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Maghami E, Sadighi A, Najafi AR. Fracture behavior of human cortical bone with high glycation content under dynamic loading. J Mech Behav Biomed Mater 2024; 155:106577. [PMID: 38759587 DOI: 10.1016/j.jmbbm.2024.106577] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/22/2023] [Revised: 02/29/2024] [Accepted: 05/08/2024] [Indexed: 05/19/2024]
Abstract
The present study simulates the fracture behavior of diabetic cortical bone with high levels of advanced glycation end-products (AGEs) under dynamic loading. We consider that the increased AGEs in diabetic cortical bone degrade the materials heterogeneity of cortical bone through a reduction in critical energy release rates of the microstructural features. To simulate the initiation and propagation of cracks, we implement a phase field fracture framework on 2D models of human tibia cortical microstructure. The simulations show that the mismatch between the fracture properties (e.g., critical energy release rate) of osteons and interstitial tissue due to high AGEs contents can change crack growth trajectories. The results show crack branching in the cortical microstructure under dynamic loading is affected by the mismatches related to AGEs. In addition, we observe cortical features such as osteons and cement lines can prevent multiple cracking under dynamic loading even with changing the mismatches due to high AGEs. Furthermore, under dynamic loading, some toughening mechanisms can be activated and deactivated with different AGEs contents. In conclusion, the current findings present that the combination of the loading type and materials heterogeneity of microstructural features can change the fracture response of diabetic cortical bone and its fragility.
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Affiliation(s)
- Ebrahim Maghami
- Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, PA 19104, USA
| | - Amirreza Sadighi
- Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, PA 19104, USA
| | - Ahmad R Najafi
- Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, PA 19104, USA.
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Maghami E, Najafi A. Microstructural fatigue fracture behavior of glycated cortical bone. Med Biol Eng Comput 2023; 61:3021-3034. [PMID: 37582979 DOI: 10.1007/s11517-023-02901-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/15/2023] [Accepted: 07/29/2023] [Indexed: 08/17/2023]
Abstract
The current study aims to simulate fatigue microdamage accumulation in glycated cortical bone with increased advanced glycation end-products (AGEs) using a phase field fatigue framework. We link the material degradation in the fracture toughness of cortical bone to the high levels of AGEs in this tissue. We simulate fatigue fracture in 2D models of cortical bone microstructure extracted from human tibias. The results present that the mismatch between the critical energy release rate of microstructural features (e.g., osteons and interstitial tissue) can alter crack initiation and propagation patterns. Moreover, the high AGEs content through the increased mismatch ratio can cause the activation or deactivation of bone toughening mechanisms under cyclic loading. The fatigue fracture simulations also show that the lifetime of diabetic cortical bone samples can be dependent on the geometry of microstructural features and the mismatch ratio between the features. Additionally, the results indicate that the trapped cracks in cement lines in the diabetic cortical microstructure can prevent further crack growth under cyclic loading. The present findings show that alterations in the materials heterogeneity of microstructural features can change the fatigue fracture response, lifetime, and fragility of cortical bone with high AGEs contents. Cortical bone models are created from microscopy images taken from the cortical cross-section of human tibias. Increased glycation contents in the cortical bone sample can change the crack growth trajectories.
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Ding H, Cui Z, Maghami E, Chen Y, Matinlinna JP, Pow EHN, Fok ASL, Burrow MF, Wang W, Tsoi JKH. Morphology and mechanical performance of dental crown designed by 3D-DCGAN. Dent Mater 2023; 39:320-332. [PMID: 36822895 DOI: 10.1016/j.dental.2023.02.001] [Citation(s) in RCA: 15] [Impact Index Per Article: 15.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/03/2022] [Revised: 02/06/2023] [Accepted: 02/14/2023] [Indexed: 02/23/2023]
Abstract
OBJECTIVES This study utilised an Artificial Intelligence (AI) method, namely 3D-Deep Convolutional Generative Adversarial Network (3D-DCGAN), which is one of the true 3D machine learning methods, as an automatic algorithm to design a dental crown. METHODS Six hundred sets of digital casts containing mandibular second premolars and their adjacent and antagonist teeth obtained from healthy personnel were machine-learned using 3D-DCGAN. Additional 12 sets of data were used as the test dataset, whereas the natural second premolars in the test dataset were compared with the designs in (1) 3D-DCGAN, (2) CEREC Biogeneric, and (3) CAD for morphological parameters of 3D similarity, cusp angle, occlusal contact point number and area, and in silico fatigue simulations with finite element (FE) using lithium disilicate material. RESULTS The 3D-DCGAN design and natural teeth had the lowest discrepancy in morphology compared with the other groups (root mean square value = 0.3611). The Biogeneric design showed a significantly (p < 0.05) higher cusp angle (67.11°) than that of the 3D-DCGAN design (49.43°) and natural tooth (54.05°). No significant difference was observed in the number and area of occlusal contact points among the four groups. FE analysis showed that the 3D-DCGAN design had the best match to the natural tooth regarding the stress distribution in the crown. The 3D-DCGAN design was subjected to 26.73 MPa and the natural tooth was subjected to 23.97 MPa stress at the central fossa area under physiological occlusal force (300 N); the two groups showed similar fatigue lifetimes (F-N curve) under simulated cyclic loading of 100-400 N. Designs with Biogeneric or technician would yield respectively higher or lower fatigue lifetime than natural teeth. SIGNIFICANCE This study demonstrated that 3D-DCGAN could be utilised to design personalised dental crowns with high accuracy that can mimic both the morphology and biomechanics of natural teeth.
