journal article·2025-12-31Open access

Constitutive Modelling of Tendons as Fibre-Reinforced Soft Tissues with a Single Fibre Family: Stress-Relaxation Tests for Parameter Identification

Vito Burgio, Martina Di Giacinti, Paola Antonaci, Cecilia Surace

Applied Sciences· Volume 16· Issue 1

Abstract

Background: Nowadays, flexor hand tendon repair represents a clinical need, and new suture patterns or devices are commonly tested on animal surrogates. Considering the literature, the most frequently adopted animal models for testing are the equivalent tendons taken from porcine specimens. The constitutive modelling of these tendons could open the way to the numerical testing of new repair techniques and the development of digital twins, reducing the use of animal models. Methods: Uniaxial tensile stress-relaxation tests at different strain levels during the loading and unloading phases on porcine tendons were performed. Constitutive formulations based on the assumptions of incompressible and nearly incompressible materials were evaluated. Results: The experimental data were evaluated considering the relaxation tests at different strain levels during both the loading and unloading phases. The experimental tests were used for the material parameter calibration of both models. Conclusions: The stress-relaxation tests conducted at different strain levels during the loading phase showed good agreement with previous findings reported in the literature. Both constitutive model formulations provided a reliable approximation for numerical simulations.
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Research context

OpenAlex topics: Orthopedic Surgery and Rehabilitation · Tendon Structure and Treatment · Elasticity and Material Modeling

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

BIO-MAterials and STructures Laboratory (BIOMAST Lab), Department of Structural, Geotechnical and Building Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy

Funding

EUREKA! venture SGR spa

References (42)

