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Nesbitt DQ, Burruel DE, Henderson BS, Lujan TJ. Finite element modeling of meniscal tears using continuum damage mechanics and digital image correlation. Sci Rep 2023; 13:4039. [PMID: 36899069 PMCID: PMC10006193 DOI: 10.1038/s41598-023-29111-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2022] [Accepted: 01/31/2023] [Indexed: 03/12/2023] Open
Abstract
Meniscal tears are a common, painful, and debilitating knee injury with limited treatment options. Computational models that predict meniscal tears may help advance injury prevention and repair, but first these models must be validated using experimental data. Here we simulated meniscal tears with finite element analysis using continuum damage mechanics (CDM) in a transversely isotropic hyperelastic material. Finite element models were built to recreate the coupon geometry and loading conditions of forty uniaxial tensile experiments of human meniscus that were pulled to failure either parallel or perpendicular to the preferred fiber orientation. Two damage criteria were evaluated for all experiments: von Mises stress and maximum normal Lagrange strain. After we successfully fit all models to experimental force-displacement curves (grip-to-grip), we compared model predicted strains in the tear region at ultimate tensile strength to the strains measured experimentally with digital image correlation (DIC). In general, the damage models underpredicted the strains measured in the tear region, but models using von Mises stress damage criterion had better overall predictions and more accurately simulated experimental tear patterns. For the first time, this study has used DIC to expose strengths and weaknesses of using CDM to model failure behavior in soft fibrous tissue.
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Affiliation(s)
- Derek Q Nesbitt
- Biomedical Engineering Doctoral Program, Boise State University, Boise, ID, USA
| | - Dylan E Burruel
- Department of Mechanical and Biomedical Engineering, Boise State University, 1910 University Drive, Boise, ID, 83725-2085, USA
| | - Bradley S Henderson
- Department of Mechanical and Biomedical Engineering, Boise State University, 1910 University Drive, Boise, ID, 83725-2085, USA
| | - Trevor J Lujan
- Department of Mechanical and Biomedical Engineering, Boise State University, 1910 University Drive, Boise, ID, 83725-2085, USA.
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Wang T, Yu H, Tian GF, Zhao RX. A pilot study on lengthening potentials and biomechanical effects of double and triple hemisection on tendon with slide lengthening. Sci Rep 2023; 13:3922. [PMID: 36894616 PMCID: PMC9998391 DOI: 10.1038/s41598-023-30791-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/29/2021] [Accepted: 03/01/2023] [Indexed: 03/11/2023] Open
Abstract
The current study explored the slide-lengthening potentials of double and triple hemisections and the biomechanical effects of different inter-hemisection distances. Forty-eight porcine flexor digitorum profundus tendons were divided into double- and triple-hemisection groups (Groups A and B) and a control group (Group C). Group A was divided into Group A1 (distance between hemisections were the same as Group B) and Group A2 (distance between hemisections corresponded to the greatest distance between hemisections in Group B). Biomechanical evaluation, motion analysis, and finite element analysis (FEA) were performed. Failure load of intact tendon was significantly highest among groups. When the distance was 4 cm, the failure load of Group A increased significantly. When the distance between the hemisections was 0.5 or 1 cm, the failure load of Group B was significantly lower than Group A. Tendon elongation and failure load of Group B were significantly lower than those in Group A when the greatest distance between hemisections was the same. Consequently, Double hemisections had a similar lengthening ability to that of triple hemisections with the same distance, but better when the distances between extreme hemisections matched. However, the driving force for the initiation of lengthening may be greater.