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Affiliation(s)
- Hao Ding
- Dental Materials Science, Applied Oral Sciences and Community Dental Care, Faculty of Dentistry, The University of Hong Kong, Hong Kong
| | - Zhiming Cui
- Department of Computer Science, Faculty of Engineering, The University of Hong Kong, Hong Kong; School of Biomedical Engineering, ShanghaiTech University, Shanghai, China
| | - Ebrahim Maghami
- Department of Mechanical Engineering and Mechanics, College of Engineering, Drexel University, Philadelphia, USA
| | - Yanning Chen
- Dental Materials Science, Applied Oral Sciences and Community Dental Care, Faculty of Dentistry, The University of Hong Kong, Hong Kong
| | - Jukka Pekka Matinlinna
- Dental Materials Science, Applied Oral Sciences and Community Dental Care, Faculty of Dentistry, The University of Hong Kong, Hong Kong; Division of Dentistry, School of Medical Sciences, The University of Manchester, Manchester, UK
| | - Edmond Ho Nang Pow
- Restorative Dental Sciences, Faculty of Dentistry, The University of Hong Kong, Hong Kong
| | - Alex Siu Lun Fok
- Minnesota Dental Research Center for Biomaterials and Biomechanics, School of Dentistry, University of Minnesota, USA
| | - Michael Francis Burrow
- Restorative Dental Sciences, Faculty of Dentistry, The University of Hong Kong, Hong Kong
| | - Wenping Wang
- Department of Computer Science, Faculty of Engineering, The University of Hong Kong, Hong Kong; Department of Visualization, College of Architecture, Texas A&M University, USA
| | - James Kit Hon Tsoi
- Dental Materials Science, Applied Oral Sciences and Community Dental Care, Faculty of Dentistry, The University of Hong Kong, Hong Kong.
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Chen Y, Maghami E, Bai X, Huang C, Pow EHN, Tsoi JKH. Which dentine analogue material can replace human dentine for crown fatigue test? Dent Mater 2023; 39:86-100. [PMID: 36503862 DOI: 10.1016/j.dental.2022.11.020] [Citation(s) in RCA: 7] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/09/2022] [Revised: 11/19/2022] [Accepted: 11/25/2022] [Indexed: 12/13/2022]
Abstract
OBJECTIVE To seek dentine analogue materials in combined experimental, analytical, and numerical approaches on the mechanical properties and fatigue behaviours that could replace human dentine in a crown fatigue laboratory test. METHODS A woven glass fibre-filled epoxy (NEMA grade G10; G10) and a glass fibre-reinforced polyamide-nylon (30% glass fibre reinforced polyamide-nylon 6,6; RPN) were investigated and compared with human dentine (HD). Flexural strength and elastic modulus (n = 10) were tested on beam-shaped specimens via three-point bending, while indentation hardness (n = 3) was tested after fracture. Abutment substrates of G10, RPN and HD were prepared and resin-bonded with monolithic lithium disilicate crowns (n = 10), then subjected to wet cyclic loading in a step-stress manner (500 N initial load, 100 N step size, 100,000 cycles per step, 20 Hz frequency). Data were statistically analysed using Kruskal-Wallis one-way ANOVA followed by post-hoc comparisons (α = 0.05). Survival probability estimation was performed by Mantel-Cox Log-Rank test with 95% confidence intervals. The fatigue failure load (FFL) and the number of cycles until failure (NCF) were evaluated with Weibull statistics. Finite Element Models of the fatigue test were established for stress distribution analysis and lifetime prediction. Fractographic observations were qualitatively analysed. RESULTS The flexural strength of HD (164.27 ± 14.24 MPa), G10 (116.48 ± 5.93 MPa), and RPN (86.73 ± 3.56 MPa) were significantly different (p < 0.001), while no significant difference was observed in their flexural moduli (p = 0.377) and the indentation hardness between HD and RPN (p = 0.749). The wet cyclic fatigue test revealed comparable mean FFL and NCF of G10 and RPN to HD (p = 0.237 and 0.294, respectively) and similar survival probabilities for the three groups (p = 0.055). However, RPN promotes higher stability and lower deviation of fatigue test results than G10 in Weibull analysis and FEA. SIGNIFICANCE Even though dentine analogue materials might exhibit similar elastic properties and fatigue performance to human dentine, different reliabilities of fatigue on crown-dentine analogues were shown. RPN seems to be a better substrate that could provide higher reliability and predictability of laboratory study results.
