Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-13T01:57:00.515Z Has data issue: false hasContentIssue false

Microstructure-based modeling of the impact response of a biomedical niobium–zirconium alloy

Published online by Cambridge University Press:  30 May 2014

Orkun Onal
Affiliation:
Advanced Materials Group (AMG), Department of Mechanical Engineering, Koç University, Sar?yer, İstanbul 34450, Turkey
Burak Bal
Affiliation:
Advanced Materials Group (AMG), Department of Mechanical Engineering, Koç University, Sar?yer, İstanbul 34450, Turkey
S. Mine Toker
Affiliation:
Advanced Materials Group (AMG), Department of Mechanical Engineering, Koç University, Sar?yer, İstanbul 34450, Turkey
Morad Mirzajanzadeh
Affiliation:
Advanced Materials Group (AMG), Department of Mechanical Engineering, Koç University, Sar?yer, İstanbul 34450, Turkey
Demircan Canadinc*
Affiliation:
Advanced Materials Group (AMG), Department of Mechanical Engineering, Koç University, Sar?yer, İstanbul 34450, Turkey
Hans J. Maier
Affiliation:
Institut für Werkstoffkunde (Materials Science), Leibniz Universität Hannover, Garbsen 30823, Germany
*
a)Address all correspondence to this author. e-mail: dcanadinc@ku.edu.tr
Get access

Abstract

This article presents a new multiscale modeling approach proposed to predict the impact response of a biomedical niobium–zirconium alloy by incorporating both geometric and microstructural aspects. Specifically, the roles of both anisotropy and geometry-based distribution of stresses and strains upon loading were successfully taken into account by incorporating a proper multiaxial material flow rule obtained from crystal plasticity simulations into the finite element (FE) analysis. The simulation results demonstrate that the current approach, which defines a hardening rule based on the location-dependent equivalent stresses and strains, yields more reliable results as compared with the classical FE approach, where the hardening rule is based on the experimental uniaxial deformation response of the material. This emphasizes the need for proper coupling of crystal plasticity and FE analysis for the sake of reliable predictions, and the approach presented herein constitutes an efficient guideline for the design process of dental and orthopedic implants that are subject to impact loading in service.

