MATHEMATICAL SIMULATION OF THE STRESS AND STRAIN FIELD OF HIP JOINT ELEMENTS UNDER STATIC LOADS AT DIFFERENT STAGES AFTER A TOTAL HIP ARTHROPLASTY
An important problem in applied biomechanics involving total hip arthroplasty is to ensure the stable endoprosthesis operation using the results of mathematical simulation of acetabular component – acetabulum interaction. Th goal of this study is to develop finite-element models based on computer to...
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| Date: | 2026 |
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2026
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| Journal Title: | Technical Mechanics |
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Technical Mechanics| _version_ | 1869653450154835968 |
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| author | HOROBETS, D. V. SOBOLEVSKA, M. B. LOSKUTOV, O. Ye. |
| author_facet | HOROBETS, D. V. SOBOLEVSKA, M. B. LOSKUTOV, O. Ye. |
| author_institution_txt_mv | [
{
"author": "D. V. HOROBETS",
"institution": "https:\/\/orcid.org\/0000-0003-0472-7752 Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine, 15 Leshko-Popel St., Dnipro 49005, Ukraine"
},
{
"author": "M. B. SOBOLEVSKA",
"institution": "https:\/\/orcid.org\/0000-0002-3379-7111Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine, 15 Leshko-Popel St., Dnipro 49005, Ukraine; e-mail: sobolevskaya1609@gmail.com"
},
{
"author": "O. Ye. LOSKUTOV",
"institution": "https:\/\/orcid.org\/0000-0003-0579-5642 Dnipro State Medical University, 9 Volodymyra Vernadskoho St., Dnipro 49044, Ukraine "
}
] |
| author_sort | HOROBETS, D. V. |
| baseUrl_str | https://journal-itm.dp.ua/ojs/index.php/ITM_j1/oai |
| collection | OJS |
| datestamp_date | 2026-07-02T22:15:19Z |
| description | An important problem in applied biomechanics involving total hip arthroplasty is to ensure the stable endoprosthesis operation using the results of mathematical simulation of acetabular component – acetabulum interaction. Th goal of this study is to develop finite-element models based on computer tomography data to assess the stress and strain field (SSF) of hip joint elements under service loads after a total arthroplasty. Based on computer tomography data, finite-element models are developed to assess the stress and strain field of hip joint elements at different stages after a total press-fit arthroplasty with the use of a cementless acetabular component pressed into an intact acetabulum. Two stages are considered; an initial stage immediately after the arthroplasty and a stage of full healing. For the initial stage, different variants of endoprosthesis mounting with account for the presence or absence of subchondral tissue fragments on the acetabulum bottom are considered. For the full healing stage, account is made for adhesion, i.e., the subchondral tissue of the acetabulum growing into the acetabular component surface. The finite-element models developed account for a surface-surface frictionless contact between the hip joint endoprosthesis head and the acetabular component liner, a friction contact between the metal body and the liner, and a contact with the joint motion of the bone tissue contact surfaces in their interaction. Contact interaction between the metal body and the bone tissues of the acetabulum bottom is accounted for as a friction contact at the initial stage and as a contact with the joint motion of the contact surfaces at the full healing stage. The paper presents the results on the SSF of intact-acetabulum hip joint elements after a total arthroplasty for the case of two-leg standing. The proposed models may be used as a basis for further studies of the in-service SSF of hip joint elements after a total arthroplasty with account for acetabulum defects.
REFERENCES
1. Netter F. Anthropotomy Atlas. Lviv: Nautilus, 2004. 592 pp. (In Ukrainian).
2. Hip Arthroplasty. A. E. Loskutov (Ed.). Dnipro: Lira, 2010. 344 pp. (In Ukrainian).
3. Total hip arthroplasty methods. URL: https://www.statpearls.com/articlelibrary/viewarticle/22894/ (Last accessed on June 17, 2026). (In Ukrainian).
4. Total hip replacement surgery (hip prosthesis). URL: https://www.joint-surgeon.com/orthopedic-services/osteoarthritis-of-the-hip/total-hip-replacement/ (Last accessed on June 17, 2026).
5. Current views on arthroplasty. URL: https://www.vz.kiev.ua/suchasni-poglyadi-na-endoprotezuvannya/ (Last accessed on June 17, 2026). (In Ukrainian).
