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Related Experiment Video

Updated: Dec 6, 2025

Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics
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Optimal structural pattern for maximal compliance using topology optimization based on phasefields: Application to

Danas Sutula1, Petr Henyš1, Lukáš Čapek1

  • 1Department of Technologies and Structures l Faculty of Textile Engineering, Technical University of Liberec, Liberec, Czech Republic.

International Journal for Numerical Methods in Biomedical Engineering
|October 10, 2020
PubMed
Summary

This study presents a novel topology optimization method for designing hyper-elastic solids, specifically for optimal human skin graft patterns. The approach prevents structural disintegration, improving graft meshing efficiency.

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Area of Science:

  • Solid mechanics
  • Computational materials science
  • Biomaterials engineering

Background:

  • Designing hyper-elastic solids for applications like human skin grafts presents challenges in achieving maximal compliance.
  • Existing methods may lead to structural disintegration, compromising graft performance.

Purpose of the Study:

  • To develop a phase-field-based topology optimization method for maximal compliance design.
  • To optimize the meshing pattern of human skin grafts for enhanced performance under extreme biaxial extension.

Main Methods:

  • A phase-field-based topology optimization approach utilizing multiple local phase fields.
  • Inclusion of a minimum distance constraint to prevent phase field merging and void coalescence.
  • Application to a sample subjected to 150% biaxial extension (expansion ratio 1:2.25).

Main Results:

  • Successfully prevented structural disintegration by avoiding void coalescence.
  • Identified optimal graft meshing patterns for hyper-elastic solids under significant strain.
  • Proposed three prospective unit-cell solutions exhibiting meta-material behavior for periodic graft patterns.

Conclusions:

  • The developed method offers a robust approach for maximal compliance design in hyper-elastic materials.
  • The findings contribute to improving skin graft meshing efficiency and performance.
  • The study provides a computational framework for designing advanced biomaterials.