The influence of anisotropy in numerical modeling of orthogonal cutting of cortical bone

Cutting operations in bone are involved in surgical treatments in orthopaedics and traumatology. The importance of guaranteeing the absence of damage in the living workpiece is equivalent in this case to ensuring surface quality. The knowledge in this field is really far from the expertise in industrial cutting of mechanical components. Modeling of bone cutting is a challenge strongly dependent on the accurate modeling of mechanical behaviour of the bone. This paper focuses on modeling of orthogonal cutting of cortical bone. The intrinsic anisotropic nature of the cortical bone that makes it comparable to a composite material is taken into account. The influence of anisotropy is analysed comparing this behaviour with an isotropic approach. It is shown that both chip morphology and temperature are affected by the anisotropy of the cortical bone that acts as a workpiece.

[1]  I. Iordanoff,et al.  A discrete element method for the simulation of CFRP cutting , 2010 .

[2]  Ian A. Ashcroft,et al.  Finite element modeling and experimentation of bone drilling forces , 2013 .

[3]  N Loveridge,et al.  Regional differences in cortical porosity in the fractured femoral neck. , 1999, Bone.

[4]  Khurshid Alam,et al.  Experimental and numerical analysis of conventional and ultrasonically-assisted cutting of bone , 2009 .

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

[6]  Seung-Hwan Chang,et al.  The finite element analysis of a fractured tibia applied by composite bone plates considering contact conditions and time-varying properties of curing tissues , 2010 .

[7]  Khurshid Alam,et al.  Analysis of anisotropic viscoelastoplastic properties of cortical bone tissues. , 2011, Journal of the mechanical behavior of biomedical materials.

[8]  V. Silberschmidt,et al.  Fracture process in cortical bone: X-FEM analysis of microstructured models , 2013, International Journal of Fracture.

[9]  M. Pope,et al.  On the fracture toughness of equine metacarpi. , 1979, Journal of biomechanics.

[10]  Stephen R Hallett,et al.  Prediction of impact damage in composite plates , 2000 .

[11]  Mamoru Mitsuishi,et al.  FORCE ANALYSIS OF ORTHOGONAL CUTTING OF BOVINE CORTICAL BONE , 2013 .

[12]  G. Augustin,et al.  Cortical bone drilling and thermal osteonecrosis. , 2012, Clinical biomechanics.

[13]  D. Arola,et al.  MACHINING OF CORTICAL BONE: SURFACE TEXTURE, SURFACE INTEGRITY AND CUTTING FORCES , 2008 .

[14]  Eugenio Giner,et al.  Numerical modelling of the mechanical behaviour of an osteon with microcracks. , 2014, Journal of the mechanical behavior of biomedical materials.

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

[16]  David Taylor,et al.  Wedge indentation fracture of cortical bone: experimental data and predictions. , 2010, Journal of biomechanical engineering.

[17]  H. Miguélez,et al.  Modelling thermal effects in machining of carbon fiber reinforced polymer composites , 2014 .

[18]  V. A. Gibson,et al.  Osteonal structure in the equine third metacarpus. , 1996, Bone.

[19]  D. Agard,et al.  Microtubule nucleation by γ-tubulin complexes , 2011, Nature Reviews Molecular Cell Biology.

[20]  Zbigniew Paszenda,et al.  Numerical and experimental analyses of drills used in osteosynthesis. , 2011, Acta of bioengineering and biomechanics.

[21]  P. Christel,et al.  The effects of remodeling on the elastic properties of bone , 2006, Calcified Tissue International.

[22]  Bunyamin Aksakal,et al.  Influence of drill parameters on bone temperature and necrosis: A FEM modelling and in vitro experiments , 2012 .

[23]  C. Santiuste,et al.  Out-of-plane failure mechanisms in LFRP composite cutting , 2011 .

[24]  Y. Tu,et al.  Thermal Contact Simulation of Drill Bit and Bone during Drilling , 2010, 2010 4th International Conference on Bioinformatics and Biomedical Engineering.

