Modeling the mechanical consequences of age-related trabecular bone loss by XFEM simulation

Fan, Ruoxun; Gong, He; Zhang, Xianbin; Liu, Jun; Jia, Zhengbin; Zhu, Dong

Affiliations

¹Department of Engineering Mechanics, Jilin University, Nanling Campus, Changchun 130025, China

²Department of Automobile and Construction Engineering, Beihua University, Jilin 132013, Chin

³Hand & Foot Surgery and Reparative & Reconstructive Surgery Center, No. 2 Hospital of Jilin University, Changchun 130025, China

⁴Department of Traumatic Orthopedics, The First Hospital of Jilin University, Changchun 130025, China

Abstract

The elderly are more likely to suffer from fracture because of age-related trabecular bone loss. Different bone loss locations and patterns have different effects on bone mechanical properties. Extended finite element method (XFEM) can simulate fracture process and was suited to investigate the effects of bone loss on trabecular bone. Age-related bone loss is indicated by trabecular thinning and loss and may occur at low-strain locations or other random sites. Accordingly, several ideal normal and aged trabecular bone models were created based on different bone loss locations and patterns; then, fracture processes from crack initiation to complete failure of these models were observed by XFEM; finally, the effects of different locations and patterns on trabecular bone were compared. Results indicated that bone loss occurring at low-strain locations was more detrimental to trabecular bone than that occurring at other random sites; meanwhile, the decrease in bone strength caused by trabecular loss was higher than that caused by trabecular thinning, and the effects of vertical trabecular loss on mechanical properties were more severe than horizontal trabecular loss. This study provided a numerical method to simulate trabecular bone fracture and distinguished different effects of the possible occurrence of bone loss locations and patterns on trabecular bone.

Links

DOI: 10.1155/2016/3495152

PubMed: 27403206

WoS: 000378754000001

History

Received: 2016-01-18

Accepted: 2016-05-23

Cited Works (42)

