Materials Science

, Volume 54, Issue 2, pp 184–193 | Cite as

Assessment of Durability of Bone Cement Plates with Defects of Elliptic Shape: Effect of Configuration and Location of Defects

  • O. L. BilyyEmail author
  • G. M. Alonzo-Medina
  • J. González-Sánchez
  • A. Acuña Gonzalez

We determine the critical values of lengths of ellipse-like defects in plates made of bone cement produced with various additives. The analysis is performed by using previously studied samples subjected to different soaking periods (0; 3; 6 months) in simulated body fluid. This research is focused on the behavior of samples made of bone cement and containing different additives: diethylaminoethylacrylate, dimethylaminoethylmethacrylate, and diethylaminoethylmethacrylate. The models developed at present make it possible to determine the critical length of defects according to the values of the stress intensity factor. This, in turn, makes it possible to compute the critical number of loading cycles in specific mechanical elements containing elliptic defects. This class of calculations may serve as a basis for the engineering recommendations in the design and risk assessment of actual elements manufactured from this material.


bone cement crack defect different geometries stress intensity factor engineering monitoring 


  1. 1.
    B. Pascual, M. Gurruchaga, M. P. Ginebra, F. J. Goñi, J. A. Planell, B. Vázquez, J. San Román, and I. Goñi, “Modified acrylic bone cement with high amounts of ethoxytriethyleneglycol methacrylate,” Biomaterials, 20, 453–463 (1999).Google Scholar
  2. 2.
    A. May-Pata, W. Herrera-Kaoa, J. V. Cauich-Rodrígueza, J. M. Cervantes-Uca, and S. G. Flores-Gallardob, “Comparative study on the mechanical and fracture properties of acrylic bone cements prepared with monomers containing amine groups,” J. Mech. Behavior Biomed. Mater., 6, 95–105 (2012).Google Scholar
  3. 3.
    N. A. Acuña Gonzale, O. L. Bily, and J. A. González Sánchez, “Monitoring of the critical length of cracklike defects in the bonecement plate with regard for their different geometry,” Mater. Sci., 53, No. 1, 116–122 (2017).CrossRefGoogle Scholar
  4. 4.
    E. M. Sheafin and K. E. Tanner, “Effects of test sample shape and surface production method on the fatigue behavior of PMMA bone cement,” J. Mech. Behavior Biomed. Mater., 29, 91–102 (2014).Google Scholar
  5. 5.
    V. V. Panasyuk, I. I. Luchko, and I. N. Pan’ko, “Deformation Model of Fracture of Concrete,” Probl. Strength, No. 2, 18–28 (2003).Google Scholar
  6. 6.
    V. V. Panasyuk (Ed.), Fracture Mechanics and Strength of Materials. A Handbook, Vol. 13: I. M. Dmytrakh, L. Tóth, O. L. Bilyy, and A. M. Syrotyuk, Serviceability of Materials and Structural Elements with Sharp Stress Concentrators [in Ukrainian], Spolom, Lviv (2012).Google Scholar
  7. 7.
    J. C. Newman and I. S. Raju, “Stress intensity factor equations for cracks in three-dimensional finite bodies,” in: J. C. Lewis and G. Sines (editors), Fract. Mech.: Fourteenth Symp., Vol. 1: Theory and Analysis (STP-791), ASTM (1983), pp. 238–265.Google Scholar
  8. 8.
    V. V. Panasyuk (Ed.), Fracture Mechanics and Strength of Materials. A Handbook, Vol. 7: I. M. Dmytrakh, A. B. Vainman, M. H. Stashchuk, and L. Tóth, Reliability and Durability of Structural Elements for Hear-and-Power Engineering Equipment, Akademperiodyka, Kyiv (2012).Google Scholar
  9. 9.
    M. A. Sabino, D. Ajami, V. Salin, N. Nazhat, R. Vargas-Coronado, J. V. Cauich-Rodriguez, and M. P. Ginebra, “Physicochemical, mechanical, and biological properties of bone cements prepared with functionalized methacrylates,” J. Biomater. Applicat., 19, 147–161 (2004).Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • O. L. Bilyy
    • 1
    Email author
  • G. M. Alonzo-Medina
    • 2
  • J. González-Sánchez
    • 1
  • A. Acuña Gonzalez
    • 2
  1. 1.Centro de Investigación en Corrosión Universidad Autónoma de CampecheCampecheMexico
  2. 2.Universidad ANAHUAC MAYABMeridaMexico

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