6. Hip arthroplasty (hip joint replacement). URL: https://medicalplaza.ua/uk/content/endoprotezirovanie-tazobedrennogo-sustava (Last accessed on June 17, 2026). (In Ukrainian).
7. Hip joint endoprosthesis: an individual model and material selection for a patient. URL: https://ortoped-klinik.com/orthopedic-services/osteoarthritis-of-the-hip/modeli-endoprotezov-tazobedrennogo-sustava.html (Last accessed on June 17, 2026). (In Russian).
8. Imbuldeniya A. M., Walter W. L., Zicat B. A., Walter W. K. Cementless total hip replacement without femoral osteotomy in patients with severe developmental dysplasia of the hip. Minimum 15-year clinical and radiological results. Bone Joint J. 2014. V. 96-B. No. 11. Pp. 1449-1454.https://doi.org/10.1302/0301-620X.96B6.33381
9. Scuderi R. Techniques in Revision Hip and Knee Arthroplasty. Philadelphia: Elsevier, 2014. 608 pp.
10. Horst P., Sproul R. C., Bozic K. J. The economics of total hip and knee arthroplasty. In: Scuderi R. Techniques in Revision Hip and Knee Arthroplasty. Philadelphia: Elsevier, 2015. Pp. 2-5.
11. Wong K. C., Kumta S. M., Geel N. V., Demol J. One-step reconstruction with a 3D-printed, biomechanically evaluated custom implant after complex pelvic tumor resection. Computer Aided Surgery. 2015. V. 20. No. 1. Pp. 14-23.https://doi.org/10.3109/10929088.2015.1076039
12. Loskutov A. E. Development of modular hip arthroplasty by ORTEN home systems. Modern Medical Technology. 2011. No. 3-4. Pp. 207-210. (In Russian).
13. Loskutovv O. Ye., Oliinyk O. Ye., Loskutov O. O., Syniehubov D. A. Development of the national arthroplasty (the results of thirty-year studies). Transplantation and Artificial Organs. 2021. No. 2(03). Pp. 28 - 36. (In Ukrainian).
14. Ukrstat. Databank. URL: https://stat.gov.ua/uk/explorer?urn=SSSU%3ADF_SURVEY_LIVING_CONDITIONS_HOUSEHOLDS_A%28~%29&filter=IDX_BODY_MASS (Last accessed on June 17, 2026).
15. Horobets D. V., Sobolevska M. B., Loskutov O. Ye. Finite-element simulation of the in-service stress and strain field of hip joint elements based on computer tomography data. Teh. Meh. 2026. No. 1. Pp. 73-85. (In Ukrainian). https://doi.org/10.15407/itm2026.01.073
16. Zienkiewicz O. The Finite Element Method in Engineering Science. Moscow: Mir, 1975. 541 pp. (In Russian).
17. Aleksandrov A. V., Potapov V. D. Fundamentals of the Elasticity and Plasticity Theory. Moscow: Vysshaya Shkola, 1990. 400 pp. (In Russian).
