Finite element prediction of proximal femur fracture pattern based on orthotropic behaviour law coupled to quasi-brittle damage

wbldb

Hambli, Ridha¹; Bettamer, Awad¹; Allaoui, Samir¹

Finite element prediction of proximal femur fracture pattern based on orthotropic behaviour law coupled to quasi-brittle damage

Med Eng Phys. March 2012;34(2):202-210

©2011 IPEM. Published by Elsevier Ltd. All rights reserved.

Affiliations

¹Prisme Institute – MMH, 8, Rue Léonard de Vinci, 45072 Orléans cedex 2, France
Abstract and keywords

The purpose of this study was to develop a finite element model based on continuum damage mechanics in order to simulate the profile of the fractured area of proximal femur and the complete force–displacement curve from the beginning until complete fracture. The model was developed in term of anisotropic behaviour law coupled to quasi-brittle damage to describe the progressive crack initiation and propagation within proximal femoral. A damage law was developed and implemented into a finite element code (Abaqus) based on experimental observations. To illustrate the potential of the current approach, the right adult human femur previously investigated by Keyak and Falkinstein [1] (Model B: male, age 61) was simulated until complete fracture under one-legged stance load. The femur fracture profile was predicted and compared to clinical observed results. Good agreements were obtained suggesting that the proposed damage model could be used correctly to simulate the force–displacement curve, the fracture type and to simulate the progressive propagation of the crack paths. Present model can contribute towards the development of diagnostic tool that can detect osteoporotic fracture for aged patients in an early stage and predict bone strength accurately.

Keywords: Hip fracture; Finite element; Anisotropy; Crack propagation; Fracture pattern
Links

DOI: 10.1016/j.medengphy.2011.07.011

PubMed: 21824797

WoS: 000301473200009
History

Received: 2010-12-22

Revised: 2011-07-8

Accepted: 2011-07-13

Online: 2011-08-6

Cited Works (43)

