Modeling modulus reduction in bovine trabecular bone damaged in compressio

Arthur Moore, T. L.; Gibson, L. J.

Affiliations

¹Division of Health Sciences and Technology, Harvard Medical School–Massachusetts Institute of Technology, Cambridge, MA 02139;

²Orthopedic Biomechanics Laboratory, Beth Israel Deaconess Medical Center,Boston, MA 02215

³Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139

Abstract

Loading bone beyond its yield point creates microdamage, leading to reduction in stiffness. Previously, we related microdamage accumulation to changes in mechanical properties. Here, we develop a model that predicts stiffness loss based on the presence of microdamage. Modeling is done at three levels: (1) a single trabecula, (2) a cellular solid consisting of intact, damaged, and fractured trabeculae, and (3) a specimen with a localized damage band. Predictions of a reduced modulus agree well with experimental measured modulus reductions of post-yield compression of bovine trabecular bone. The predicted reduced modulus is relatively insensitive to changes in the input parameters.

Links

DOI: 10.1115/1.1407828

PubMed: 11783733

WoS: 000172872100013

History

Received: 2000-08-29

Revised: 2001-06-07

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Cited By (14)

Year	Entry
2004	Hellmich C, Ulm F-J, Dormieux L. Can the diverse elastic properties of trabecular and cortical bone be attributed to only a few tissue-independent phase properties and their interactions? arguments from a multiscale approach. Biomech Model Mechanobiol. June 2004;2(4):219-238.
2010	Fang G, Ji B, Liu XS, Guo XE. Quantification of trabecular bone microdamage using the virtual internal bond model and the individual trabeculae segmentation technique. Comput Methods Biomech Biomed Eng. October 2010;13(5):605-15.
2005	Morgan EF, Yeh OC, Keaveny TM. Damage in trabecular bone at small strains. Euro J Morphol. February–April 2005;42(1-2):13-21.
2006	Guedes RM, Simões JA, Morais JL. Viscoelastic behaviour and failure of bovine cancellous bone under constant strain rate. J Biomech. 2006;39(1):49-60.
2010	Dux SJ, Ramsey D, Chu EH, Rimnac CM, Hernandez CJ. Alterations in damage processes in dense cancellous bone following gamma-radiation sterilization. J Biomech. 2010;43(8):1509-1513.
2011	Wolfram U, Wilke H-J, Zysset PK. Damage accumulation in vertebral trabecular bone depends on loading mode and direction. J Biomech. April 7, 2011;44(7):1164-1169.
2002	Arthur Moore TL, Gibson LJ. Microdamage accumulation in bovine trabecular bone in uniaxial compression. J Biomech Eng. February 2002;124(1):63-71.
2003	Moore TLA, Gibson LJ. Fatigue microdamage in bovine trabecular bone. J Biomech Eng. December 2003;125(6):769-776.
2003	Bredbenner TL. Damage Modeling of Vertebral Trabecular Bone [PhD thesis]. Cleveland, OH: Case Western Reserve University; January 2003.
2014	Carretta R. Post-Yield Mechanics and Material Composition of Single Trabeculae: A Combined Experimental and Modelling Approach [PhD thesis]. Swiss Federal Institute of Technology Zürich; 2014.
2004	Wang X. Measurement and Analysis of Microdamage in Bone [PhD thesis]. University of Notre Dame; December 2004.
2017	Kreipke TC. Structural, Mechanical, and Biological Relationships of Trabecular Bone in Osteoporosis [PhD thesis]. Notre Dame, IN: University of Notre Dame; April 2017.
2012	Tozzi G. In Vitro Studies of Bone-Cement Interface and Related Work on Cemented Acetabular Replacement [PhD thesis]. Portsmouth, England: University of Portsmouth; May 29, 2012.
2011	Wolfram U. Mechanical Multiscale Characterisation of Vertebral Trabecular Bone for the Prediction of Vertebral Fracture Risk [PhD thesis]. University of Ulm; 2011.