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Modelling of Abdominal Wall Under Uncertainty of Material Properties

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Computer Methods, Imaging and Visualization in Biomechanics and Biomedical Engineering (CMBBE 2019)

Part of the book series: Lecture Notes in Computational Vision and Biomechanics ((LNCVB,volume 36))

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Abstract

The paper concerns abdominal wall modelling. The accurate prediction and simulation of abdominal wall mechanics are important in the context of optimization of ventral hernia repair. The shell Finite Element model is considered, as the one which can be used in patient-specific approach due to relatively easy geometry generation. However, there are uncertainties in this issue, e.g. related to mechanical properties since the properties may vary naturally or as an effect of identification accuracy etc. The aim of the study is to include uncertainties in the modelling and investigate their influence on the model response. The parameters of Gasser-Ogden-Holzapfel hyperelastic material model including fibre orientation are treated here as random variables. The uncertainties are propagated with the use of regression based polynomial chaos expansion method. Sobol’ indices are used as the measures of global sensitivity analysis and they provide information about the influence of input uncertainties on the uncertainty of the model output. Uncertainty of parameter affecting stiffness of ground substance (\(C_{10}\)) has the highest contribution to the variation of the displacement of chosen point in the center of the abdominal wall.

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Acknowledgments

This work was partially supported by grant UMO-2017/27/B/ST8/02518 from the National Science Centre, Poland and by subsidy for young scientists given by the Faculty of Civil and Environmental Engineering, Gdansk University of Technology. Computations were performed partially in TASK Computer Science Centre, Gdańsk, Poland.

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Authors and Affiliations

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

    Katarzyna Szepietowska & Izabela Lubowiecka

  2. INSA Centre Val de Loire, Univ. Orléans, Univ. Tours, LaMé, EA 7494, 18022, Bourges, France

    Benoit Magnain & Eric Florentin

Authors
  1. Katarzyna Szepietowska
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  2. Izabela Lubowiecka
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  3. Benoit Magnain
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  4. Eric Florentin
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Corresponding author

Correspondence to Katarzyna Szepietowska .

Editor information

Editors and Affiliations

  1. Andrew Walz Professor of Mechanical Engineering and Professor of Biomedical Engineering, Columbia University, New York, NY, USA

    Gerard A. Ateshian

  2. Department of Mechanical Engineering, Columbia University, New York, NY, USA

    Kristin M. Myers

  3. Department of Mechanical Engineering, University of Porto, Porto, Portugal

    João Manuel R. S. Tavares

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Szepietowska, K., Lubowiecka, I., Magnain, B., Florentin, E. (2020). Modelling of Abdominal Wall Under Uncertainty of Material Properties. In: Ateshian, G., Myers, K., Tavares, J. (eds) Computer Methods, Imaging and Visualization in Biomechanics and Biomedical Engineering. CMBBE 2019. Lecture Notes in Computational Vision and Biomechanics, vol 36. Springer, Cham. https://doi.org/10.1007/978-3-030-43195-2_25

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  • DOI: https://doi.org/10.1007/978-3-030-43195-2_25

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-43194-5

  • Online ISBN: 978-3-030-43195-2

  • eBook Packages: EngineeringEngineering (R0)

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