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Shin M, Martens PJ, Siegmund T, Kruzic JJ, Gludovatz B. A numerical study of dehydration induced fracture toughness degradation in human cortical bone. J Mech Behav Biomed Mater 2024; 153:106468. [PMID: 38493561 DOI: 10.1016/j.jmbbm.2024.106468] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/15/2023] [Revised: 01/21/2024] [Accepted: 02/15/2024] [Indexed: 03/19/2024]
Abstract
A 2D plane strain extended finite element method (XFEM) model was developed to simulate three-point bending fracture toughness tests for human bone conducted in hydrated and dehydrated conditions. Bone microstructures and crack paths observed by micro-CT imaging were simulated using an XFEM damage model. Critical damage strains for the osteons, matrix, and cement lines were deduced for both hydrated and dehydrated conditions and it was found that dehydration decreases the critical damage strains by about 50%. Subsequent parametric studies using the various microstructural models were performed to understand the impact of individual critical damage strain variations on the fracture behavior. The study revealed the significant impact of the cement line critical damage strains on the crack paths and fracture toughness during the early stages of crack growth. Furthermore, a significant sensitivity of crack growth resistance and crack paths on critical strain values of the cement lines was found to exist for the hydrated environments where a small change in critical strain values of the cement lines can alter the crack path to give a significant reduction in fracture resistance. In contrast, in the dehydrated state where toughness is low, the sensitivity to changes in critical strain values of the cement lines is low. Overall, our XFEM model was able to provide new insights into how dehydration affects the micromechanisms of fracture in bone and this approach could be further extended to study the effects of aging, disease, and medical therapies on bone fracture.
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Affiliation(s)
- Mihee Shin
- School of Mechanical and Manufacturing Engineering, University of New South Wales (UNSW Sydney), Sydney, NSW, 2052, Australia
| | - Penny J Martens
- Graduate School of Biomedical Engineering, University of New South Wales (UNSW Sydney), Sydney, NSW, 2052, Australia
| | - Thomas Siegmund
- School of Mechanical Engineering, Purdue University, West Lafayette, IN, 47907, USA
| | - Jamie J Kruzic
- School of Mechanical and Manufacturing Engineering, University of New South Wales (UNSW Sydney), Sydney, NSW, 2052, Australia
| | - Bernd Gludovatz
- School of Mechanical and Manufacturing Engineering, University of New South Wales (UNSW Sydney), Sydney, NSW, 2052, Australia.
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Demirtas A, Taylor EA, Gludovatz B, Ritchie RO, Donnelly E, Ural A. An integrated experimental-computational framework to assess the influence of microstructure and material properties on fracture toughness in clinical specimens of human femoral cortical bone. J Mech Behav Biomed Mater 2023; 145:106034. [PMID: 37494816 DOI: 10.1016/j.jmbbm.2023.106034] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/15/2022] [Revised: 06/08/2023] [Accepted: 07/16/2023] [Indexed: 07/28/2023]
Abstract
Microstructural and compositional changes that occur due to aging, pathological conditions, or pharmacological treatments alter cortical bone fracture resistance. However, the relative importance of these changes to the fracture resistance of cortical bone has not been quantified in detail. In this technical note, we developed an integrated experimental-computational framework utilizing human femoral cortical bone biopsies to advance the understanding of how fracture resistance of cortical bone is modulated due to modifications in its microstructure and material properties. Four human biopsy samples from individuals with varying fragility fracture history and osteoporosis treatment status were converted to finite element models incorporating specimen-specific material properties and were analyzed using fracture mechanics-based modeling. The results showed that cement line density and osteonal volume had a significant effect on crack volume. The removal of cement lines substantially increased the crack volume in the osteons and interstitial bone, representing straight crack growth, compared to models with cement lines due to the lack of crack deflection in the models without cement lines. Crack volume in the osteons and interstitial bone increased when mean elastic modulus and ultimate strength increased and mean fracture toughness decreased. Crack volume in the osteons and interstitial bone was reduced when material property heterogeneity was incorporated in the models. Although both the microstructure and the heterogeneity of the material properties of the cortical bone independently increased the fracture toughness, the relative contribution of the microstructure was more significant. The integrated experimental-computational framework developed here can identify the most critical microscale features of cortical bone modulated by pathological processes or pharmacological treatments that drive changes in fracture resistance and improve our understanding of the relative influence of microstructure and material properties on fracture resistance of cortical bone.
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Affiliation(s)
- Ahmet Demirtas
- Department of Mechanical Engineering, Villanova University, Villanova, PA, USA
| | - Erik A Taylor
- Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY, USA
| | - Bernd Gludovatz
- School of Mechanical and Manufacturing Engineering, University of New South Wales (UNSW Sydney), Sydney, NSW, 2052, Australia
| | - Robert O Ritchie
- Department of Materials Science and Engineering, University of California, Berkeley, CA, 94720, USA
| | - Eve Donnelly
- Department of Materials Science and Engineering, Cornell University, Ithaca, NY, USA; Musculoskeletal Integrity Program, Weill Cornell Medicine, Research Institute, Hospital for Special Surgery, New York City, NY, USA
| | - Ani Ural
- Department of Mechanical Engineering, Villanova University, Villanova, PA, USA.
