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Efficient isogeometric thin shell formulations for soft biological materials.

Farshad Roohbakhshan1, Roger A Sauer2

  • 1Aachen Institute for Advanced Study in Computational Engineering Science (AICES), RWTH Aachen University, Templergraben 55, 52056, Aachen, Germany.

Biomechanics and Modeling in Mechanobiology
|April 14, 2017
PubMed
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This study introduces efficient computational methods for modeling thin shells, suitable for soft tissues and large deformations. The research validates these approaches through simulations, including medical applications like balloon angioplasty.

Area of Science:

  • Computational mechanics
  • Biomaterials science
  • Finite element analysis

Background:

  • Modeling thin shells with large deformations requires robust constitutive models.
  • Kirchhoff-Love theory provides a foundation for thin shell analysis.
  • Computational efficiency is crucial for complex simulations, especially in biomechanics.

Purpose of the Study:

  • To present and compare three novel constitutive approaches for modeling thin rotation-free shells.
  • To develop formulations capable of handling large deformations and nonlinearities in soft tissues.
  • To assess the performance of these approaches with various material models and numerical examples.

Main Methods:

  • Developed three constitutive models for thin shells based on the Kirchhoff-Love hypothesis.
Keywords:
AngioplastyContact modelingIsogeometric analysisKirchhoff–Love shellSoft biological materialsThin rotation-free shells

Related Experiment Videos

  • Implemented isogeometric analysis using NURBS-based finite elements for surface discretization.
  • Investigated two computationally efficient approaches avoiding numerical integration through thickness.
  • Examined six isotropic and anisotropic material models relevant to soft biological materials.

    • Main Results:

    • Demonstrated the capability of the proposed formulations to handle large deformations and material/geometrical nonlinearities.
    • Showcased the computational efficiency of the non-integration-based approaches.
    • Successfully simulated complex scenarios, including contact during balloon angioplasty.

    Conclusions:

    • The presented constitutive approaches offer efficient and accurate methods for modeling thin shells, particularly for soft biological tissues.
    • The isogeometric formulation with NURBS-based finite elements is effective for complex shell surface discretization.
    • The study provides a valuable tool for simulating soft tissue mechanics and medical device interactions.