A1 Journal article (refereed)
Modeling of the Achilles Subtendons and Their Interactions in a Framework of the Absolute Nodal Coordinate Formulation (2022)

Obrezkov, L. P., Finni, T., & Matikainen, M. K. (2022). Modeling of the Achilles Subtendons and Their Interactions in a Framework of the Absolute Nodal Coordinate Formulation. Materials, 15(24), Article 8906. https://doi.org/10.3390/ma15248906

JYU authors or editors

Publication details

All authors or editors: Obrezkov, Leonid P.; Finni, Taija; Matikainen, Marko K.

Journal or series: Materials

eISSN: 1996-1944

Publication year: 2022

Publication date: 13/12/2022

Volume: 15

Issue number: 24

Article number: 8906

Publisher: MDPI

Publication country: Switzerland

Publication language: English

DOI: https://doi.org/10.3390/ma15248906

Publication open access: Openly available

Publication channel open access: Open Access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/85209


Experimental results have revealed the sophisticated Achilles tendon (AT) structure, including its material properties and complex geometry. The latter incorporates a twisted design and composite construction consisting of three subtendons. Each of them has a nonstandard cross-section. All these factors make the AT deformation analysis computationally demanding. Generally, 3D finite solid elements are used to develop models for AT because they can discretize almost any shape, providing reliable results. However, they also require dense discretization in all three dimensions, leading to a high computational cost. One way to reduce degrees of freedom is the utilization of finite beam elements, requiring only line discretization over the length of subtendons. However, using the material models known from continuum mechanics is challenging because these elements do not usually have 3D elasticity in their descriptions. Furthermore, the contact is defined at the beam axis instead of using a more general surface-to-surface formulation. This work studies the continuum beam elements based on the absolute nodal coordinate formulation (ANCF) for AT modeling. ANCF beam elements require discretization only in one direction, making the model less computationally expensive. Recent work demonstrates that these elements can describe various cross-sections and materials models, thus allowing the approximation of AT complexity. In this study, the tendon model is reproduced by the ANCF continuum beam elements using the isotropic incompressible model to present material features.

Keywords: biomechanics; calcaneal tendon; elasticity (physical properties); mathematical models

Free keywords: biomechanics; Achilles tendon; beam-to-beam contact; arbitrary cross-section; ANCF; elasticity

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Ministry reporting: Yes

Reporting Year: 2022

JUFO rating: 1

Last updated on 2023-03-10 at 14:38