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Affiliation(s)
- T Wang
- Burn and Plastic Surgery Department, Shenyang 242 Hospital, No.3 Leshan Road, Shenyang, 110000, China
- Graduate School, Shenyang Medical College, No.5 South Qi West Road, North Huanghe Street, Shenyang, 110000, China
| | - H Yu
- Department of Orthopedics, The First Hospital of China Medical University, 155 Nanjing North Street, Shenyang, 110000, China.
| | - Guo-Fu Tian
- School of Mechanical Engineering, Shenyang University Of Technology, Shenyang, China
| | - Rui-Xiang Zhao
- School of Mechanical Engineering, Shenyang University Of Technology, Shenyang, China
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Zhang CG, Zhao XY, Cao J, Lin YJ, Yang L, Duan XJ. Triple Hemisection Percutaneous Achilles Tendon Lengthening for Severe Ankle Joint Deformity. Orthop Surg 2021; 13:2373-2381. [PMID: 34806335 PMCID: PMC8654661 DOI: 10.1111/os.13096] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 09/02/2020] [Revised: 05/08/2021] [Accepted: 05/11/2021] [Indexed: 11/29/2022] Open
Abstract
Objective To investigate the efficacy of modified percutaneous Achilles tendon lengthening for severe ankle joint deformity. Methods This retrospective case series study included 33 patients with an average age of 25.2 years who underwent surgery in our hospital from April 1, 2010 to March 1, 2018. Triple hemisection percutaneous Achilles tendon lengthening was performed. One stage surgery, other soft tissue surgery or bone correction surgery could be performed. After surgery, a plaster cast was used to fix the functional position, and rehabilitation training was carried out as planned. Complications during the perioperative period were recorded. Statistical analysis of the patients' visual analogue scale (VAS) and American Orthopedic Foot and Ankle Society (AOFAS) score before and at the last follow‐up was performed. The recurrence rate of Achilles tendon contracture at the last follow‐up and the patients' satisfaction rate were investigated. Results All patients were followed up, with an average follow‐up period of 56.31 months (8–104 months). All achieved good ankle joint function and appearance improvement And there were no infection or skin necrosis complications. In two cases, the incision was poorly healed at non‐Achilles tendon site and was cured by change of dressing. The average VAS score at the last follow‐up was reduced from (2 ± 1.48) points before surgery to (0.26 ± 0.51) points (P = 0.001), and the average AOFAS score was increased from (64.97 ± 13.56) points before surgery to (90.06 ± 10.06) points (P = 0.001). During the follow‐up period, there was no chronic rupture of Achilles tendon. There were two cases of recurrence of foot drop (5.7%), and the patients' satisfaction rate was 93.9%. Conclusion In the surgical treatment of severe ankle joint deformity, the application of triple hemisection percutaneous Achilles tendon lengthening for Achilles tendon contracture has the advantages of less trauma, beautiful incision, and reliable efficacy. The satisfaction rate of patients with this treatment is high, and it is worth promoting in the clinic.
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Affiliation(s)
- Chang-Gui Zhang
- Center for Joint Surgery, Southwest Hospital, Third Military Medical University (Army Medical University), Chongqing, China
| | - Xing-Yu Zhao
- Center for Joint Surgery, Southwest Hospital, Third Military Medical University (Army Medical University), Chongqing, China
| | - Jin Cao
- Center for Joint Surgery, Southwest Hospital, Third Military Medical University (Army Medical University), Chongqing, China
| | - Yang-Jing Lin
- Center for Joint Surgery, Southwest Hospital, Third Military Medical University (Army Medical University), Chongqing, China
| | - Liu Yang
- Center for Joint Surgery, Southwest Hospital, Third Military Medical University (Army Medical University), Chongqing, China
| | - Xiao-Jun Duan
- Center for Joint Surgery, Southwest Hospital, Third Military Medical University (Army Medical University), Chongqing, China
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Modified Percutaneous Achilles Tendon Lengthening by Triple Hemisection for Achilles Tendon Contracture. BIOMED RESEARCH INTERNATIONAL 2019; 2019:1491796. [PMID: 31781592 PMCID: PMC6874878 DOI: 10.1155/2019/1491796] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 04/14/2019] [Accepted: 08/10/2019] [Indexed: 01/04/2023]
Abstract
Background Both percutaneous Achilles tendon lengthening by triple hemisection and the traditional open Z-lengthening are effective methods for Achilles tendon contracture. This study aims to evaluate the efficacy and safety of this new therapeutic method, which is based on the percutaneous sliding technique with three hemi-cuts in the tendon, as compared with the traditional open Z-lengthening. Methods Retrospective analysis of the Achilles tendon contracture cases in our hospital between January 2010 and September 2016 was conducted. Twenty-five cases received percutaneous Achilles tendon lengthening (group A), and 30 patients who underwent open Z-lengthening during the same period were in the control group (group B). Operative time and hospital stay were statistically analyzed. Incision complication, equinus recurrence rate and Achilles tendon