Type
Articles
Copyright
Copyright © Materials Research Society 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Duerig, T., Pelton, A., and Stöckel, D.: An overview of nitinol medical applications. Mater. Sci. Eng., A 273275, 149 (1999).Google Scholar
Valiev, R.Z., Semenova, I.P., Jakushina, E., Latysh, V.V., Rack, H., Lowe, T.C., Petruzelka, J., Dluhos, L., Hrusak, D., and Sochova, J.: Nanostructured SPD processed titanium for medical implants. Mater. Sci. Forum 584586, 49 (2008).CrossRefGoogle Scholar
Toker, S.M., Canadinc, D., Maier, H.J., and Birer, O.: Evaluation of passive oxide layer formation – biocompatibility relationship in NiTi shape memory alloys. Mater. Sci. Eng., C 36, 118 (2014).Google Scholar
Imam, A.Y., Yilmaz, B., Özçelik, T.B., and McGlumphy, E.: Salvaging an angled implant abutment with damaged internal threads: A clinical report. J. Prosthet. Dent. 109, 287 (2013).Google Scholar
Zarrone, F., Sorrentino, R., Traini, T., Di lorio, D., and Caputi, S.: Fracture resistance of implant-supported screw- vs cement-retained porcelain fused to metal single crowns: SEM fractographic analysis. Dent. Mater. 23, 296 (2007).Google Scholar
Li, C.H. and Chou, C.T.: Bone sparing implant removal without terephine via internal separation of the titanium body with a carbide bur. Int. J. Oral Maxillofac. Surg. 43(2), 248250 (2014).Google Scholar
Hallab, N.J., Anderson, S., Caicedo, M., and Jacobs, J.J.: Zirconium and niobium affect human osteoblasts, fibroblasts, and lymphocytes in a similar manner to more traditional implant alloy metals. J. ASTM. Int. 3, 248259 (2006). JAI12817.CrossRefGoogle Scholar
Matsuno, H., Yokoyama, A., Watari, F., Uo, M., and Kawasaki, T.: Biocompatibility and osteogenesis of refractory metal implants, titanium, hafnium, niobium, tantalum and rhenium. Biomaterials 22, 1253 (2001).Google Scholar
Kim, H.G., Park, S.Y., Lee, M.H., Jeong, Y.H., and Kim, S.D.: Corrosion and microstructural characteristics of Zr–Nb alloys with different Nb contents. J. Nucl. Mater. 373, 429 (2008).Google Scholar
Rubitschek, F., Niendorf, T., Karaman, I., and Maier, H.J.: Corrosion fatigue behavior of a biocompatible ultrafine-grained niobium alloy in simulated body fluid. J. Mech. Behav. Biomed. Mater. 5, 181 (2012).Google Scholar
Niendorf, T., Canadinc, D., Maier, H.J., Karaman, I., and Yapici, G.G.: Microstructure – mechanical property relationships in ultrafine-grained NbZr. Acta Mater. 55, 6596 (2007).Google Scholar
Niendorf, T., Maier, H.J., Canadinc, D., Yapici, G.G., and Karaman, I.: Improvement of the fatigue performance of ultrafine-grained Nb-Zr alloy by nano-sized precipitates formed by internal oxidation. Scripta Mater. 58, 571 (2008).CrossRefGoogle Scholar
Toker, S.M., Rubitschek, F., Niendorf, T., Canadinc, D., and Maier, H.J.: Anisotropy of ultrafine-grained alloys under impact loading: The case of biomedical niobium–zirconium. Scripta Mater. 66, 435 (2012).CrossRefGoogle Scholar
Cehreli, M., Sahin, S., and Akca, K.: Role of mechanical environment and implant design on bone tissue differentiation: Current knowledge and future contexts. J. Dent. 32, 123 (2004).Google Scholar
Anunmanaa, C., Anusavicea, K.J. Jr., and Mecholsky, J.J.: Interfacial toughness of bilayer dental ceramics based on a short-bar, chevron-notch test. Dent. Mater. 26, 111 (2010).Google Scholar
Gupta, H.S. and Zioupos, P.: Fracture of bone tissue: The ‘hows’ and the ‘whys’. Med. Eng. Phys. 30, 1209 (2008).Google Scholar
Moazen, M., Jones, A.C., Jin, Z., Wilcox, R.K., and Tsiridis, E.: Periprosthetic fracture fixation of the femur following total hip arthroplasty: A review of biomechanical testing. Clin. Biomech. 26, 13 (2011).Google Scholar
Kannus, P., Parkkar, J., and Poutala, J.: Comparison of force attenuation properties of four different hip protectors under simulated falling conditions in the elderly: An in vitro biomechanical study. Bone 25, 229 (1999).Google Scholar
Fukuda, Y., Takai, S., Yoshino, N., Murase, K., Tsutsumi, S., Ikeuchi, K., and Hirasawa, Y.: Impact load transmission of the knee joint-influence of leg alignment and the role of meniscus and articular cartilage. Clin. Biomech. 15, 516 (2000).Google Scholar