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Affiliation(s)
- Yanning Chen
- Dental Materials Science, Applied Oral Sciences and Community Dental Care, Faculty of Dentistry, The University of Hong Kong, Hong Kong, China
| | - Ebrahim Maghami
- Department of Mechanical Engineering and Mechanics, College of Engineering, Drexel University, Philadelphia, PA 19104, USA
| | - Xuedong Bai
- Dental Materials Science, Applied Oral Sciences and Community Dental Care, Faculty of Dentistry, The University of Hong Kong, Hong Kong, China
| | - Cui Huang
- The State Key Laboratory Breeding Base of Basic Science of Stomatology (Hubei-MOST) & Key Laboratory for Oral Biomedicine Ministry of Education, School and Hospital of Stomatology, Wuhan University, Wuhan, China
| | - Edmond Ho Nang Pow
- Prosthodontics, Restorative Dental Sciences, Faculty of Dentistry, The University of Hong Kong, Hong Kong, China
| | - James Kit Hon Tsoi
- Dental Materials Science, Applied Oral Sciences and Community Dental Care, Faculty of Dentistry, The University of Hong Kong, Hong Kong, China.
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Maghami E, Najafi AR. Influence of age-related changes on crack growth trajectories and toughening mechanisms in human dentin. Dent Mater 2022; 38:1789-1800. [DOI: 10.1016/j.dental.2022.09.009] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/18/2022] [Revised: 09/19/2022] [Accepted: 09/22/2022] [Indexed: 11/30/2022]
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Enhanced Gamma-Ray Attenuation-Based Detection System Using an Artificial Neural Network. PHOTONICS 2022. [DOI: 10.3390/photonics9060382] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
Abstract
Scale deposition is the accumulation of various materials in the walls of transmission lines and unwanted parts in the oil and gas production system. It is a leading moot point in all transmission lines, tanks, and petroleum equipment. Scale deposition leads to drastic detrimental problems, reduced permeability, pressure and production losses, and direct financial losses due to the failure of some equipment. The accumulation of oil and gas leads to clogged pores and obstruction of fluid flow. Considering the passage of a two-phase flow, our study determines the thickness of the scale, and the flow regime is detected with the help of two Multilayer Perceptron (MLP) networks. First, the diagnostic system consisting of a dual-energy source, a steel pipe, and a NaI detector was implemented, using the Monte Carlo N Particle Code (MCNP). Subsequently, the received signals were processed, and properties were extracted using the wavelet transform technique. These features were considered as inputs of an Artificial Neural Network (ANN) model used to determine the type of flow regimes and predict the scale thickness. By accurately classifying the flow regimes and determining the scale inside the pipe, our proposed method provides a platform that could enhance many areas of the oil industry.
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Ozdemir B, Ilday NO, Ozdemir SB, Suleyman F, Duymus ZY. The effect of erosive beverages and polishing systems on the surface properties of nanohybrid composite resin. Niger J Clin Pract 2022; 25:248-254. [PMID: 35295044 DOI: 10.4103/njcp.njcp_1361_21] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/04/2022]
Abstract
Aims and Background The aim of this study is to evaluate the surface microhardness and roughness of composites treated with three different polishing systems exposed to two different corrosive beverages. Material and Methods Ninety-six composite resin disks were randomly divided into four groups, one of which was the control group. The surface roughness and microhardness values were measured after 24 h in the polishing process. The samples were divided into three subgroups and kept in distilled water, cola, and ice tea for 20 min a day for 14 days. Then, the roughness and microhardness measurements of the samples were taken again. Two samples randomly selected from each group were examined using a scanning electron microscope (SEM) and analyzed statistically using the two way anova (ANOVA) and Duncan tests. Results A statistically significant difference was found between the roughness and hardness values at the end of 24 h and 14 days. Onegloss (OG), Dentoflex (DF), and Super-snap (SNP) polish systems showed the highest roughness in the cola group, respectively. Microhardness values: The unpolished group had the lowest significant microhardness in the coke group (P < 0.05). Conclusion In this study, it was seen that the lowest success rate was the OG polishing system.