rupture morbidity were recorded. The function was assessed by American Orthopaedic Foot & Ankle Society (AOFAS) score. All cases in group A received Magnetic Resonance Imaging (MRI) of ankle preoperatively and in the follow-ups. Results The mean follow-up period was 42.04 months in group A and 61.7 months in group B. The entire operative time and the mean hospitalization days were lower in group A than in group B. No incision and infection complication occurred in group A. The infection rate in group B was 3.3%. Equinus recurrence rate was 4% in group A and the equinus recurrence rate in group B was 21.4%. In group A, the mean AOFAS score increased from 64 ± 10.16 points preoperatively to 96.08 ± 3.17 at final follow-up, while the score in group B increased from 63.48 ± 6.2 points to 85.4 ± 10.3. MRI showed continuity of the Achilles tendon and homogeneous signal in group A. Conclusion Modified surgery can significantly reduce the risk of Achilles tendon rupture, provide better balance in soft tissue strength between ankle dorsiflexion and ankle plantarflexion, helping to avoid recurrence of the deformity.
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Safa BN, Santare MH, Elliott DM. A Reactive Inelasticity Theoretical Framework for Modeling Viscoelasticity, Plastic Deformation, and Damage in Fibrous Soft Tissue. J Biomech Eng 2019; 141:021005. [PMID: 30267056 PMCID: PMC6298536 DOI: 10.1115/1.4041575] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/18/2018] [Revised: 09/18/2018] [Indexed: 12/12/2022]
Abstract
Fibrous soft tissues are biopolymeric materials that are made of extracellular proteins, such as different types of collagen and proteoglycans, and have a high water content. These tissues have nonlinear, anisotropic, and inelastic mechanical behaviors that are often categorized into viscoelastic behavior, plastic deformation, and damage. While tissue's elastic and viscoelastic mechanical properties have been measured for decades, there is no comprehensive theoretical framework for modeling inelastic behaviors of these tissues that is based on their structure. To model the three major inelastic mechanical behaviors of tissue's fibrous matrix, we formulated a structurally inspired continuum mechanics framework based on the energy of molecular bonds that break and reform in response to external loading (reactive bonds). In this framework, we employed the theory of internal state variables (ISV) and kinetics of molecular bonds. The number fraction of bonds, their reference deformation gradient, and damage parameter were used as state variables that allowed for consistent modeling of all three of the inelastic behaviors of tissue by using the same sets of constitutive relations. Several numerical examples are provided that address practical problems in tissue mechanics, including the difference between plastic deformation and damage. This model can be used to identify relationships between tissue's mechanical response to external loading and its biopolymeric structure.
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Affiliation(s)
- Babak N. Safa
- Mem. ASME
Department of Mechanical Engineering,
University of Delaware,
Newark, DE 19716;
Department of Biomedical Engineering,
University of Delaware,
Newark, DE 19716
e-mail:
| | - Michael H. Santare
- Fellow ASME
Department of Mechanical Engineering,
University of Delaware,
Newark, DE 19716;
Department of Biomedical Engineering,
University of Delaware,
Newark, DE 19716
e-mail:
| | - Dawn M. Elliott
- Fellow ASME
Department of Biomedical Engineering,
University of Delaware,
Newark, DE 19716;
Department of Mechanical Engineering,
University of Delaware,
Newark, DE 19716
e-mail:
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Peloquin JM, Santare MH, Elliott DM. Short cracks in knee meniscus tissue cause strain concentrations, but do not reduce ultimate stress, in single-cycle uniaxial tension. ROYAL SOCIETY OPEN SCIENCE 2018; 5:181166. [PMID: 30564409 PMCID: PMC6281910 DOI: 10.1098/rsos.181166] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/20/2018] [Accepted: 10/19/2018] [Indexed: 05/15/2023]
Abstract
Tears are central to knee meniscus pathology and, from a mechanical perspective, are crack-like defects (cracks). In many materials, cracks create stress concentrations that cause progressive local rupture and reduce effective strength. It is currently unknown if cracks in meniscus have these consequences; if they do, this would have repercussions for management of meniscus pathology. The objective of this study was to determine if a short crack in meniscus tissue, which mimics a preclinical meniscus tear, (a) causes crack growth and reduces effective strength, (b) creates a near-tip strain concentration and (c) creates unloaded regions on either side of the crack. Specimens with and without cracks were tested in uniaxial tension and compared in terms of macroscopic stress-strain curves and digital image correlation strain fields. The strain fields were used as an indicator of stress concentrations and unloaded regions. Effective strength was found to be insensitive to the presence of a crack (potential effect < 0.86 s.d.; β = 0.2), but significant strain concentrations, which have the potential to lead to long-term accumulation of tissue or cell damage, were observed near the crack tip.
