Cement line motion in bone

Lakes, Roderic; Saha, Subrata

Affiliations

¹Department ofBiomedical Engineering, University of Iowa, Iowa City 52242

²Department ofEngineering and Applied Science, Yale University, New Haven, Connecticut 06520

Abstract

Compact bovine bone subjected to constant torsional load for long periods of time exhibits large anelastic effects. Displacements occur at the cement lines and are responsible for part or all of the long-term deformation. The absence of an asymptotic creep strain is consistent with an interpretation of the cement line as a viscous interface.

Links

DOI: 10.1126/science.432653

PubMed: 432653

WoS: A1979GT05200021

History

Received: 1978-12-01

Revised: 1979-01-19

Cited Works (5)

Year	Entry
1970	Yamada H. Strength of Biological Materials. Evans FG, ed. Baltimore, MD: Williams & Wilkins Company; 1970.
1962	Bassett CAL, Becker RO. Generation of electric potentials by bone in response to mechanical stress. Science. September 28, 1962;137(3535):1063.
1971	Katz JL. Hard tissue as a composite material, I: bounds on the elastic behavior. J Biomech. October 1971;4(5):455-473.
1973	Radin EL, Parker HG, Pugh JW, Steinberg RS, Paul IL, Rose RM. Response of joints to impact loading, III: relationship between trabecular microfractures and cartilage degeneration. J Biomech. January 1973;6(1):51-57.
1976	Hegedus DH, Cowin SC. Bone remodeling: small strain adaptive elasticity. J Elast. October 1976;6(4):337-352.

Cited By (56)

