, depending on the specimen tested and loading mode. Overall, differences in apparent properties were always less than 10 percent when the ratio of mean trabecular thickness to element size was greater than four. Use of higher order elements did not improve the results. Tissue level parameters such as maximum principal strain did not converge. Tissue level strains converged when considered relative to a threshold value, but only if the strains were evaluated at Gauss points rather than element centroids. These findings indicate that good convergence can be obtained with this modeling technique, although element size should be chosen based on factors such as loading mode, mean trabecular thickness, and the particular output parameter of interest.
    keyword(s): Resolution (Optics) , Bone , Finite element model , Shear (Mechanics) , Biological tissues , Thickness , Density , Elasticity , Stress , Polynomials , Shear modulus AND Modeling ,
    • Download: (902.1Kb)
    • Show Full MetaData Hide Full MetaData
    • Get RIS
    • Item Order
    • Go To Publisher
    • Price: 5000 Rial
    • Statistics

      Convergence Behavior of High-Resolution Finite Element Models of Trabecular Bone

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/121761
    Collections
    • Journal of Biomechanical Engineering

    Show full item record

    contributor authorG. L. Niebur
    contributor authorA. C. Hsia
    contributor authorT. M. Keaveny
    contributor authorJ. C. Yuen
    date accessioned2017-05-08T23:58:57Z
    date available2017-05-08T23:58:57Z
    date copyrightDecember, 1999
    date issued1999
    identifier issn0148-0731
    identifier otherJBENDY-25898#629_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/121761
    description abstractThe convergence behavior of finite element models depends on the size of elements used, the element polynomial order, and on the complexity of the applied loads. For high-resolution models of trabecular bone, changes in architecture and density may also be important. The goal of this study was to investigate the influence of these factors on the convergence behavior of high-resolution models of trabecular bone. Two human vertebral and two bovine tibial trabecular bone specimens were modeled at four resolutions ranging from 20 to 80 μm and subjected to both compressive and shear loading. Results indicated that convergence behavior depended on both loading mode (axial versus shear) and volume fraction of the specimen. Compared to the 20 μm resolution, the differences in apparent Young’s modulus at 40 μm resolution were less than 5 percent for all specimens, and for apparent shear modulus were less than 7 percent. By contrast, differences at 80 μm resolution in apparent modulus were up to 41 percent, depending on the specimen tested and loading mode. Overall, differences in apparent properties were always less than 10 percent when the ratio of mean trabecular thickness to element size was greater than four. Use of higher order elements did not improve the results. Tissue level parameters such as maximum principal strain did not converge. Tissue level strains converged when considered relative to a threshold value, but only if the strains were evaluated at Gauss points rather than element centroids. These findings indicate that good convergence can be obtained with this modeling technique, although element size should be chosen based on factors such as loading mode, mean trabecular thickness, and the particular output parameter of interest.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleConvergence Behavior of High-Resolution Finite Element Models of Trabecular Bone
    typeJournal Paper
    journal volume121
    journal issue6
    journal titleJournal of Biomechanical Engineering
    identifier doi10.1115/1.2800865
    journal fristpage629
    journal lastpage635
    identifier eissn1528-8951
    keywordsResolution (Optics)
    keywordsBone
    keywordsFinite element model
    keywordsShear (Mechanics)
    keywordsBiological tissues
    keywordsThickness
    keywordsDensity
    keywordsElasticity
    keywordsStress
    keywordsPolynomials
    keywordsShear modulus AND Modeling
    treeJournal of Biomechanical Engineering:;1999:;volume( 121 ):;issue: 006
    contenttypeFulltext
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian
     
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian