Multiscale modeling of bone fracture using cohesive finite elements

Abstract Bone is a hierarchical material that exhibit fracture mechanisms at multiple scales and will benefit from a multiscale evaluation approach for better fracture risk assessment. This study developed a cohesive finite element modeling approach that simulated bone fracture at micro- and macroscale. Simulation results showed that the microscale fracture toughening was most effective when the cement line had lower strength than the surrounding bone reducing the propensity to fracture at the macroscale. These results demonstrate the importance of cement line strength in controlling the fracture toughening mechanisms and the effect of microscale properties in the whole bone fracture risk assessment.

[1]  D. Vashishth Hierarchy of Bone Microdamage at Multiple Length Scales. , 2007, International journal of fatigue.

[2]  A G Patwardhan,et al.  Cross-sectional geometrical properties and bone mineral contents of the human radius and ulna. , 1993, Journal of biomechanics.

[3]  J. Davies,et al.  Bone bonding at natural and biomaterial surfaces. , 2007, Biomaterials.

[4]  Ralph Müller,et al.  Contribution of In Vivo Structural Measurements and Load/Strength Ratios to the Determination of Forearm Fracture Risk in Postmenopausal Women , 2007, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[5]  K. Volokh Comparison between cohesive zone models , 2004 .

[6]  E. Diao,et al.  Distal radius fractures: Mechanisms of injury and strength prediction by bone mineral assessment , 1998, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[7]  A. Ural Prediction of Colles' fracture load in human radius using cohesive finite element modeling. , 2009, Journal of biomechanics.

[8]  P J Prendergast,et al.  Microdamage and osteocyte-lacuna strain in bone: a microstructural finite element analysis. , 1996, Journal of biomechanical engineering.

[9]  F. G. Evans,et al.  Differences and relationships between the physical properties and the microscopic structure of human femoral, tibial and fibular cortical bone , 1967 .

[10]  D. Vashishth,et al.  Effects of intracortical porosity on fracture toughness in aging human bone: a microCT-based cohesive finite element study. , 2007, Journal of biomechanical engineering.

[11]  M. Swain,et al.  Fracture toughness of bovine bone: influence of orientation and storage media. , 2001, Biomaterials.

[12]  Steven K Boyd,et al.  Bone strength at the distal radius can be estimated from high-resolution peripheral quantitative computed tomography and the finite element method. , 2008, Bone.

[13]  H A Hogan,et al.  Micromechanics modeling of Haversian cortical bone properties. , 1992, Journal of biomechanics.

[14]  Daniel P Nicolella,et al.  Relating crack-tip deformation to mineralization and fracture resistance in human femur cortical bone. , 2009, Bone.

[15]  Bert Van Rietbergen,et al.  Finite Element Analysis Based on In Vivo HR‐pQCT Images of the Distal Radius Is Associated With Wrist Fracture in Postmenopausal Women , 2007, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[16]  Glaucio H. Paulino,et al.  Mode I fracture of adhesive joints using tailored cohesive zone models , 2008 .

[17]  P Zioupos,et al.  Changes in the stiffness, strength, and toughness of human cortical bone with age. , 1998, Bone.

[18]  D Vashishth,et al.  Crack growth resistance in cortical bone: concept of microcrack toughening. , 1997, Journal of biomechanics.

[19]  Drew Buchanan,et al.  Finite element modeling of the influence of hand position and bone properties on the Colles' fracture load during a fall. , 2010, Journal of biomechanical engineering.

[20]  Y. Yeni,et al.  Fracture toughness is dependent on bone location--a study of the femoral neck, femoral shaft, and the tibial shaft. , 2000, Journal of biomedical materials research.

[21]  R. Bergström,et al.  Fracture of the distal forearm as a forecaster of subsequent hip fracture: A population-based cohort study with 24 years of follow-up , 1993, Calcified Tissue International.

[22]  Young June Yoon,et al.  An estimate of anisotropic poroelastic constants of an osteon , 2008, Biomechanics and modeling in mechanobiology.

[23]  X. Guo,et al.  Interfacial strength of cement lines in human cortical bone. , 2005, Mechanics & chemistry of biosystems : MCB.

[24]  R O Ritchie,et al.  Effect of aging on the transverse toughness of human cortical bone: evaluation by R-curves. , 2011, Journal of the mechanical behavior of biomedical materials.

