Material properties of femoral cancellous bone in axial loading, II:​ time dependent properties

Zilch, Hans<sup>1</sup>; Rohlmann, Antonius<sup>1</sup>; Bergmann, Georg<sup>1</sup>; Kölbel, Reinhard<sup>1</sup>

Affiliations

¹Orthopadische Klinik und Poliklinik der Freien Universitat Berlin im Oskar-Helene-Heim (Director: Prof Dr G Friedebold), Biomechanik-Labor (Leiter: PD Dr R Kolbel), Clayallee 229, D-1000 Berlin 33

Abstract (English)

In part I of this communication we reported on some time independent material properties of cancellous bone specimens from different regions of human femora. In part II we will report on our investigations of the time dependent behaviour, i.e. stress relaxation and creep. Cylindrical specimens were obtained from the head and condyles of pairs of cadaveric femora and subjected to axial loading. The data were evaluated statistically. The medianL values for relaxation of cancellous bone were greater in the femoral head than in the condyles, greater proximally than distally and greater medially than laterally in the condyles. The distribution of creep was found to be the reverse. The correlation analysis showed that a linear correlation between compressive stength, apparent density and the time dependent properties cannot be assumed.

The time dependent properties reported here would appear to demonstrate the visco-elastic behaviour of cancellous bone.

An experimental foundation and explanation is presented for the clinical practice of re-tightening cancellous bone screws one time only.

Abstract (German)

Materialeigenschaften der Spongiosa interessieren u.a. wegen der Verankerung der Prothesen überwiegend im spongiösen Bereich des Knochens. Im 2. Teil der Arbeit über Materialeigenschaften der Spongiosa wird das zeitabhängige Materialverhalten — Kriechen und Relaxation — von zylindrischen Proben der Femurspongiosa untersucht. Die statistischen Kennzahlen fur Kriechen, Relaxation, Bruchfestigkeit and scheinbare Dichte werden für verschiedene Bezirke des Femurkopfes and der Femurkondylen angegeben. Unterschiedliche Werte für Relaxation und Kriechen wurden für die Spongiosa des Kopfes und der Kondylen gefunden. Innerhalb der Kondylen wurde medial für die Relaxation ein größerer Mittelwert und für das Kriechen ein kleinerer Mittelwert ermittelt als lateral. Die berechneten Korrelationskoeffizienten nach Bravais und Pearsson lassen bei einem Signifikanzniveau von 1% keinen linearen Zusammenhang zwischen Kriechen bzw. Relaxation und Bruchfestigkeit bzw. scheinbarer Dichte vermuten.

Die hier mitgeteilten zeitabhängigen Werte der Spongiosa zeigen das viscoelastische Verhalten dieses Materials. Zum Schluß wird experimentell belegt, warum z. B. nur ein einmaliges Nachziehen von Spongiosaschrauben sinnvoll erscheint.

Links

DOI: 10.1007/BF00380706

PubMed: 7458609

WoS: A1980KU38700003

History

Received: 1980-04-17

Cited Works (3)

Year	Entry
1974	Schoenfeld CM, Lautenschlager EP, Meyer PR. Mechanical properties of human cancellous bone in the femoral head. Med Biol Eng. 1974;12(3):313-317.
1973	Pugh JW, Rose RM, Radin EL. Elastic and viscoelastic properties of trabecular bone: dependence on structure. J Biomech. 1973;6(5):475-485.
1980	Rohlmann A, Zilch H, Bergmann G, Kölbel R. Material properties of femoral cancellous bone in axial loading, I: time independent properties. Arch Orthop Trauma Surg. September 1980;97(2):95-102.

