A mathematical model of the pelvis for calculation of its stress-strain state


  • Olexiy Tyazhelov
  • Volodymyr Filipenko
  • Oleksandr Yaresko
  • Stanislav Bondarenko




pelvis, mathematical modeling, acetabulum, finite element analysis, stress-strain state


Recently for improving techniques of operations in orthopedics and traumatology they widely used mathematical modeling. Need of this presented work is due to the lack of studies of the stress-strain state (SSS) of pelvic bones in terms of modeling of the whole pelvic ring. Objective: using mathematical modeling to study the impact of SSS on separate parts of the pelvis. Methods: A geometric model of pelvis was developed at the biomechanical laboratory of the SI «Sytenko Institute of Spine and Joint Pathology National Academy of Medical Science of Ukraine», Kharkivbased on techniques for creating models by geometric sections obtained from tomographic images. There were taken into account some ties subjected tension while standing on one leg. The model was built in the program SolidWorks, and calculations were made using the program ANSYS. For evaluation of SSS Mises stresses were selected. For comparison of SSS there were studied three models of pelvic bones. Results: it was revealed that acetabulum and sacroiliac joint are the most strenuous parts for all models. When modeling the pubic symphysis it was found decreasing of the stress state in the front section of the acetabulum to 4.3 MPa (10.2 MPa for model A) and a slight increasing — 15.8 MPa (13.1 MPa for model A). For the model there was established rais­ing of SSS in front of the acetabulum (14.1 MPa) and decreasing (9.3 MPa) in the area of the sacroiliac joint in comparison with model A. Conclusion: The use of a comprehensive model of the pelvis with all its components makes it possible to accurately reflect SSS in comparison to previously used models and assess the impact of certain items of pelvic ring on SSS of its individual parts.


Strain-deformed state of the proximal femur in terms of modeling abdominal bone defects in differently loaded zones / V. A. Filipenko, Z. M. Miteleva, V. O. Mezentsev, O. V.Yaresko // Ukrainian Morphological Almanac. — 2006. — Т. 4, № 1. — pp. 104–107.

Finite element method in clinical biomechanics and forecasting results of bone cavity plasty with calcium-phosphate ceramics / V. A. Filipenko, Z. M. Miteleva, Z. Z. Zyman [et al.] // Orthopedics, Traumatology and Prosthetics. — 2006. — № 2. — pp. 34–41.

Preconditions of development of aseptic instability of screwed cement-free total hip arthroplasty (biomechanical and mathematical modeling) / H. V. Haiko, V. M. Pidhaietskyi, O. M. Sulyma, O. V. Chkalov // Orthopedics, Traumatology and Prosthetics. — 2009. — № 1. — pp. 10–16, doi: http://dx.doi.org/10.15674/0030-59872009110-16.

The role of biomechanical studies in optimizing hip replacement surgery / N. A. Korzh, V. A. Fylyppenko, V. A. Tankut [и др.] // Collected Works of SevRTU. — 2011. — № 120. — pp. 70–74.

Zenkevych O. K. A finite element method in the technolofy/ O. K. Zenkevych— М.: World, 1978. — 519 p.

Myteleva Z. M. Modern biomechanical approaches in hip arthroplasty / Z. M. Myteleva, Y. A. Subbota, M. Yu. Karpynskyi // Orthopedics, Traumatology and Prosthetics. — 2003. — № 1. — pp. 37–42.

. Fylypppenko V. A Biomechanical study of plastic acetabular defects in hip arthroplasty in patients with consequences of reactive arthritis V. A. Fylypppenko, A. Y. Zhyhun, S. E. Bondarenko, A. V. Yaresko // Orthopedics, Traumatology and Prosthetics. — 2008. — № 2. — pp. 19–22.

The importance of the stress distribution in bone tissue around the hip prosthesis components for stable fixation of the implant / N. A. Korzh, V. A. Fylyppenko, V. A. Tankut [et al.] // Collected Works of SevRTU. — 2013. — № 137. — pp. 110–118.

- The parameters of the strain-deformed state of the pelvis iliac lumbar ligament syndrome / D. A. Ystomyn, H. H. Holka, A. H. Ystomyn [и др.]: mat. of XIII sc.-pract. conf. with international participation [«Modern theoretical and practical aspects of osteosynthesis »] (24–25 May 2012). — Urzyf, 2012.

Korolkov A. Y.. Biomechanical aspects of hip dysplasia in children (finite element modeling)/ A. Y. Korolkov, Z. M. Myteleva, A. V. Yaresko // Traumatology and orthopedics Russia (supplement). — 2008. — № 4 (50). — p. 68.

The study of strain-deformed state of various friction pairs of hybrid hip arthroplasty / O. V. Tankut, S. Ye. Bondarenko, O. O. Pidhaiska, Sh. A. Maruf: мат. наук.-практ. конф. з міжнародною уча¬стю (для молодих вчених) [«Modern theoretical and practical aspects of orthopedics and traumatology»]. mat. of XIII sc.-pract. conf. with international participation — Chernihiv, 2013. — pp. 66–68.

Development of an advanced finite element model for a pedestrian pelvis [electronic resource] / M. Ikeda, S. Suzuki, Y. Gunji [et al.]: proceedings of the 22nd International Technical Conference on the Enhanced Safety of Vehicles (ESV) (June 13–16, 2011). — Washington, DC, 2011. — Access to materi¬als: http://www.ircobi.org/downloads/irc12/pdf_files/26.pdf.