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Allahyari P, Silani M, Yaghoubi V, Milovanovic P, Schmidt FN, Busse B, Qwamizadeh M. On the fracture behavior of cortical bone microstructure: The effects of morphology and material characteristics of bone structural components. J Mech Behav Biomed Mater 2023; 137:105530. [PMID: 36334581 DOI: 10.1016/j.jmbbm.2022.105530] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/01/2022] [Revised: 09/29/2022] [Accepted: 10/14/2022] [Indexed: 11/06/2022]
Abstract
Bone encompasses a complex arrangement of materials at different length scales, which endows it with a range of mechanical, chemical, and biological capabilities. Changes in the microstructure and characteristics of the material, as well as the accumulation of microcracks, affect the bone fracture properties. In this study, two-dimensional finite element models of the microstructure of cortical bone were considered. The eXtended Finite Element Method (XFEM) developed by Abaqus software was used for the analysis of the microcrack propagation in the model as well as for local sensitivity analysis. The stress-strain behavior obtained for the different introduced models was substantially different, confirming the importance of bone tissue microstructure for its failure behavior. Considering the role of interfaces, the results highlighted the effect of cement lines on the crack deflection path and global fracture behavior of the bone microstructure. Furthermore, bone micromorphology and areal fraction of cortical bone tissue components such as osteons, cement lines, and pores affected the bone fracture behavior; specifically, pores altered the crack propagation path since increasing porosity reduced the maximum stress needed to start crack propagation. Therefore, cement line structure, mineralization, and areal fraction are important parameters in bone fracture. The parameter-wise sensitivity analysis demonstrated that areal fraction and strain energy release rate had the greatest and the lowest effect on ultimate strength, respectively. Furthermore, the component-wise sensitivity analysis revealed that for the areal fraction parameter, pores had the greatest effect on ultimate strength, whereas for the other parameters such as elastic modulus and strain energy release rate, cement lines had the most important effect on the ultimate strength. In conclusion, the finding of the current study can help to predict the fracture mechanisms in bone by taking the morphological and material properties of its microstructure into account.
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Affiliation(s)
- P Allahyari
- Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
| | - M Silani
- Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran.
| | - V Yaghoubi
- Structural Integrity & Composites, Faculty of Aerospace Engineering, Delft University of Technology, 2629 HS, Delft, Netherlands
| | - P Milovanovic
- Center of Bone Biology, Institute of Anatomy, Faculty of Medicine, University of Belgrade, 11000, Belgrade, Serbia
| | - F N Schmidt
- Department of Osteology and Biomechanics, University Medical Center Hamburg-Eppendorf, 22529, Hamburg, Germany; Interdisciplinary Competence Center for Interface Research (ICCIR), University Medical Center Hamburg-Eppendorf, 22529, Hamburg, Germany
| | - B Busse
- Department of Osteology and Biomechanics, University Medical Center Hamburg-Eppendorf, 22529, Hamburg, Germany; Interdisciplinary Competence Center for Interface Research (ICCIR), University Medical Center Hamburg-Eppendorf, 22529, Hamburg, Germany
| | - M Qwamizadeh
- Department of Osteology and Biomechanics, University Medical Center Hamburg-Eppendorf, 22529, Hamburg, Germany; Interdisciplinary Competence Center for Interface Research (ICCIR), University Medical Center Hamburg-Eppendorf, 22529, Hamburg, Germany.
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Hickey DJ, Lorman B, Fedder IL. Improved response of osteoprogenitor cells to titanium plasma-sprayed PEEK surfaces. Colloids Surf B Biointerfaces 2019; 175:509-16. [PMID: 30572159 DOI: 10.1016/j.colsurfb.2018.12.037] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/20/2018] [Revised: 11/16/2018] [Accepted: 12/12/2018] [Indexed: 11/22/2022]
Abstract
Orthopedic implants benefit from a surface that encourages direct bony ongrowth (contact osteogenesis). This process is initiated as osteoprogenitor cells attach to the implant surface and deposit a calcium-enriched, collagen-deficient interfacial layer known as the cement line, which provides an anchoring foundation for the subsequent production of collagenous bone matrix from differentiated osteoblasts. Despite the importance of the cement line, the conditions affecting its deposition are incompletely understood. The current study aimed to examine cement line formation from human osteoprogenitor cells (hFOB 1.19) on a titanium plasma-sprayed PEEK (termed Ti-PEEK) surface exhibiting hierarchical roughness, compared to two relatively flat implant materials, PEEK and Ti-6Al-4 V (Ti). The hierarchical roughness of Ti-PEEK surfaces created more surface area (40% increase at the microscale) for greater cellular proliferation and stimulated significantly increased calcium deposition, which was produced by osteoprogenitor cells in their undifferentiated state. The absence of increases in alkaline phosphatase confirmed that cells remained undifferentiated, and the lack of variation in collagen measurements supported the non-collagenous composition of the cement line. Impressively, after just 24 h, the calcium deposition measured on Ti-PEEK surfaces was 305% and 470% higher than on Ti and PEEK, respectively, providing evidence that Ti-PEEK surfaces may enhance contact osteogenesis by stimulating accelerated cement line formation from undifferentiated osteoprogenitor cells.