Show source-provided references
1. Worldwide Incidence and Surgical Costs of Tendon Injuries: A Systematic Review and Meta-Analysis10.32098/mltj.01.2023.05 ↗
2. Longo, U., Salvatore, G., Risi Ambrogioni, L., Cella, E., Candela, V., Carnevale, A., Schena, E., Ciccozzi, M., Maffulli, N., and Denaro, V. (2020). Epidemiology of Achilles Tendon Surgery in Italy: A Nationwide Registry Study, from 2001 through 2015. BMC Musculoskelet. Disord., 21.10.1186/s12891-020-03688-2 ↗
3. The Incidence of Acute Traumatic Tendon Injuries in the Hand and Wrist: A 10-Year Population-Based Study10.4055/cios.2014.6.2.196 ↗
4. The Rate of Upper-Extremity Deep-Structure Injuries through Small Penetrating Lacerations10.1097/01.sap.0000168884.88016.e1 ↗
5. The Changing Shape of Hand Trauma: An Analysis of Hospital Episode Statistics in England10.1177/1753193419828986 ↗
6. Mechanical Properties of Animal Ligaments: A Review and Comparative Study for the Identification of the Most Suitable Human Ligament Surrogates10.1007/s10237-023-01718-1 ↗
7. Burgio, V., Civera, M., Reinoso, M.R., Pizzolante, E., Prezioso, S., Bertuglia, A., and Surace, C. (2022). Mechanical Properties of Animal Tendons: A Review and Comparative Study for the Identification of the Most Suitable Human Tendon Surrogates. Processes, 10.10.3390/pr10030485 ↗
8. Zhang, G., Zhou, X., Hu, S., Jin, Y., and Qiu, Z. (2022). Large Animal Models for the Study of Tendinopathy. Front. Cell Dev. Biol., 10.10.3389/fcell.2022.1031638 ↗
9. A Review on Animal Models and Treatments for the Reconstruction of Achilles and Flexor Tendons10.1007/s10856-017-5858-y ↗
10. Flexor Tendon Repair: A Comparative Study between a Knotless Barbed Suture Repair and a Traditional Four-Strand Monofilament Suture Repair10.1177/1753193413487470 ↗
11. A Study of the Anatomy and Repair Strengths of Porcine Flexor and Extensor Tendons: Are They Appropriate Experimental Models?10.1177/1753193411414117 ↗
12. Comparison of Modified Kessler Tendon Suture at Different Levels in the Human Flexor Digitorum Profundus Tendon and Porcine Flexors and Porcine Extensors: An Experimental Biomechanical Study10.1177/1753193411415936 ↗
13. How Does Sutures Pattern Influence Stomach Motility after Endoscopic Sleeve Gastroplasty? A Computational Study10.1007/s13304-024-01917-0 ↗
14. Computational Models for the Mechanical Investigation of Stomach Tissues and Structure10.1007/s10439-019-02229-w ↗
15. A Procedure for the Computational Investigation of Stress-Relaxation Phenomena10.1007/s11043-013-9209-1 ↗
16. Biomechanical Properties of the Human Superficial Fascia: Site-Specific Variability and Anisotropy of Abdominal and Thoracic Regions10.1016/j.jmbbm.2024.106637 ↗
17. Stress Relaxation of Porcine Tendon under Simulated Biological Environment: Experiment and Modeling
18. Nonlinear Solid Mechanics: A Continuum Approach for Engineering Science10.1023/A:1020843529530 ↗
19. Constitutive Modelling of Passive Myocardium: A Structurally Based Framework for Material Characterization10.1098/rsta.2009.0091 ↗
20. Biomechanical Behaviour of Oesophageal Tissues: Material and Structural Configuration, Experimental Data and Constitutive Analysis10.1016/j.medengphy.2009.07.003 ↗
21. A Constitutive Model of Ligaments and Tendons Accounting for Fiber-Matrix Interaction
22. A Damage Model for Collagen Fibres with an Application to Collagenous Soft Tissues
23. Bergstrom, J.S. (2015). Mechanics of Solid Polymers: Theory and Computational Modeling, William Andrew.
24. A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models10.1023/A:1010835316564 ↗
25. A Structural Model for the Viscoelastic Behavior of Arterial Walls: Continuum Formulation and Finite Element Analysis10.1016/S0997-7538(01)01206-2 ↗
26. In Vitro Fatigue of Human Flexor Digitorum Tendons10.1016/j.jmbbm.2024.106842 ↗
27. Mechanical Properties of the Flexor Digitorum Profundus Tendon Attachment10.1007/s12593-013-0097-z ↗
28. A Biomechanical Study of the Flexor Digitorum Superficialis: Effects of Digital Pulley Excision and Loss of the Flexor Digitorum Profundus10.1016/S0363-5023(97)80172-4 ↗
29. Pettenuzzo, S., Belluzzi, E., Pozzuoli, A., Macchi, V., Porzionato, A., Boscolo-Berto, R., Ruggieri, P., Berardo, A., Carniel, E.L., and Fontanella, C.G. (2024). Mechanical Behaviour of Plantar Adipose Tissue: From Experimental Tests to Constitutive Analysis. Bioengineering, 11.10.3390/bioengineering11010042 ↗
30. Kainz, M.P., Greiner, A., Hinrichsen, J., Kolb, D., Comellas, E., Steinmann, P., Budday, S., Terzano, M., and Holzapfel, G.A. (2023). Poro-Viscoelastic Material Parameter Identification of Brain Tissue-Mimicking Hydrogels. Front. Bioeng. Biotechnol., 11.10.3389/fbioe.2023.1143304 ↗
31. Bonaldi, L., Berardo, A., Pirri, C., Stecco, C., Carniel, E.L., and Fontanella, C.G. (2023). Mechanical Characterization of Human Fascia Lata: Uniaxial Tensile Tests from Fresh-Frozen Cadaver Samples and Constitutive Modelling. Bioengineering, 10.10.3390/bioengineering10020226 ↗
32. Nonlinear Ligament Viscoelasticity10.1114/1.1408926 ↗
33. A Finite Nonlinear Hyper-Viscoelastic Model for Soft Biological Tissues10.1016/j.jbiomech.2018.01.025 ↗
34. A Viscoelastic Framework for Inflation Testing of Gastrointestinal Tissue10.1016/j.jmbbm.2019.103569 ↗
35. A Finite Element Approach for Gastrointestinal Tissue Mechanics10.1002/cnm.3269 ↗
36. Comparing Finite Viscoelastic Constitutive Relations and Variational Principles in Modeling Gastrointestinal Soft Tissue Deformation10.1016/j.jmbbm.2024.106560 ↗
37. A Hyperelastic Fibre-Reinforced Continuum Model of Healing Tendons with Distributed Collagen Fibre Orientations10.1007/s10237-016-0774-5 ↗
38. Application of a Fiber-Reinforced Continuum Theory to Multiple Deformations of the Annulus Fibrosus10.1016/S0021-9290(99)00108-6 ↗
39. Ligament Material Behavior Is Nonlinear, Viscoelastic and Rate-Independent under Shear Loading10.1016/S0021-9290(02)00041-6 ↗
40. An Anisotropic Hyperelastic Constitutive Model with Fiber-Matrix Shear Interaction for the Human Annulus Fibrosus10.1115/1.2069987 ↗
41. Theoretical Model and Experimental Results for the Nonlinear Elastic Behavior of Human Annulus Fibrosus10.1016/j.orthres.2003.12.012 ↗
42. Muscle Strength Identification Based on Isokinetic Testing and Spine Musculoskeletal Modeling10.34133/cbsystems.0113 ↗