Cited By (28)

Year	Entry
1994	Linde F. Elastic and viscoelastic properties of trabecular bone by a compression testing approach. Dan Med Bull. April 1994;41(2):119-138.
2001	Keaveny TM, Morgan EF, Niebur GL, Yeh OC. Biomechanics of trabecular bone. Annu Rev Biomed Eng. 2001;3:307-333.
1985	Linde F, Hvid I, Jensen NC. Material properties of cancellous bone in repetitive axial loading. Eng Med. October 1985;14(4):173-177.
1987	Linde F, Hvid I. Stiffness behaviour of trabecular bone specimens. J Biomech. 1987;20(1):83-89.
1991	Linde F, Nørgaard P, Hvid I, Odgaard A, Søballe K. Mechanical properties of trabecular bone: dependency on strain rate. J Biomech. 1991;24(9):803-809.
1994	Bowman SM, Keaveny TM, Gibson LJ, Hayes WC, McMahon TA. Compressive creep behavior of bovine trabecular bone. J Biomech. March 1994;27(3):301-310.
1994	Deligianni DD, Maris A, Missirlis YF. Stress relaxation behaviour of trabecular bone specimens. J Biomech. December 1994;27(12):1469-1476.
1996	Zysset PK, Curnier A. A 3D damage model for trabecular bone based on fabric tensors. J Biomech. December 1996;29(12):1549-1558.
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.
2009	Burgers TA, Lakes RS, García-Rodríguez S, Piller GR, Ploeg H-L. Post-yield relaxation behavior of bovine cancellous bone. J Biomech. 2009;42(16):2728-2733.
2011	Juszczyk MM, Cristofolini L, Viceconti M. The human proximal femur behaves linearly elastic up to failure under physiological loading conditions. J Biomech. August 11, 2011;44(12):2259-2266.
1993	Keaveny TM, Hayes WC. A 20-year perspective on the mechanical properties of trabecular bone. J Biomech Eng. November 1993;115(4B):534-542.
1998	Bowman SM, Guo XE, Cheng DW, Keaveny TM, Gibson LJ, Hayes WC, McMahon TA. Creep contributes to the fatigue behavior of bovine trabecular bone. J Biomech Eng. October 1998;120(5):647-654.
2001	Morgan EF, Yeh OC, Chang WC, Keaveny TM. Nonlinear behavior of trabecular bone at small strains. J Biomech Eng. February 2001;123(1):1-9.
2003	Bredbenner TL. Damage Modeling of Vertebral Trabecular Bone [PhD thesis]. Cleveland, OH: Case Western Reserve University; January 2003.
2006	Warden KE. Localized Trabecular Damage Adjacent to Interbody Fusion Devices [PhD thesis]. Cleveland, OH: Case Western Reserve University; May 2006.
2004	İnceoğlu S. Failure of Pedicle Screw-Bone Interface: Biomechanics of Pedicle Screw Insertion and Pullout [PhD thesis]. Cleveland State University; December 2004.
2018	Xie S. Characterisation of Time-Dependent Mechanical Behaviour of Trabecular Bone and Its Constituents [PhD thesis]. Edinburgh, Scotland: University of Edinburgh; 2018.
2006	Nagaraja S. Microstructural Stresses and Strains Associated With Trabecular Bone Microdamage [PhD thesis]. Atlanta, GA: Georgia Institute of Technology; December 2006.
2011	O'Neal JM. The Effects of Aging and Remodeling on Bone Quality and Microdamage [PhD thesis]. Atlanta, GA: Georgia Institute of Technology; August 2011.
1993	Guo X-DE. Fatigue of Trabecular Bone [PhD thesis]. Cambridge, MA: Harvard University; 1993.
1997	Bowman SM. Creep of Trabecular Bone [PhD thesis]. Cambridge, MA: Harvard University; May 1997.
1994	Yetkinler DN. Viscoelastic Behavior of Acrylic Bone Cements [PhD thesis]. The Ohio State University; 1994.
2011	Yao H. Microstructure-Based Characterization and Modeling of Trabecular Bone Deformation and Failure [PhD thesis]. Southern Methodist University; August 3, 2011.
2002	Morgan EF-i. The Dependence on Anatomic Site of Trabecular Bone Structure-Function Relationships [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2002.
2007	Anderson AE. Computational Modeling of Hip Joint Mechanics [PhD thesis]. University of Utah; April 2007.
2008	Burgers TA. Press-Fit Fixation and Viscoelastic Response of a Bone-Implant Interface in the Distal Femur [PhD thesis]. University of Wisconsin – Madison; 2008.
2009	García-Rodríguez S. Mechanical Behavior of Trabecular Bone [PhD thesis]. University of Wisconsin – Madison; 2009.