18. Kaplun A. B. Ansys in the Engineer's Hands: Manual. Moscow: Editorial URSS, 2003. 272 pp. (In Russian). |
| first_indexed | 2026-07-03T01:01:15Z |
| format | Article |
| fulltext | |
| id | oai:ojs2.journal-itm.dp.ua:article-195 |
| institution | Technical Mechanics |
| keywords_txt_mv | keywords |
| last_indexed | 2026-07-03T01:01:15Z |
| publishDate | 2026 |
| publisher | текст 3 |
| record_format | ojs |
| resource_txt_mv | |
| spelling | oai:ojs2.journal-itm.dp.ua:article-1952026-07-02T22:15:19Z MATHEMATICAL SIMULATION OF THE STRESS AND STRAIN FIELD OF HIP JOINT ELEMENTS UNDER STATIC LOADS AT DIFFERENT STAGES AFTER A TOTAL HIP ARTHROPLASTY HOROBETS, D. V. SOBOLEVSKA, M. B. LOSKUTOV, O. Ye. human hip joint, computer tomography, finite-element simulation, stress and strain field, endoprosthetics. An important problem in applied biomechanics involving total hip arthroplasty is to ensure the stable endoprosthesis operation using the results of mathematical simulation of acetabular component – acetabulum interaction. Th goal of this study is to develop finite-element models based on computer tomography data to assess the stress and strain field (SSF) of hip joint elements under service loads after a total arthroplasty. Based on computer tomography data, finite-element models are developed to assess the stress and strain field of hip joint elements at different stages after a total press-fit arthroplasty with the use of a cementless acetabular component pressed into an intact acetabulum. Two stages are considered; an initial stage immediately after the arthroplasty and a stage of full healing. For the initial stage, different variants of endoprosthesis mounting with account for the presence or absence of subchondral tissue fragments on the acetabulum bottom are considered. For the full healing stage, account is made for adhesion, i.e., the subchondral tissue of the acetabulum growing into the acetabular component surface. The finite-element models developed account for a surface-surface frictionless contact between the hip joint endoprosthesis head and the acetabular component liner, a friction contact between the metal body and the liner, and a contact with the joint motion of the bone tissue contact surfaces in their interaction. Contact interaction between the metal body and the bone tissues of the acetabulum bottom is accounted for as a friction contact at the initial stage and as a contact with the joint motion of the contact surfaces at the full healing stage. The paper presents the results on the SSF of intact-acetabulum hip joint elements after a total arthroplasty for the case of two-leg standing. The proposed models may be used as a basis for further studies of the in-service SSF of hip joint elements after a total arthroplasty with account for acetabulum defects. REFERENCES 1. Netter F. Anthropotomy Atlas. Lviv: Nautilus, 2004. 592 pp. (In Ukrainian). 2. Hip Arthroplasty. A. E. Loskutov (Ed.). Dnipro: Lira, 2010. 344 pp. (In Ukrainian). 3. Total hip arthroplasty methods. URL: https://www.statpearls.com/articlelibrary/viewarticle/22894/ (Last accessed on June 17, 2026). (In Ukrainian). 4. Total hip replacement surgery (hip prosthesis). URL: https://www.joint-surgeon.com/orthopedic-services/osteoarthritis-of-the-hip/total-hip-replacement/ (Last accessed on June 17, 2026). 5. Current views on arthroplasty. URL: https://www.vz.kiev.ua/suchasni-poglyadi-na-endoprotezuvannya/ (Last accessed on June 17, 2026). (In Ukrainian). 6. Hip arthroplasty (hip joint replacement). URL: https://medicalplaza.ua/uk/content/endoprotezirovanie-tazobedrennogo-sustava (Last accessed on June 17, 2026). (In Ukrainian). 7. Hip joint endoprosthesis: an individual model and material selection for a patient. URL: https://ortoped-klinik.com/orthopedic-services/osteoarthritis-of-the-hip/modeli-endoprotezov-tazobedrennogo-sustava.html (Last accessed on June 17, 2026). (In Russian). 