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Isogeometric Shell Analysis of the Human Abdominal Wall

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Innovations in Biomedical Engineering (AAB 2020)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1223))

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Abstract

In this paper, a nonlinear isogeometric Kirchhoff–Love shell model of the human abdominal wall is proposed. Its geometry is based on in vivo measurements obtained from a polygon mesh that is transformed into a NURBS surface, and then used directly for the finite element analysis. The passive response of the abdominal wall model under uniform pressure is considered. A hyperelastic membrane model based on the Gasser–Ogden–Holzapfel tissue model is used together with the Koiter bending model to describe the material behavior. Due to the mixed material formulation, different sets of constitutive parameters are examined such that the influence of each term is analyzed. The membrane contribution of the material model has a major influence on the displacement magnitude and reflects more reliably the nonlinear character of the deformation.

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Acknowledgements

This work has been partially supported by the National Science Centre (Poland) under [Grant No. 2017/27/B/ST8/02518] and the German Science Foundation (DFG) under grant GSC 111. Calculations have been carried out at the Academic Computer Centre in Gdańsk.

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Authors and Affiliations

  1. Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, ul. Narutowicza 11/12, 80-233, Gdańsk, Poland

    Bartosz Borzeszkowski & Izabela Lubowiecka

  2. Aachen Institute for Advanced Study in Computational Engineering Science (AICES), RWTH Aachen University, Templergraben 55, 52056, Aachen, Germany

    Thang X. Duong & Roger A. Sauer

Authors
  1. Bartosz Borzeszkowski
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  2. Thang X. Duong
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  3. Roger A. Sauer
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  4. Izabela Lubowiecka
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Corresponding author

Correspondence to Bartosz Borzeszkowski .

Editor information

Editors and Affiliations

  1. Faculty of Biomedical Engineering/Department of Biomechatronics, Silesian University of Technology, Zabrze, Poland

    Marek Gzik

  2. Faculty of Biomedical Engineering/Department of Biomaterials and Medical Devices Engineering, Silesian University of Technology, Zabrze, Poland

    Zbigniew Paszenda

  3. Faculty of Biomedical Engineering/Department of Informatics and Medical Devices, Silesian University of Technology, Zabrze, Poland

    Ewa Pietka

  4. Faculty of Biomedical Engineering/Department of Biosensors and Processing of Biomedical Signals, Silesian University of Technology, Zabrze, Poland

    Ewaryst Tkacz

  5. American Heart of Poland, Katowice, Poland

    Krzysztof Milewski

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Borzeszkowski, B., Duong, T.X., Sauer, R.A., Lubowiecka, I. (2021). Isogeometric Shell Analysis of the Human Abdominal Wall. In: Gzik, M., Paszenda, Z., Pietka, E., Tkacz, E., Milewski, K. (eds) Innovations in Biomedical Engineering. AAB 2020. Advances in Intelligent Systems and Computing, vol 1223. Springer, Cham. https://doi.org/10.1007/978-3-030-52180-6_2

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