Year	Entry
1996	Egerer AK, Saha S, McMillan PJ, Rivera J. Morphology of the cement line in human bone and its relationship to bone strength. In: Proceedings of the 15th Southern Biomedical Engineering Conference. March 29-31, 1996; Dayton, OH.7-10.
1983	Parfitt AM. The physiologic and clinical significance of bone histomorphometric data. In: Recker RR, ed. Bone Histomorphometry: Techniques and Interpretation. Boca Raton, FL: Inc., CRC Press; 1983:143-223.
2001	Turner CH, Burr DB. Experimental techniques for bone mechanics. In: Cowin SC, ed. Bone Mechanics Handbook. 2nd ed. Boca Raton, FL: CRC Press; 2001:7-1–7-35.
2001	Lakes R. Viscoelastic properties of cortical bone. In: Cowin SC, ed. Bone Mechanics Handbook. 2nd ed. Boca Raton, FL: CRC Press; 2001:11-1–11-15.
2002	Currey JD. Bones: Structure and Mechanics. Princeton, NJ: Princeton University Press; 2002.
1988	Parfitt AM. Bone remodeling: relationship to the amount and structure of bone, and the pathogenesis and prevention of fractures. In: Riggs BL, Melton LJ III, eds. Osteoporosis: Etiology, Diagnosis, and Management. New York, NY: Raven Press; 1988:45-93.
1998	Martin RB, Burr DB, Sharkey NA. Skeletal Tissue Mechanics. New York, NY: Springer-Verlag; 1998.
2001	Griffin LV, Harris RM, Hayda RA, Rountree MS. Loading rate and torsional moments predict pilon fractures for antipersonnel blast mine loading. In: Proceedings of the 2001 International IRCOBI Conference on the Biomechanics of Impact. October 10-12, 2001; Isle of Man, UK.
2009	Chen P-Y, Stokes AG, McKittrick J. Comparison of the structure and mechanical properties of bovine femur bone and antler of the North American elk (Cervus elaphus canadensis). Acta Biomater. February 2009;5(2):693-706.
1987	Schaffler MB, Burr DB, Frederickson RG. Morphology of the osteonal cement line in human bone. Anat Rec. March 1987;217(3):223-228.
2005	Skedros JG, Holmes JL, Vajda EG, Bloebaum AD. Cement lines of secondary osteons in human bone are not mineral‐deficient: new data in a historical perspective. Anat Rec. September 2005;286A(1):781-803.
1993	Turner CH, Burr DB. Basic biomechanical measurements of bone: a tutorial. Bone. 1993;14(4):595-608.
2014	Bajaj D, Geissler JR, Allen MR, Burr DB, Fritton JC. The resistance of cortical bone tissue to failure under cyclic loading is reduced with alendronate. Bone. July 2014;64:57-64.
2012	Abdel-Wahab AA, Maligno AR, Silberschmidt VV. Micro-scale modelling of bovine cortical bone fracture: analysis of crack propagation and microstructure using X-FEM. Comp Mater Sci. February 2012;52(1):128-135.
2008	Budyn E, Hoc T, Jonvaux J. Fracture strength assessment and aging signs detection in human cortical bone using an X-FEM multiple scale approach. Comput Mech. September 2008;42(4):579-591.
2004	Doblaré M, García JM, Gomez MJ. Modelling bone tissue fracture and healing: a review. Eng Fract Mech. September 2004;71(13-14):1809-1840.
2007	Budyn É, Hoc T. Multiple scale modeling for cortical bone fracture in tension using X-FEM. Eur J Comput Mech. 2007;16(2):213-236.
2009	Budyn É, Hoc T. Analysis of micro fracture in human Haversian cortical bone under transverse tension using extended physical imaging. Int J Num Meth Eng. 2009;82(8):940-965.
1986	Park HC, Lakes RS. Cosserat micromechanics of human bone: strain redistribution by a hydration sensitive constituent. J Biomech. 1986;19(5):385-397.
1987	Krajcinovic D, Trafimow J, Sumarac D. Simple constitutive model for a cortical bone. J Biomech. 1987;20(8):779-784.
1988	Burr DB, Schaffler MB, Frederickson RG. Composition of the cement line and its possible mechanical role as a local interface in human compact bone. J Biomech. 1988;21(11):939-945.
1989	Caler WE, Carter DR. Bone creep-fatigue damage accumulation. J Biomech. 1989;22(6-7):625-635.
1992	Hogan HA. Micromechanics modeling of Haversian cortical bone properties. J Biomech. May 1992;25(5):549-556.
1993	Sasaki N, Nakayama Y, Yoshikawa M, Enyo A. Stress relaxation function of bone and bone collagen. J Biomech. December 1993;26(12):1369-1376.
1996	Courtney AC, Hayes WC, Gibson LJ. Age-related differences in post-yield damage in human cortical bone: experiment and model. J Biomech. November 1996;29(11):1463-1471.
1996	Zysset PK, Curnier A. A 3D damage model for trabecular bone based on fabric tensors. J Biomech. December 1996;29(12):1549-1558.
1999	Jepsen KJ, Davy DT, Krzypow DJ. The role of the lamellar interface during torsional yielding of human cortical bone. J Biomech. March 1999;32(3):303-310.
