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Modelling of Knitted Abdominal Implant in the Context of Constitutive Law Selection

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Innovations in Biomedical Engineering 2023

Abstract

Four hyperelastic anizotropic constitutive equations are considered to model a selected knitted abdominal implant. The goal was to select the model, which provides numerical response of the implant under pressure load the closest to experimentally observed. The compared quantity was the position of the extreme reaction force induced by the pressure in the implant supports. All considered models revealed similar qualitative results, showing anizotropy of the material with preferential directions oblique to the implant knitting pattern. However, Gasser-Ogden-Holzapfel model showed the preferential direction closest to the experimentally determined and thus can be best recommended to model knitted abdominal implant under pressure load.

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Acknowledgement

This work has been supported by the National Science Centre (Poland) (grant no. UMO-2017/27/B/ST8/02518). Calculations have been partially carried out at the Academic Computer Centre in Gdansk.

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Correspondence to Agnieszka Tomaszewska .

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Reznikov, D., Tomaszewska, A. (2024). Modelling of Knitted Abdominal Implant in the Context of Constitutive Law Selection. In: Gzik, M., Paszenda, Z., Piętka, E., Tkacz, E., Milewski, K., Jurkojć, J. (eds) Innovations in Biomedical Engineering 2023. Lecture Notes in Networks and Systems, vol 875. Springer, Cham. https://doi.org/10.1007/978-3-031-52382-3_17

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