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Affiliation(s)
- John M. Peloquin
- Department of Biomedical Engineering, University of Delaware, Newark, DE, USA
| | - Michael H. Santare
- Department of Mechanical Engineering, University of Delaware, Newark, DE, USA
| | - Dawn M. Elliott
- Department of Biomedical Engineering, University of Delaware, Newark, DE, USA
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Handsfield GG, Inouye JM, Slane LC, Thelen DG, Miller GW, Blemker SS. A 3D model of the Achilles tendon to determine the mechanisms underlying nonuniform tendon displacements. J Biomech 2016; 51:17-25. [PMID: 27919416 DOI: 10.1016/j.jbiomech.2016.11.062] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/21/2016] [Revised: 09/16/2016] [Accepted: 11/19/2016] [Indexed: 02/05/2023]
Abstract
The Achilles is the thickest tendon in the body and is the primary elastic energy-storing component during running. The form and function of the human Achilles is complex: twisted structure, intratendinous interactions, and differential motor control from the triceps surae muscles make Achilles behavior difficult to intuit. Recent in vivo imaging of the Achilles has revealed nonuniform displacement patterns that are not fully understood and may result from complex architecture and musculotendon interactions. In order to understand which features of the Achilles tendon give rise to the nonuniform deformations observed in vivo, we used computational modeling to predict the mechanical contributions from different features of the tendon. The aims of this study are to: (i) build a novel computational model of the Achilles tendon based on ultrashort echo time MRI, (ii) compare simulated displacements with published in vivo ultrasound measures of displacement, and (iii) use the model to elucidate the effects of tendon twisting, intratendon sliding, retrocalcaneal insertion, and differential muscle forces on tendon deformation. Intratendon sliding and differential muscle forces were found to be the largest factors contributing to displacement nonuniformity between tendon regions. Elimination of intratendon sliding or muscle forces reduced displacement nonuniformity by 96% and 85%, respectively, while elimination of tendon twist and the retrocalcaneal insertion reduced displacement nonuniformity by only 35% and 3%. These results suggest that changes in the complex internal structure of the tendon alter the interaction between muscle forces and tendon behavior and therefore may have important implications on muscle function during movement.
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Affiliation(s)
- Geoffrey G Handsfield
- Department of Biomedical Engineering, University of Virginia, United States; Auckland Bioengineering Institute, University of Auckland, New Zealand
| | - Joshua M Inouye
- Department of Biomedical Engineering, University of Virginia, United States
| | - Laura C Slane
- Department of Biomedical Engineering, University of Wisconsin-Madison, United States; Institute for Orthopaedic Research and Training, Katholieke Universiteit Leuven, Belgium
| | - Darryl G Thelen
- Department of Biomedical Engineering, University of Wisconsin-Madison, United States; Department of Mechanical Engineering, University of Wisconsin-Madison, United States
| | - G Wilson Miller
- Department of Radiology and Medical Imaging, University of Virginia, United States
| | - Silvia S Blemker
- Department of Biomedical Engineering, University of Virginia, United States; Department of Orthopaedic Surgery, University of Virginia, United States; Department of Mechanical and Aerospace Engineering, University of Virginia, United States.
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