Year	Entry
2007	Ural A, Vashishth D. Effects of intracortical porosity on fracture toughness in aging human bone: a μCT-based cohesive finite element study. J Biomech Eng. October 2007;129(5):625-631.
1997	Ray NF, Chan JK, Thamer M, Melton LJ III. Medical expenditures for the treatment of osteoporotic fractures in the United States in 1995: report from the National Osteoporosis Foundation. J Bone Miner Res. January 1997;12(1):24-35.
2002	Currey JD. Bones: Structure and Mechanics. Princeton, NJ: Princeton University Press; 2002.
2006	Taddei F, Cristofolini L, Martelli S, Gill HS, Viceconti M. Subject-specific finite element models of long bones: an in vitro evaluation of the overall accuracy. J Biomech. 2006;39(13):2457-2467.
2001	Keyak JH. Improved prediction of proximal femoral fracture load using nonlinear finite element models. Med Eng Phys. April 2001;23(3):165-173.
1999	Ota T, Yamamoto I, Morita R. Fracture simulation of the femoral bone using the finite-element method: how a fracture initiates and proceeds. J Bone Min Metab. May 1999;17(2):108-112.
2005	Nalla RK, Kruzic JJ, Kinney JH, Ritchie RO. Mechanistic aspects of fracture and R-curve behavior in human cortical bone. Biomaterials. January 2005;26(2):217-231.
1996	Yang KH, Shen K-L, Demetropoulos CK, King AI, Kolodziej P, Levine RS, Fitzgerald RH Jr. The relationship between loading conditions and fracture patterns of the proximal femur. J Biomech Eng. November 1996;118(4):575-578.
2009	de Bakker PM, Manske SL, Ebacher V, Oxland TR, Cripton PA, Guy P. During sideways falls proximal femur fractures initiate in the superolateral cortex: evidence from high-speed video of simulated fractures. J Biomech. August 25, 2009;42(12):1917-1925.
1999	Keaveny TM, Wachtel EF, Kopperdahl DL. Mechanical behavior of human trabecular bone after overloading. J Orthop Res. May 1999;17(3):346-353.
1998	Keyak JH, Rossi SA, Jones KA, Skinner HB. Prediction of femoral fracture load using automated finite element modeling. J Biomech. February 1998;31(2):125-133.
2003	Malik CL, Stover SM, Martin RB, Gibeling JC. Equine cortical bone exhibits rising R-curve fracture mechanics. J Biomech. February 2003;36(2):191-198.
2008	Schileo E, Taddei F, Cristofolini L, Viceconti M. Subject-specific finite element models implementing a maximum principal strain criterion are able to estimate failure risk and fracture location on human femurs tested in vitro. J Biomech. 2008;41(2):356-367.
2003	Keyak JH, Falkinstein Y. Comparison of in situ and in vitro CT scan-based finite element model predictions of proximal femoral fracture load. Med Eng Phys. November 2003;25(9):781-787.
2000	Keyak J, Rossi S. Prediction of femoral fracture load using finite element models: an examination of stress- and strain-based failure theories. J Biomech. 2000;33(2):209-214.
1999	Fenech CM, Keaveny TM. A cellular solid criterion for predicting the axial-shear failure properties of bovine trabecular bone. J Biomech Eng. August 1999;121(4):414-422.
2001	Yeh OC, Keaveny TM. Relative roles of microdamage and microfracture in the mechanical behavior of trabecular bone. J Orthop Res. October 2001;19(6):1001-1007.
2011	Dragomir-Daescu D, Op Den Buijs J, McEligot S, Dai Y, Entwistle RC, Salas C, Melton LJ III, Bennet KE, Khosla S, Amin S. Robust QCT/FEA models of proximal femur stiffness and fracture load during a sideways fall on the hip. Ann Biomed Eng. February 2011;39(2):742-755.
2001	Keaveny TM, Morgan EF, Niebur GL, Yeh OC. Biomechanics of trabecular bone. Annu Rev Biomed Eng. 2001;3:307-333.
2004	Bayraktar HH, Morgan EF, Niebur GL, Morris GE, Wong EK, Keaveny TM. Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue. J Biomech. January 2004;37(1):27-35.
1999	Oden ZM, Selvitelli DM, Bouxsein ML. Effect of local density changes on the failure load of the proximal femur. J Orthop Res. September 1999;17(5):661-667.
1996	Pattin CA, Caler WE, Carter DR. Cyclic mechanical property degradation during fatigue loading of cortical bone. J Biomech. January 1996;29(1):69-79.
2011	Hambli R. Multiscale prediction of crack density and crack length accumulation in trabecular bone based on neural networks and finite element simulation. Int J Num Meth Biomed Eng. April 2011;27(4):461-475.
2009	Garcia D, Zysset PK, Charlebois M, Curnier A. A three-dimensional elastic plastic damage constitutive law for bone tissue. Biomech Model Mechanobiol. April 2009;8(2):149-165.
1974	Reilly DT, Burstein AH, Frankel VH. The elastic modulus for bone. J Biomech. May 1974;7(3):271-275.
1975	Reilly DT, Burstein AH. The elastic and ultimate properties of compact bone tissue. J Biomech. 1975;8(6):393-405.
1991	Lotz JC, Cheal EJ, Hayes WC. Fracture prediction for the proximal femur using finite element models, I: linear analysis. J Biomech Eng. 1991;113(4):353-360.
1995	Lotz JC, Cheal EJ, Hayes WC. Stress distributions within the proximal femur during gait and falls: implications for osteoporotic fracture. Osteoporos Int. July 1995;5(3):252-261.
2002	Arthur Moore TL, Gibson LJ. Microdamage accumulation in bovine trabecular bone in uniaxial compression. J Biomech Eng. February 2002;124(1):63-71.
1998	Yang G, Kabel J, Van Rietbergen B, Odgaard A, Huiskes R, Cowin SC. The anisotropic Hooke’s law for cancellous bone and wood. J Elast. November 1998;53(2):125-146.
1996	van Rietbergen B, Odgaard A, Kabel J, Huiskes R. Direct mechanics assessment of elastic symmetries and properties of trabecular bone architecture. J Biomech. December 1996;29(12):1653-1657.
2003	Kotha SP, Guzelsu N. Tensile damage and its effects on cortical bone. J Biomech. November 2003;36(11):1683-1689.
1996	Ford CM, Keaveny TM, Hayes WC. The effect of impact direction on the structural capacity of the proximal femur during falls. J Bone Miner Res. March 1996;11(3):377-383.
2003	Kaneko TS, Pejcic MR, Tehranzadeh J, Keyak JH. Relationships between material properties and CT scan data of cortical bone with and without metastatic lesions. Med Eng Phys. July 2003;25(6):445-454.
2008	Verhulp E, van Rietbergen B, Huiskes R. Load distribution in the healthy and osteoporotic human proximal femur during a fall to the side. Bone. January 2008;42(1):30-35.
1999	Kabel J, van Rietbergen B, Dalstra M, Odgaard A, Huiskes R. The role of an effective isotropic tissue modulus in the elastic properties of cancellous bone. J Biomech. 1999;32(7):673-680.
1999	Cody DD, Gross GJ, Hou FJ, Spencer HJ, Goldstein SA, Fyhrie DP. Femoral strength is better predicted by finite element models than QCT and DXA. J Biomech. October 1999;32(10):1013-1020.
1991	Lotz JC, Cheal EJ, Hayes WC. Fracture prediction for the proximal femur using finite element models, II: nonlinear analysis. J Biomech Eng. 1991;113(4):361-364.
1985	Lemaitre J. A continuous damage mechanics model for ductile fracture. J Eng Mater Technol. January 1985;107(1):83-89.
2007	Bessho M, Ohnishi I, Matsuyama J, Matsumoto T, Imai K, Nakamura K. Prediction of strength and strain of the proximal femur by a CT-based finite element method. J Biomech. 2007;40(8):1745-1753.
2003	Vashishth D, Tanner KE, Bonfield W. Experimental validation of a microcracking-based toughening mechanism for cortical bone. J Biomech. January 2003;36(1):121-124.
2004	Vashishth D. Rising crack-growth-resistance behavior in cortical bone: implications for toughness measurements. J Biomech. June 2004;37(6):943-946.
1998	Burr DB, Turner CH, Naick P, Forwood MR, Ambrosius W, Hasan MS, Pidaparti R. Does microdamage accumulation affect the mechanical properties of bone? J Biomech. April 1998;31(4):337-345.