Li Z. Finite element modeling of the human pelvis: applications to automotive side impacts and periacetabular lesions / Z. Li, A. W. Eberhardt. — VDM Verlag, 2008. — 84 p.

Biomechanical response of the pubic symphysis in lateral pel¬vic impacts: a finite element study / Z. Li, J. E. Kim, J. S. Da¬vidson [et al.] // J. Biomech. — 2007. — Vol. 40 (12). — P. 2758–2766.

Ystomyn A. H. Adapted mathematical model of the pelvis / A. H. Ystomyn // Problems of Medicine. — 1999. — № 9. — pp. 16–19.

Staude V. A. Numerical simulation and analysis of the strain-deformed state of the kinematic chain "lumbar spine - secrum - pelvis" in unilaterally blocking the sacroiliac joints / V. A. Staude, A. V. Kondratev, M. Yu. Karpynskyi // Orthopedics, Traumatology and Prosthetics. — 2012. — № 4. — pp. 13–19, doi: http://dx.doi.org/10.15674/0030-59872012413-19.

Khmyzov S. A. Analysis of the stress-strain state of the kinematic chain "pelvis-femur" in the application of the rod external fixation devices / S. A. Khmyzov, V. V. Skrebtsov, A. V. Yaresko // Orthopedics, Traumatology and Prosthetics. — 2006. — № 4. — pp. 51–56.

Dalstra M. Load transfer across the pelvic bone / M. Dalstra. R. Huiskes // J. Biomech. — 1995. — № 28. — P. 715–724.

Hip contact forces and gait patterns from routine activities / G. Bergmann, G. Deuretzbacher, M. Heller [et al.] // J. Bio¬mech. — 2001. — Vol. 34 (7). — P. 859–871.

Finite element modelling of the pelvis: inclusion of muscular and ligamentous boundary conditions / A. T. Phillips, P. Pan¬kaj, C. R. Howie [et al.] // Medical Engineering Physics. — 2007. — № 29 (7). — P. 739–748.

Filardi V. FE analysis of stress and displacements occurring in the bony chain of leg [electronic resource] / V. Filardi // J. of Orthopaedics. — 2014. — Access to materials: http://www.jorthoonline.com/article/S0972-978X(14)00079-8/pdf.

The effect of boundary condition on the biomechanics of a human pelvic joint under an axial compressive load: a three-dimensional finite element model / Zhixiu Hao, Chao Wan, Xiangfei Gao, Tao Ji // J. Biomech. Eng. — 2011. — Vol. 133 (10). — P. 101006–101009, doi: 10.1115/1.4005223.

Contact pressures in the human hip joint measured in vivo / W. A. Hodge, R. S. Fijan, K. L. Carlson [et al.] // Proceed¬ings of the National Academy of Sciences USA. — 1986. — Vol. 83. — P. 2879–2883.

Dempster W. T. Compact bone as a non-isotropic material / W. T. Dempster, R. T. Liddicoat // The American Journal Anatomy. — 1952. — Vol. 91, № 3. — P. 331–362.

McElhaney J. Dynamic response of biological materials / J. McElhaney, E. F. Byars. — American Society of Mechanical Engineers, New York, N.Y., 1965. — 8 p.

Knets Y. V. Deformation and fracture of hard biological tissues / Y. V. Knets, H. O. Pfafrod, Yu. Zh. Saulhozys. — Ryha: Zynatne, 1980. — 320 p.

Endurance problems in biomechanics: Stud. Manual for tech. and boil. / Edited by E. F. Obraztsova. — М.: High Sch., 1988. — 311 p.

Yanson Kh. A. Biomechanics of the lower limb / Kh. A. Yanson. Ryha: Zynatne, 1975. — 324 с.

Crowninshield R. D. A physiologically based criterion of muscle force prediction in locomotion / R. D. Crowninshield, R. A. Brand // J. Biomech. — 1981. — Vol. 14. — Р. 793–801.33 ISSN 0030-5987. // Orthopedics, Traumatology and Prosthetics. 2015. № 1

Goel V. K. Stresses in the pelvis / V. K. Goel, S. Valliappan, N. L. Svensson// J. Comput. Biol. Med. — 1978. — Vol. 8. — P. 91–104.

Subject-specific finite element model of the pelvis: develop¬ment, validation and sensitivity studies / A. E. Anderson, C. L. Peters, B. D. Tuttle, J. A. Weiss // J. Biomech. Eng. — 2005. — № 127 (3). — P. 364–373.

Finite element analysis of the four-hole dynamic compression plate during gait / J. Hashemi, R. Naik, N. Chandrashekar [et al.]: 52nd Annual Meeting of the Orthopaedic Research Society (Chicago, Illinois, March 19–22, 2006). — Chicago, Illinois, 2006. — P. 1508.

How to Cite

Tyazhelov, O., Filipenko, V., Yaresko, O., & Bondarenko, S. (2015). A mathematical model of the pelvis for calculation of its stress-strain state. ORTHOPAEDICS, TRAUMATOLOGY and PROSTHETICS, (1), 25–33. https://doi.org/10.15674/0030-59872015125-33




Most read articles by the same author(s)

1 2 3 4 5 6 7 8 9 10 > >>