Year	Entry
2013	Ural A, Mischinski S. Multiscale modeling of bone fracture using cohesive finite elements. Eng Fract Mech. May 2013;103:141-152.
1985	Gibson LJ. The mechanical behaviour of cancellous bone. J Biomech. 1985;18(5):317-328.
1997	Silva MJ, Gibson LJ. Modeling the mechanical behavior of vertebral trabecular bone: effects of age-related changes in microstructure. Bone. 1997;21(2):191-199.
2001	van der Linden JC, Homminga J, Verhaar JAN, Weinans H. Mechanical consequences of bone loss in cancellous bone. J Bone Miner Res. March 2001;16(3):457-465.
2008	Cui W-Q, Won Y-Y, Baek M-H, Lee D-H, Chung Y-S, Hur J-H, Ma Y-Z. Age-and region-dependent changes in three-dimensional microstructural properties of proximal femoral trabeculae. Osteoporos Int. 2008;19(11):1579-1587.
2013	Feerick EM, Liu X, McGarry P. Anisotropic mode-dependent damage of cortical bone using the extended finite element method (XFEM). J Mech Behav Biomed Mater. April 2013;20:77-89.
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.
2013	Hambli R. Micro-CT finite element model and experimental validation of trabecular bone damage and fracture. Bone. October 2013;56(2):363-374.
2010	Shi X, Liu XS, Wang X, Guo XE, Niebur GL. Type and orientation of yielded trabeculae during overloading of trabecular bone along orthogonal directions. J Biomech. September 17, 2010;43(13):2460-2466.
2002	Ding M, Odgaard A, Linde F, Hvid I. Age-related variations in the microstructure of human tibial cancellous bone. J Orthop Res. May 2002;20(3):615-621.
2009	Mc Donnell P, Harrison N, Liebschner MAK, Mc Hugh PE. Simulation of vertebral trabecular bone loss using voxel finite element analysis. J Biomech. 2009;42(16):2789-2796.
2008	Chen H, Shoumura S, Emura S, Bunai Y. Regional variations of vertebral trabecular bone microstructure with age and gender. Osteoporos Int. October 2008;19(10):1473-1483.
1998	Kopperdahl DL, Keaveny TM. Yield strain behavior of trabecular bone. J Biomech. July 1998;31(7):601-608.
2000	Vajjhala S, Kraynik AM, Gibson LJ. A cellular solid model for modulus reduction due to resorption of trabeculae in bone. J Biomech Eng. October 2000;122(5):511-515.
2005	Nagaraja S, Couse TL, Guldberg RE. Trabecular bone microdamage and microstructural stresses under uniaxial compression. J Biomech. 2005;38(4):707-716.
2002	Guo XE, Kim CH. Mechanical consequence of trabecular bone loss and its treatment: a three-dimensional model simulation. Bone. February 2002;30(2):404-411.
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.
2011	Macdonald HM, Nishiyama KK, Kang J, Hanley DA, Boyd SK. Age‐related patterns of trabecular and cortical bone loss differ between sexes and skeletal sites: a population‐based HT‐pQCT study. J Bone Miner Res. January 2011;26(1):50-62.
2005	Gong H, Zhang M, Yeung HY, Qin L. Regional variations in microstructural properties of vertebral trabeculae with aging. J Bone Min Metab. March 2005;23(2):174-180.
2006	Stauber M, Müller R. Age-related changes in trabecular bone microstructures: global and local morphometry. Osteoporos Int. April 2006;17(4):616-626.
2000	Niebur GL, Feldstein MJ, Yuen JC, Chen TJ, Keaveny TM. High-resolution finite element models with tissue strength asymmetry accurately predict failure of trabecular bone. J Biomech. December 2000;33(12):1575-1583.
1991	Røhl L, Larsen E, Linde F, Odgaard A, Jørgensen J. Tensile and compressive properties of cancellous bone. J Biomech. 1991;24(12):1143-1149.
2005	Gibson LJ. Biomechanics of cellular solids. J Biomech. 2005;38(3):377-399.
2013	Thomsen JS, Niklassen AS, Ebbesen EN, Brüel A. Age-related changes of vertical and horizontal lumbar vertebral trabecular 3D bone microstructure is different in women and men. Bone. November 2013;57(1):47-55.
2010	Chen H, Zhou X, Shoumura S, Emura S, Bunai Y. Age- and gender-dependent changes in three-dimensional microstructure of cortical and trabecular bone at the human femoral neck. Osteoporos Int. April 2010;21(4):627-636.
1999	Yeh OC, Keaveny TM. Biomechanical effects of intraspecimen variations in trabecular architecture: a three-dimensional finite element study. Bone. August 1999;25(2):223-228.
2015	Wang J, Zhou B, Liu XS, Fields AJ, Sanyal A, Shi X, Adams M, Keaveny TM, Guo XE. Trabecular plates and rods determine elastic modulus and yield strength of human trabecular bone. Bone. March 2015;72:71-80.
2008	Verhulp E, Van Rietbergen B, Müller R, Huiskes R. Micro-finite element simulation of trabecular-bone post-yield behaviour: effects of material model, element size and type. Comput Methods Biomech Biomed Eng. August 2008;11(4):389-395.
1999	Hildebrand T, Laib A, Müller R, Dequeker J, Rüegsegger P. Direct three-dimensional morphometric analysis of human cancellous bone: microstructural data from spine, femur, iliac crest, and calcaneus. J Bone Miner Res. July 1999;14(7):1167-1174.
2011	Green JO, Nagaraja S, Diab T, Vidakovic B, Guldberg RE. Age-related changes in human trabecular bone: relationship between microstructural stress and strain and damage morphology. J Biomech. 2011;44(12):2279-2285.
1996	Norman TL, Nivargikar SV, Burr DB. Resistance to crack growth in human cortical bone is greater in shear than in tension. J Biomech. August 1996;29(8):1023-1031.
2011	Karim L, Vashishth D. Role of trabecular microarchitecture in the formation, accumulation, and morphology of microdamage in human cancellous bone. J Orthop Res. November 2011;29(11):1739-1744.
2004	Morgan E, Bayraktar H, Yeh O, Majumdar S, Burghardt A, Keaveny T. Contribution of inter-site variations in architecture to trabecular bone apparent yield strains. J Biomech. 2004;37(9):1413-1420.
2002	Thomsen JS, Ebbesen EN, Mosekilde L. Age-related differences between thinning of horizontal and vertical trabeculae in human lumbar bone as assessed by a new computerized method. Bone. July 2002;31(1):136-142.
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.
2001	Morgan EF, Keaveny TM. Dependence of yield strain of human trabecular bone on anatomic site. J Biomech. 2001;34(5):569-577.
2013	Dall'Ara E, Luisier B, Schmidt R, Kainberger F, Zysset P, Pahr D. A nonlinear QCT-based finite element model validation study for the human femur tested in two configurations in vitro. Bone. January 2013;52(1):27-38.
2013	Li S, Abdel-Wahab A, Demirci E, Silberschmidt VV. Fracture process in cortical bone: X-FEM analysis of microstructured models. Int J Fract. November 2013;184(1):43-55.
2014	Zhou B, Liu XS, Wang J, Lu XL, Fields AJ, Guo XE. Dependence of mechanical properties of trabecular bone on plate-rod microstructure determined by individual trabecula segmentation (ITS). J Biomech. February 7, 2014;47(3):702-708.
2011	Jungmann R, Szabo ME, Schitter G, Tang RY-S, Vashishth D, Hansma PK, Thurner PJ. Local strain and damage mapping in single trabeculae during three-point bending tests. J Mech Behav Biomed Mater. May 2011;4(4):523-534.
2009	Liu XS, Bevill G, Keaveny TM, Sajda P, Guo XE. Micromechanical analyses of vertebral trabecular bone based on individual trabeculae segmentation of plates and rods. J Biomech. February 9, 2009;42(3):249-256.
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.

Cited By (7)

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.
2020	Belda R, Palomar M, Peris-Serra JL, Vercher-Martínez A, Giner E. Compression failure characterization of cancellous bone combining experimental testing, digital image correlation and finite element modeling. Int J Mech Sci. January 2020;165:105213.
2017	Bini G, Bini F, Bedini R, Marinozzi A, Marinozzi F. A topological look at human trabecular bone tissue. Math Biosci. June 2017;288:159-165.
2024	Shalimov A, Tashkinov M, Silberschmidt VV. Failure of trabecular bone: XFEM modelling of multiple crack growth. Theor Appl Fract Mech. April 2024;130:104338.
2020	Lamarche BA. Morphometric Changes With Age in Human Trabecular Bone Structural Units (BSU) of the Lumbar Spine [Master's thesis]. Sudbury, ON: Laurentian University; 2020.
2020	Belda González R. Mechanical and Morphometric Characterization of Cancellous Bone [PhD thesis]. Universität Politècnica de València; March 2020.
2024	Benais R. Computational Modeling of Trabecular Bone Indentation and Development of a New Test Method to Perform Unconstrained Load-Induced Subsidence of an Intervertebral Body Fusion Device [Master's thesis]. University of Waterloo; 2024.