[25]  Thomas A. Corcoran,et al.  Correlations between photon absorption properties and failure load of the distal radiusin vitro , 1991, Calcified Tissue International.

[26]  R O Ritchie,et al.  Fracture length scales in human cortical bone: the necessity of nonlinear fracture models. , 2006, Biomaterials.

[27]  J. Hutchinson,et al.  The relation between crack growth resistance and fracture process parameters in elastic-plastic solids , 1992 .

[28]  S. Stover,et al.  Osteon pullout in the equine third metacarpal bone: Effects of ex vivo fatigue , 2003, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[29]  F. Eckstein,et al.  Estimation of distal radius failure load with micro-finite element analysis models based on three-dimensional peripheral quantitative computed tomography images. , 2002, Bone.

[30]  D B Burr,et al.  Composition of the cement line and its possible mechanical role as a local interface in human compact bone. , 1988, Journal of biomechanics.

[31]  R Vincentelli,et al.  The effect of Haversian remodeling on the tensile properties of human cortical bone. , 1985, Journal of biomechanics.

[32]  J A McGeough,et al.  Age-related changes in the tensile properties of cortical bone. The relative importance of changes in porosity, mineralization, and microstructure. , 1993, The Journal of bone and joint surgery. American volume.

[33]  David B. Burr,et al.  Skeletal Tissue Mechanics , 1998, Springer New York.

[34]  W. Bonfield,et al.  Orientation dependence of the fracture mechanics of cortical bone. , 1989, Journal of biomechanics.

[35]  P Zioupos,et al.  Mechanical properties and the hierarchical structure of bone. , 1998, Medical engineering & physics.

[36]  A. Burstein,et al.  The elastic and ultimate properties of compact bone tissue. , 1975, Journal of biomechanics.

[37]  J. Rho,et al.  Orientation and loading condition dependence of fracture toughness in cortical bone , 2000 .

[38]  W C Hayes,et al.  Compact bone fatigue damage: a microscopic examination. , 1977, Clinical orthopaedics and related research.

[39]  David Taylor,et al.  The effect of bone microstructure on the initiation and growth of microcracks , 2005, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[40]  J Y Rho,et al.  Anisotropic properties of human tibial cortical bone as measured by nanoindentation , 2002, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[41]  Glaucio H. Paulino,et al.  Influence of the Cohesive Zone Model Shape Parameter on Asphalt Concrete Fracture Behavior , 2008 .

[42]  P. Camanho,et al.  Numerical Simulation of Mixed-Mode Progressive Delamination in Composite Materials , 2003 .

[43]  F. G. Evans,et al.  Relations of the compressive properties of human cortical bone to histological structure and calcification. , 1974, Journal of biomechanics.

[44]  F. O'Brien,et al.  The effects of increased intracortical remodeling on microcrack behaviour in compact bone. , 2008, Bone.

[45]  D. Vashishth,et al.  Anisotropy of age-related toughness loss in human cortical bone: a finite element study. , 2007, Journal of biomechanics.

[46]  D P Fyhrie,et al.  Damage type and strain mode associations in human compact bone bending fatigue , 1998, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[47]  Y. Yeni,et al.  The influence of bone morphology on fracture toughness of the human femur and tibia. , 1997, Bone.

[48]  L. Griffin,et al.  Osteon interfacial strength and histomorphometry of equine cortical bone. , 2006, Journal of biomechanics.

[49]  R. Ritchie,et al.  Mechanistic fracture criteria for the failure of human cortical bone , 2003, Nature materials.

[50]  D. Vashishth,et al.  Cohesive finite element modeling of age-related toughness loss in human cortical bone. , 2006, Journal of biomechanics.

[51]  R O Ritchie,et al.  Effect of aging on the toughness of human cortical bone: evaluation by R-curves. , 2004, Bone.

[52]  R O Ritchie,et al.  The true toughness of human cortical bone measured with realistically short cracks. , 2008, Nature materials.

[53]  P. Frasca Scanning-electron microscopy studies of 'ground substance' in the cement lines, resting lines, hypercalcified rings and reversal lines of human cortical bone. , 1981, Acta anatomica.

[54]  S. Gabriel,et al.  Forearm Fractures as Predictors of Subsequent Osteoporotic Fractures , 1999, Osteoporosis International.

[55]  P. McHugh,et al.  Micromechanical modelling of cortical bone , 2007, Computer methods in biomechanics and biomedical engineering.