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Affiliation(s)
- B Ozdemir
- Department of Restorative Dentistry, Faculty of Dentistry, Giresun University, Giresun, Turkey
| | - N Ozakar Ilday
- Department of Restorative Dentistry, Faculty of Dentistry, Atatürk University, Erzurum, Turkey
| | - S B Ozdemir
- Department of Restorative Dentistry, Faculty of Dentistry, Atatürk University, Erzurum, Turkey
| | - F Suleyman
- Department of Prosthodontics, Hamidiye Faculty of Dentistry, University of Health Sciences, Istanbul, Turkey
| | - Z Yesil Duymus
- Department of Prosthodontics, Faculty of Dentistry, Recep Tayyip Erdogan University, Rize, Turkey
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Maghami E, Moore JP, Josephson TO, Najafi AR. Damage analysis of human cortical bone under compressive and tensile loadings. Comput Methods Biomech Biomed Engin 2022; 25:342-357. [PMID: 35014938 DOI: 10.1080/10255842.2021.2023135] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Abstract
Developing advanced fracture tools can increase the understanding of crack growth trajectories in human cortical bone. The present study investigates fracture micromechanics of human cortical bone under compressive and tensile loadings utilizing a phase field method. We construct two-dimensional finite element models from cortical microstructure of a human tibia cross section. We apply compression on the cortical bone models to create compressive microcracks. Then, we simulate the fracture of these models under tension to discover influential parameters on microcracks formation and post-yielding behavior. The results show that cement lines are susceptible sites to damage nucleation under compression rather than tension. The findings of this study also indicate a higher accumulation of initial damage (induced by compression) can lead to a lower microscopic stiffness as well as a less resistant material to damage initiation under tension. The simulations further indicate that the post-yielding properties (e.g., toughness) can be dependent on different variables such as morphological information of the osteons, the initial accumulation of microcracks, and the total length of cement lines.
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Affiliation(s)
- Ebrahim Maghami
- Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, Pennsylvania, USA
| | - Jason P Moore
- Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, Pennsylvania, USA
| | - Timothy O Josephson
- Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, Pennsylvania, USA
| | - Ahmad R Najafi
- Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, Pennsylvania, USA
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Josephson TO, Moore JP, Maghami E, Freeman TA, Najafi AR. Computational study of the mechanical influence of lacunae and perilacunar zones in cortical bone microcracking. J Mech Behav Biomed Mater 2021; 126:105029. [PMID: 34971951 DOI: 10.1016/j.jmbbm.2021.105029] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/05/2021] [Revised: 11/05/2021] [Accepted: 12/02/2021] [Indexed: 02/01/2023]
Abstract
The mechanical behavior of cortical bone is influenced by microstructural components such as osteons, Haversian canals, and osteocyte lacunae that arise from biological remodeling processes. This study takes a computational approach to investigate the role of the perilacunar zones formed by the local remodeling processes of lacunar-dwelling osteocytes by utilizing phase-field finite element models based on histological imaging of human bone. The models simulated the microdamage accumulation that occurs in cortical bone under transverse compression in bone without lacunae, with lacunae, and with a perilacunar zone surrounding lacunae in order to investigate the role of these features. The results of the simulations found that while lacunae create stress concentration which initiate further damage, perilacunar regions can delay or prevent the emergence and growth of microcracks.
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Affiliation(s)
- Timothy O Josephson
- Department of Mechanical Engineering and Mechanics, Drexel University, 3141 Chestnut Street, Philadelphia, 19104, PA, USA
| | - Jason P Moore
- Department of Mechanical Engineering and Mechanics, Drexel University, 3141 Chestnut Street, Philadelphia, 19104, PA, USA
| | - Ebrahim Maghami
- Department of Mechanical Engineering and Mechanics, Drexel University, 3141 Chestnut Street, Philadelphia, 19104, PA, USA
| | - Theresa A Freeman
- Department of Orthopaedic Surgery, Sidney Kimmel Medical College of Thomas Jefferson University, 1015 Walnut Street, Philadelphia, 19107, PA, USA
| | - Ahmad R Najafi
- Department of Mechanical Engineering and Mechanics, Drexel University, 3141 Chestnut Street, Philadelphia, 19104, PA, USA.