[25]  P. Thurner,et al.  Cement lines and interlamellar areas in compact bone as strain amplifiers - contributors to elasticity, fracture toughness and mechanotransduction. , 2014, Journal of the mechanical behavior of biomedical materials.

[26]  Rupesh Kumar Pandey,et al.  Drilling of bone: A comprehensive review. , 2013, Journal of clinical orthopaedics and trauma.

[27]  J. E. Tarancón,et al.  Homogenized stiffness matrices for mineralized collagen fibrils and lamellar bone using unit cell finite element models , 2014, Biomechanics and modeling in mechanobiology.

[28]  J. Katz,et al.  Ultrasonic wave propagation in human cortical bone--II. Measurements of elastic properties and microhardness. , 1976, Journal of biomechanics.

[29]  Simin Li,et al.  Penetration of cutting tool into cortical bone: experimental and numerical investigation of anisotropic mechanical behaviour. , 2014, Journal of biomechanics.

[30]  H. Ranu,et al.  Therapeutic Exercise: Foundations and Techniques. 2nd Edn , 1992 .

[31]  C. Santiuste,et al.  Machining FEM model of long fiber composites for aeronautical components , 2010 .

[32]  Thomas P. James,et al.  Effect of applied force and blade speed on histopathology of bone during resection by sagittal saw. , 2014, Medical engineering & physics.

[33]  S A Goldstein,et al.  Micromechanics of osteonal cortical bone fracture. , 1998, Journal of biomechanical engineering.

[34]  James Laney Williams,et al.  Anisotropic elasticity of cortical and cancellous bone in the posterior mandible increases peri-implant stress and strain under oblique loading. , 2001, Clinical oral implants research.

[35]  D Vashishth,et al.  Contribution, development and morphology of microcracking in cortical bone during crack propagation. , 2000, Journal of biomechanics.

[36]  J. López-Puente,et al.  Numerical prediction of delamination in CFRP drilling , 2014 .

[37]  Yan-San Huang,et al.  Analyses of Rotating Disc Cutting of Wood , 2003 .

[38]  D D Moyle,et al.  Work to fracture of canine femoral bone. , 1978, Journal of biomechanics.

[39]  Vadim V. Silberschmidt,et al.  Finite element analysis of forces of plane cutting of cortical bone , 2009 .

[40]  A. Molinari,et al.  This is a postprint version of the following published document: H. Miguélez, X. Soldani, A. Molinari(2013). Analysis of adiabatic shear , 2015 .

[42]  Paul N. Smith,et al.  Lateral drill holes decrease strength of the femur: an observational study using finite element and experimental analyses , 2013, Journal of Orthopaedic Surgery and Research.

[43]  S. Malkin,et al.  Orthogonal Machining of Bone , 1978 .

[44]  S. Cowin Bone mechanics handbook , 2001 .

[45]  Simin Li,et al.  Variability and anisotropy of mechanical behavior of cortical bone in tension and compression. , 2013, Journal of The Mechanical Behavior of Biomedical Materials.

[46]  A. Molinari,et al.  Adiabatic shear banding and scaling laws in chip formation with application to cutting of Ti–6Al–4V , 2013 .

[47]  D. F. James,et al.  Drilling in bone: modeling heat generation and temperature distribution. , 2003, Journal of biomechanical engineering.

[48]  M H Pope,et al.  A study of the bone machining process-orthogonal cutting. , 1974, Journal of biomechanics.

[49]  David Taylor,et al.  Living with cracks: damage and repair in human bone. , 2007, Nature materials.

[50]  Ozden Isbilir,et al.  Numerical investigation of the effects of drill geometry on drilling induced delamination of carbon fiber reinforced composites , 2013 .

[51]  A. Burstein Basic Biomechanics of the Musculoskeletal System. 3rd ed. , 2001 .

[52]  H. Birkedal‐Hansen,et al.  Evidence for an extracellular plasmin-dependent proteolytic system in mineralizing matrices , 2006, Calcified Tissue International.

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

[54]  Vadim V. Silberschmidt,et al.  Thermal analysis of orthogonal cutting of cortical bone using finite element simulations , 2010 .