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Milovanovic P, Vom Scheidt A, Mletzko K, Sarau G, Püschel K, Djuric M, Amling M, Christiansen S, Busse B. Bone tissue aging affects mineralization of cement lines. Bone 2018; 110:187-193. [PMID: 29427789 DOI: 10.1016/j.bone.2018.02.004] [Citation(s) in RCA: 34] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 09/27/2017] [Revised: 02/02/2018] [Accepted: 02/06/2018] [Indexed: 12/25/2022]
Abstract
Cement lines are known as thin peripheral boundaries of the osteons. With a thickness below 5 μm their composition of inorganic and organic compounds has been a matter of debate. Here, we hypothesized that cement lines become hypermineralized and their degree of mineralization is not constant but related to the tissue age of the osteon. Therefore, we analyzed the calcium content of osteons and their corresponding cement lines in a range of different tissue ages reflected by osteonal mineralization levels in femoral cortical bone of both postmenopausal women with osteoporosis and bisphosphonate-treated cases. Quantitative backscattered electron imaging (qBEI) showed that cement lines are hypermineralized entities with consistently higher calcium content than their corresponding osteons (mean calcium content: 29.46 ± 0.80 vs. 26.62 ± 1.11 wt%; p < 0.001). Micro-Raman spectroscopy complemented the qBEI data by showing a significantly higher phosphate/amide I ratio in the cement lines compared to the osteonal bone (8.78 ± 0.66 vs. 6.33 ± 0.58, p < 0.001), which was both due to an increased phosphate peak and a reduced amide I peak in cement lines. A clear positive correlation of cement line mineralization and the mineralization of the osteon was observed (r = 0.839, p = 0.003). However, the magnitude of the difference between cement line and osteonal calcium content decreased with increased osteonal calcium content (r = -0.709, p < 0.001), suggesting diverging mineralization dynamics in these osseous entities. The number of mineralized osteocyte lacunae per osteon bone area correlated positively with both osteonal and cement line calcium content (p < 0.01). The degree of mineralization of cement lines may represent another tissue-age related phenomenon, given that it strongly relates to the osteonal mineralization level. Understanding of the cement lines' mineralization and their changes in aging and disease states is important for predicting crack propagation pathways and fracture resistance mechanisms in human cortical bone.
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Affiliation(s)
- Petar Milovanovic
- Department of Osteology and Biomechanics, University Medical Center Hamburg-Eppendorf, Lottestr. 55a, 22529 Hamburg, Germany; Laboratory for Anthropology and Skeletal Biology, Institute of Anatomy, Faculty of Medicine, University of Belgrade, Dr. Subotica 4/2, 11000 Belgrade, Serbia
| | - Annika Vom Scheidt
- Department of Osteology and Biomechanics, University Medical Center Hamburg-Eppendorf, Lottestr. 55a, 22529 Hamburg, Germany
| | - Kathrin Mletzko
- Department of Osteology and Biomechanics, University Medical Center Hamburg-Eppendorf, Lottestr. 55a, 22529 Hamburg, Germany
| | - George Sarau
- Institute of Optics, Information and Photonics, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Staudtstr 7/B2, 91058 Erlangen, Germany; Max Planck Institute for the Science of Light, Staudtstr. 2, 91058 Erlangen, Germany; Helmholtz-Zentrum Berlin für Materialien und Energie, Hahn-Meitner Platz 1, 14109 Berlin, Germany
| | - Klaus Püschel
- Department of Forensic Medicine, University Medical Center Hamburg-Eppendorf, Martinistr. 52, 20246 Hamburg, Germany
| | - Marija Djuric
- Laboratory for Anthropology and Skeletal Biology, Institute of Anatomy, Faculty of Medicine, University of Belgrade, Dr. Subotica 4/2, 11000 Belgrade, Serbia
| | - Michael Amling
- Department of Osteology and Biomechanics, University Medical Center Hamburg-Eppendorf, Lottestr. 55a, 22529 Hamburg, Germany
| | - Silke Christiansen
- Max Planck Institute for the Science of Light, Staudtstr. 2, 91058 Erlangen, Germany; Helmholtz-Zentrum Berlin für Materialien und Energie, Hahn-Meitner Platz 1, 14109 Berlin, Germany; Physics Department, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany
| | - Björn Busse
- Department of Osteology and Biomechanics, University Medical Center Hamburg-Eppendorf, Lottestr. 55a, 22529 Hamburg, Germany.
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