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Manan DT, Kim J, de Melo RM, Zhang Y. Design Equations for Mixed-Mode Fracture of Dental Ceramic-Cement Interfaces Using the Brazil-Nut-Sandwich Test. JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY 2021; 143:041006. [PMID: 35832730 PMCID: PMC8598202 DOI: 10.1115/1.4050972] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/12/2021] [Revised: 04/21/2021] [Accepted: 04/22/2021] [Indexed: 06/15/2023]
Abstract
Dental interfaces are subject to mixed-mode loading. This study provides practical guidance for determining interfacial fracture toughness of dental ceramic systems. We address interfacial fracture of a composite resin cement sandwiched between two dental ceramic materials. Emphasis is placed on sandwich disc specimens with cracks originating from elliptical-shaped flaws near the center, for which analytical fracture mechanics methods fail to predict. The interaction integral method is used to provide accurate finite element solutions for cracks with elliptical-shaped flaws in a Brazil-nut-sandwich specimen. The developed model was first validated with existing experimental data and then used to evaluate the three most widely used dental ceramic systems: polycrystalline ceramics (zirconia), glass-ceramics (lithium disilicate), and feldspathic ceramics (porcelain). Contrary to disc specimens with ideal cracks, those with cracks emanating from elliptical-shaped flaws do not exhibit a monotonic increase in interfacial toughness. Also, interfacial fracture toughness is seen to have a direct relationship with the aspect ratio of elliptical-shaped flaws and an inverse relationship with the modulus ratio of the constituents. The presence of an elliptical-shaped flaw significantly changes the interfacial fracture behavior of sandwich structures. Semi-empirical design equations are provided for fracture toughness and stress intensity factors for interfacial cracks. The developed design equations provide practical guidance for determining interfacial fracture toughness of selected dental ceramic material systems. Those equations take into account four critical factors: size of the elliptical flaw, modulus ratio of constituent materials, loading angle, and applied load.
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Affiliation(s)
- David Tamim Manan
- Department of Civil and, Environmental Engineering, University of Connecticut, 261 Glenbrook Road, U-3037, Storrs, CT 06269
| | - Jeongho Kim
- Department of Civil and Environmental Engineering, University of Connecticut, 261 Glenbrook Road, U-3037, Storrs, CT 06269
| | - Renata Marques de Melo
- Department of Dental Materials and Prosthodontics, Institute of Science and Technology of, Sao Jose dos Campos, Sao Paulo State University (UNESP), Sao Jose dos Campos, SP 01049, Brazil
| | - Yu Zhang
- Department of Preventive and Restorative Sciences;, School of Dental Medicine, University of Pennsylvania, Philadelphia, PA 19104
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Maghami E, Josephson TO, Moore JP, Rezaee T, Freeman TA, Karim L, Najafi AR. Fracture behavior of human cortical bone: Role of advanced glycation end-products and microstructural features. J Biomech 2021; 125:110600. [PMID: 34246065 DOI: 10.1016/j.jbiomech.2021.110600] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/07/2021] [Revised: 06/21/2021] [Accepted: 06/24/2021] [Indexed: 01/22/2023]
Abstract
Diabetes is associated with increased fracture risk in human bone, especially in the elderly population. In the present study, we investigate how simulated advanced glycation end-products (AGEs) and materials heterogeneity affect crack growth trajectory in human cortical bone. We used a phase field fracture framework on 2D models of cortical microstructure created from human tibias to analyze crack propagation. The increased AGEs level results in a higher rate of crack formation. The simulations also indicate that the mismatch between the fracture properties (e.g., critical energy release rate) of osteons and interstitial tissue can alter the post-yielding behavior. The results show that if the critical energy release rate of cement lines is lower than that of osteons and the surrounding interstitial matrix, cracks can be arrested by cement lines. Additionally, activation of toughening mechanisms such as crack merging and branching depends on bone microstructural morphology (i.e., osteons geometrical parameters, canals, and lacunae porosities). In conclusion, the present findings suggest that materials heterogeneity of microstructural features and the crack-microstructure interactions can play important roles in bone fragility.
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Affiliation(s)
- Ebrahim Maghami
- Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, PA 19104, USA
| | - Timothy O Josephson
- Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, PA 19104, USA
| | - Jason P Moore
- Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, PA 19104, USA
| | - Taraneh Rezaee
- Department of Bioengineering, University of Massachusetts Dartmouth, 285 Old Westport Road, Dartmouth, MA 02747, USA
| | - Theresa A Freeman
- Thomas Jefferson University Division of Orthopaedic Research, Philadelphia, PA 19107, USA
| | - Lamya Karim
- Department of Bioengineering, University of Massachusetts Dartmouth, 285 Old Westport Road, Dartmouth, MA 02747, USA
| | - Ahmad R Najafi
- Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, PA 19104, USA.
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