2011	Kim D-G, Shertok D, Tee BC, Yeni YN. Variability of tissue mineral density can determine physiological creep of human vertebral cancellous bone. J Biomech. June 3, 2011;44(9):1660-1665.
1983	Carter DR, Caler WE. Cycle-dependent and time-dependent bone fracture with repeated loading. J Biomech Eng. May 1983;105(2):166-170.
1999	Bowman SM, Gibson LJ, Hayes WC, McMahon TA. Results from demineralized bone creep tests suggest that collagen is responsible for the creep behavior of bone. J Biomech Eng. April 1999;121(2):253-258.
2000	Garner E, Lakes R, Lee T, Swan C, Brand R. Viscoelastic dissipation in compact bone: implications for stress-induced fluid flow in bone. J Biomech Eng. April 2000;122(2):166-172.
2004	Dong XN, Guo XE. Geometric determinants to cement line debonding and osteonal lamellae failure in osteon pushout tests. J Biomech Eng. June 2004;126(3):387-390.
2013	Okada H, Tamamura R, Kanno T, Nakada H, Yasuoka S, Arikawa K, Kato T, Kaneda T, Davies JE. Ultrastructure of cement lines. J Hard Tiss Biol. 2013;22(4):445-450.
1994	Zioupos P, Currey JD. The extent of microcracking and the morphology of microcracks in damaged bone. J Mater Sci. 1994;29(4):978-986.
2020	Gailani G, Cowin S. Theoretical analysis of the leakage through the cement line of a single osteon. J Mech Med Biol. March 2020;20(2):1950073.
1998	Boyce TM, Fyhrie DP, Glotkowski MC, Radin EL, Schaffler MB. Damage type and strain mode associations in human compact bone bending fatigue. J Orthop Res. May 1998;16(3):322-329.
2007	Gupta HS, Fratzl P, Kerschnitzki M, Benecke G, Wagermaier W, Kirchner HOK. Evidence for an elementary process in bone plasticity with an activation enthalpy of 1 eV. J R Soc Interface. April 22, 2007;4(3):277-282.
2005	Dong XN, Zhang X, Guo XE. Interfacial strength of cement lines in human cortical bone. Mech Chem Biosyst. June 2005;2(2):63-8.
2020	Lovrenić-Jugović M, Tonković Z, Skozrit I. Experimental and numerical investigation of cyclic creep and recovery behavior of bovine cortical bone. Mech Mater. July 2020;146:103407.
2008	Gupta HS, Zioupos P. Fracture of bone tissue: the ‘hows’ and the ‘whys’. Med Eng Phys. December 2008;30(10):1209-1226.
1993	Lakes R. Materials with structural hierarchy. Nature. February 11, 1993;361(6412):511-515.
2012	Moore E. The Frequency, Aqueous Solution, Stress Amplitude, Temperature (FAST) Machine: A Device Proposed for Accelerated Fatigue Testing of Cortical Bone [Master's thesis]. Cleveland, OH: Case Western Reserve University; August 2012.
2002	Dong X. Micromechanics of Osteonal Cortical Bone [PhD thesis]. Columbia University; 2002.
1994	Zysset P. A Constitutive Law for Trabecular Bone [PhD thesis]. Lausanne, Switzerland: École Polytechnique Fédérale de Lausanne; 1994.
2022	Peruzzi CRP. Nanoscale Deformation Mechanisms and Yield Prediction of Lamellar Bone [PhD thesis]. Swiss Federal Institute of Technology Zürich; 2022.
1997	Bowman SM. Creep of Trabecular Bone [PhD thesis]. Cambridge, MA: Harvard University; May 1997.
2011	Abdel-Wahab AA-GM. Experimental and Numerical Analysis of Deformation and Fracture of Cortical Bone Tissue [PhD thesis]. Loughborough University; August 2011.
2002	Egerer AK. The Relationship Between the Osteonal Cement Line and Bone Strength [PhD thesis]. Loma Linda University; June 2002.
2010	Johnson TPM. On the Rate-Dependent Constitutive Response of Cortical and Trabecular Bone [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; September 2010.
2006	Leng H. Micro-Computed Tomography of Microdamage in Cortical Bone [PhD thesis]. University of Notre Dame; May 2006.
2011	Wu Z. Measures of Bone Quality and Their Relationship to Bone Mechanical Properties [PhD thesis]. University of Notre Dame; December 2011.
1983	Rouhana SW. Fluid Flow and Mechanical Damping in Bovine Cortical Bone [PhD thesis]. Troy, NY: Rensselaer Polytechnic Institute; February 1983.
2005	George WT. Multiaxial Fracture Characteristics of Aging Human Bone [PhD thesis]. Troy, NY: Rensselaer Polytechnic Institute; April 2005.
1996	Adams DJ. Mechanical Factors Initiating Appositional Bone Formation [PhD thesis]. University of Iowa; May 1996.
2001	Lee T. Viscoelastic Properties of Biological and High-Damping Composite Materials [PhD thesis]. University of Wisconsin – Madison; 2001.
2001	Brown CU. Time-Dependent Circumferential Deformation of Cortical Bone Subjected to Internal Radial Loading [PhD thesis]. West Virginia University; 2001.