8. Imbuldeniya A. M., Walter W. L., Zicat B. A., Walter W. K. Cementless total hip replacement without femoral osteotomy in patients with severe developmental dysplasia of the hip. Minimum 15-year clinical and radiological results. Bone Joint J. 2014. V. 96-B. No. 11. Pp. 1449-1454.https://doi.org/10.1302/0301-620X.96B6.33381 9. Scuderi R. Techniques in Revision Hip and Knee Arthroplasty. Philadelphia: Elsevier, 2014. 608 pp. 10. Horst P., Sproul R. C., Bozic K. J. The economics of total hip and knee arthroplasty. In: Scuderi R. Techniques in Revision Hip and Knee Arthroplasty. Philadelphia: Elsevier, 2015. Pp. 2-5. 11. Wong K. C., Kumta S. M., Geel N. V., Demol J. One-step reconstruction with a 3D-printed, biomechanically evaluated custom implant after complex pelvic tumor resection. Computer Aided Surgery. 2015. V. 20. No. 1. Pp. 14-23.https://doi.org/10.3109/10929088.2015.1076039 12. Loskutov A. E. Development of modular hip arthroplasty by ORTEN home systems. Modern Medical Technology. 2011. No. 3-4. Pp. 207-210. (In Russian). 13. Loskutovv O. Ye., Oliinyk O. Ye., Loskutov O. O., Syniehubov D. A. Development of the national arthroplasty (the results of thirty-year studies). Transplantation and Artificial Organs. 2021. No. 2(03). Pp. 28 - 36. (In Ukrainian). 14. Ukrstat. Databank. URL: https://stat.gov.ua/uk/explorer?urn=SSSU%3ADF_SURVEY_LIVING_CONDITIONS_HOUSEHOLDS_A%28~%29&filter=IDX_BODY_MASS (Last accessed on June 17, 2026). 15. Horobets D. V., Sobolevska M. B., Loskutov O. Ye. Finite-element simulation of the in-service stress and strain field of hip joint elements based on computer tomography data. Teh. Meh. 2026. No. 1. Pp. 73-85. (In Ukrainian). https://doi.org/10.15407/itm2026.01.073 16. Zienkiewicz O. The Finite Element Method in Engineering Science. Moscow: Mir, 1975. 541 pp. (In Russian). 17. Aleksandrov A. V., Potapov V. D. Fundamentals of the Elasticity and Plasticity Theory. Moscow: Vysshaya Shkola, 1990. 400 pp. (In Russian). 18. Kaplun A. B. Ansys in the Engineer's Hands: Manual. Moscow: Editorial URSS, 2003. 272 pp. (In Russian). текст 3 2026-07-02 Article Article https://journal-itm.dp.ua/ojs/index.php/ITM_j1/article/view/195 Technical Mechanics; No. 2 (2026): Technical Mechanics; 98-110 Институт технической механики Национальной академии наук Украины и Государственного космического агентства Украины; № 2 (2026): Technical Mechanics; 98-110 ТЕХНІЧНА МЕХАНІКА; № 2 (2026): ТЕХНІЧНА МЕХАНІКА; 98-110 Copyright (c) 2026 Technical Mechanics |
| spellingShingle | HOROBETS, D. V. SOBOLEVSKA, M. B. LOSKUTOV, O. Ye. MATHEMATICAL SIMULATION OF THE STRESS AND STRAIN FIELD OF HIP JOINT ELEMENTS UNDER STATIC LOADS AT DIFFERENT STAGES AFTER A TOTAL HIP ARTHROPLASTY |
| title | MATHEMATICAL SIMULATION OF THE STRESS AND STRAIN FIELD OF HIP JOINT ELEMENTS UNDER STATIC LOADS AT DIFFERENT STAGES AFTER A TOTAL HIP ARTHROPLASTY |
| title_full | MATHEMATICAL SIMULATION OF THE STRESS AND STRAIN FIELD OF HIP JOINT ELEMENTS UNDER STATIC LOADS AT DIFFERENT STAGES AFTER A TOTAL HIP ARTHROPLASTY |
| title_fullStr | MATHEMATICAL SIMULATION OF THE STRESS AND STRAIN FIELD OF HIP JOINT ELEMENTS UNDER STATIC LOADS AT DIFFERENT STAGES AFTER A TOTAL HIP ARTHROPLASTY |
| title_full_unstemmed | MATHEMATICAL SIMULATION OF THE STRESS AND STRAIN FIELD OF HIP JOINT ELEMENTS UNDER STATIC LOADS AT DIFFERENT STAGES AFTER A TOTAL HIP ARTHROPLASTY |
| title_short | MATHEMATICAL SIMULATION OF THE STRESS AND STRAIN FIELD OF HIP JOINT ELEMENTS UNDER STATIC LOADS AT DIFFERENT STAGES AFTER A TOTAL HIP ARTHROPLASTY |
| title_sort | mathematical simulation of the stress and strain field of hip joint elements under static loads at different stages after a total hip arthroplasty |
| topic_facet | human hip joint computer tomography finite-element simulation stress and strain field endoprosthetics. |
| url | https://journal-itm.dp.ua/ojs/index.php/ITM_j1/article/view/195 |
| work_keys_str_mv | AT horobetsdv mathematicalsimulationofthestressandstrainfieldofhipjointelementsunderstaticloadsatdifferentstagesafteratotalhiparthroplasty AT sobolevskamb mathematicalsimulationofthestressandstrainfieldofhipjointelementsunderstaticloadsatdifferentstagesafteratotalhiparthroplasty AT loskutovoye mathematicalsimulationofthestressandstrainfieldofhipjointelementsunderstaticloadsatdifferentstagesafteratotalhiparthroplasty |