Verteramo, A. and Seedhom, B.B.: Effect of a single impact loading on the structure and mechanical properties of articular cartilage. J. Biomec. 40, 3580 (2007).Google Scholar
Wakaoa, N., Harada, A., Matsui, Y., Takemura, M., Shimokata, H., Mizuno, M., Itod, M., Matsuyamaa, Y., and Ishiguro, N.: The effect of impact direction on the fracture load of osteoporotic proximal femurs. Med. Eng. Phys. 31, 1134 (2009).Google Scholar
Pinilla, T.P., Boardman, K.C., Bouxsein, M.L., Myers, E.R., and Hayes, W.C.: Impact direction from a fall influences the failure load of the proximal femur as much as age-related bone loss. Calcif. Tissue Int. 58, 231 (1996).Google Scholar
Morris, J.W. Jr.: Stronger, tougher steels. Science 320, 1022 (2008).Google Scholar
Song, R., Ponge, D., and Raabe, D.: Mechanical properties of an ultrafine grained C–Mn steel processed by warm deformation and annealing. Acta Mater. 53, 4881 (2005).Google Scholar
Kimura, Y., Inoue, T., Yin, F., and Tsuzaki, K.: Inverse temperature dependence of toughness in an ultrafine grain-structure steel. Science 320, 1057 (2008).CrossRefGoogle Scholar
Gabor, P., Canadinc, D., Maier, H.J., Hellmig, R.J., Zuberova, Z., and Estrin, J.: The influence of zirconium on the low-cycle fatigue response of ultrafine-grained copper. Metall. Mater. Trans. A 38, 1916 (2007).Google Scholar
Canadinc, D., Maier, H.J., Haouaoui, M., and Karaman, I.: On the cyclic stability of nanocrystalline copper obtained by powder consolidation at room temperature. Scripta Mater. 58, 307 (2008).Google Scholar
Niendorf, T., Canadinc, D., Maier, H.J., Karaman, I., and Sutter, S.G.: On the Fatigue Behavior of Ultrafine-Grained IF Steel. Int. J. Mater. Res. 97, 1328 (2006).Google Scholar
Viatkina, E.M., Brekelmans, W.A.M., and Geers, M.G.D.: The role of plastic slip anisotropy in the modelling of strain path change effects. J. Mat. Proc. Tech. 209, 186 (2009).Google Scholar
Beyerlein, I.J. and Tóth, L.S.: Texture evolution in equal-channel angular extrusion. Prog. Mater. Sci. 54, 427 (2009).CrossRefGoogle Scholar
Bache, M.R. and Evans, W.J.: Impact of texture on mechanical properties in an advanced titanium alloy. Mater. Sci. Eng., A 319321, 409 (2001).Google Scholar
Martin, B.B., Burr, D.B., and Sharkey, N.A.: Skeletal Tissue Mechanics (Springer-Verlag, New York, 1998).Google Scholar
Rho, J.Y., Kuhn-Spearing, L., and Zioupos, P.: Mechanical properties and the hierarchical structure of bone. Med. Eng. Phys. 20, 92 (1998).Google Scholar
Kormi, K., Webb, D.C., and Johnson, W.: The application of the FEM to determine the response of a pretorsioned pipe cluster to static or dynamic axial impact loading. Comput. Struct. 62, 353 (1997).Google Scholar
Raykhere, S.L., Kumar, P., Singh, R.K., and Parameswaran, V.: Dynamic shear strength of adhesive joints made of metallic and composite adherents. Mater. Des. 31, 2102 (2010).Google Scholar
Goldsmith, W.: Impact: The theory and physical behavior of colliding solids (Dover, Toronto, 2001).Google Scholar
Feng, Z.Q., Vallee, C., Fortune, D., and Peyraut, F.: The 3e hyperelastic model applied to the modeling of 3D impact problems. Finite Elem. Anal. Des. 43, 51 (2006).Google Scholar
Canadinc, D., Biyikli, E., Niendorf, T., and Maier, H.J.: Experimental and numerical investigation of the role of grain boundary misorientation angle on the dislocation–grain boundary interactions. Adv. Eng. Mater. 13, 281 (2011).CrossRefGoogle Scholar
Canadinc, D., Sehitoglu, H., Maier, H.J., and Kurath, P.: On the incorporation of length scales associated with pearlitic and bainitic microstructures into a viscoplastic self-consistent model. Mater. Sci. Eng., A 485, 258 (2008).CrossRefGoogle Scholar
Lebensohn, R.A., and Tomé, C.N.: A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: Application to zirconium alloys. Acta Metall. Mater. 41, 2611 (1993).Google Scholar
Kocks, U.F., Tomé, C.N., and Wenk, H.R.: Texture and Anisotropy (Cambridge University Press, New York, 1998).Google Scholar
Biyikli, E., Canadinc, D., Maier, H.J., Niendorf, T., and Top, S.: Three-dimensional modeling of the grain boundary misorientation angle distribution based on two-dimensional experimental texture measurements. Mater. Sci. Eng., A 527, 5604 (2010).Google Scholar