Cited By (19)

Year	Entry
2022	Dai X, Fan R, Wu H, Jia Z. Investigation on the differences in the failure processes of the cortical bone under different loading conditions. Appl Bionics Biomech. 2022;2022:3406984.
2021	Do XN, Hambli R, Ganghoffer J-F. Mesh-independent damage model for trabecular bone fracture simulation and experimental validation. Int J Num Meth Biomed Eng. June 2021;37(6):e3468.
2014	Ali AA, Cristofolini L, Schileo E, Hu H, Taddei F, Kim RH, Rullkoetter PJ, Laz PJ. Specimen-specific modeling of hip fracture pattern and repair. J Biomech. January 22, 2014;47(2):536-543.
2013	Ridha H, Thurner PJ. Finite element prediction with experimental validation of damage distribution in single trabeculae during three-point bending tests. J Mech Behav Biomed Mater. November 2013;27:94-106.
2021	Mohammadi H, Pietruszczak S, Quenneville CE. Numerical analysis of hip fracture due to a sideways fall. J Mech Behav Biomed Mater. March 2021;115:104283.
2020	Salem M, Westover L, Adeeb S, Duke K. Prediction of failure in cancellous bone using extended finite element method. Proc Inst Mech Eng Part H-J Eng Med. September 2020;243(9):988-999.
2021	Kolesnikov G. Damage function of a quasi-brittle material, damage rate, acceleration and jerk during uniaxial compression: model and application to analysis of trabecular bone tissue destruction. Symmetry. October 2021;13(10):1759.
2016	Haider IT. An Investigation on the Influence of Stumbling Loads on Femoral Fracture Risk, Using a Novel Gradient Enhanced Quasibrittle Finite Element Model [PhD thesis]. Carleton University; 2016.
2013	Ali A. Development of a Computational Approach to Assess Hip Fracture and Repair: Considerations of Intersubject and Surgical Alignment Variability [Master's thesis]. University of Denver; November 2013.
2020	Lewandowski K. Numerical Investigation of Bone Adaptation to Exercise and Fracture in Thoroughbred Racehorses [PhD thesis]. Glasgow, UK: University of Glasgow; February 2020.
2022	Rahovich P. Effects of Bone Structural Unit (BSU) Geometry and Material Properties on Crack Growth Through Idealized Trabecular Microstructures [Master's thesis]. Sudbury, ON: Laurentian University; 2022.
28	Wang M. Effect of Osteonal Microstructure on Crack Propagation: A Computational Study [PhD thesis]. Loughborough University; October 28.
2019	Gustafsson A. The Role of Microstructure for Crack Propagation in Cortical Bone [PhD thesis]. Lund, Sweden: Lund University; December 2019.
2014	Bradke BS. The Role of Cortical and Cancellous Bone Quality on Vertebral Fragility [PhD thesis]. Troy, NY: Rensselaer Polytechnic Institute; April 2014.
2012	Emerson NJ. Development of Patient-Specific CT-FE Modelling of Bone Through Validation Using Porcine Femora [PhD thesis]. University of Sheffield; September 2012.
2020	Salem M. Investigation of Pelvic Bone Fracture Mechanism and Simulated Treatment [PhD thesis]. Edmonton, AB: University of Alberta; 2020.
2012	Wilkerson LT. Finite Element Analysis of Cancellous Bone [Master's thesis]. University of Kentucky; 2012.
2016	Arango Villegas C. Study of the Mechanical Behavior of Cortical Bone Microstructure by the Finite Element Method [PhD thesis]. Universität Politècnica de València; May 2016.
2018	Khor F. Computational Modeling of Hard Tissue Response and Fracture in the Lower Cervical Spine Under Compression Including Age Effects [Master's thesis]. University of Waterloo; 2018.