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Difference analysis of phenomenological models with two variable forms for soft tissue quasi-static mechanical

Wei Kang1, Peng Xu1, Yanxian Yue1

  • 1Key Laboratory of Biomechanics and Mechanobiology of Ministry of Education, Beijing Advanced Innovation Center for Biomedical Engineering, School of Biological Science and Medical Engineering, Beihang University, Beijing, 100083, China.

Computers in Biology and Medicine
|October 13, 2022
PubMed
Summary

Understanding soft tissue mechanics is crucial for injury evaluation and protective device design. This study compares hyperelastic models, revealing differences in stress-strain behavior under various loads, particularly simple shear.

Keywords:
BiomechanicsPhenomenological modelsPrincipal stretchesQuasi-static experimentStrain invariant

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Area of Science:

  • Biomechanics
  • Materials Science
  • Continuum Mechanics

Background:

  • Accurate mechanical properties of soft tissues are vital for injury assessment and designing protective equipment.
  • Limited research has clarified differences between phenomenological models based on strain invariants versus principal stretch variables.

Purpose of the Study:

  • To compare hyperelastic constitutive models for soft tissues.
  • To derive stress-strain tensor equations using continuum mechanics.
  • To fit experimental data from human brain specimens under various loading conditions.

Main Methods:

  • Enumerated several typical hyperelastic models.
  • Derived tensor equations of stress-strain based on continuum mechanics.
  • Fitted experimental data using least square fitting to determine coefficients of determination.

Main Results:

  • Two variable forms of phenomenological models using the first strain invariant showed consistency under uniaxial compression and tension.
  • The Cauchy stress tensor expressed by strain exhibited distinct differences under simple shear loading.
  • Shear stress derived from models based on strain invariants and principal stretches demonstrated multiple relationships with shear strain.

Conclusions:

  • The study highlights significant differences in soft tissue mechanical characterization based on the chosen constitutive model, especially under shear.
  • Findings aid in developing more accurate injury criteria for soft tissues.
  • Results contribute to a better understanding of soft tissue mechanical behavior for injury evaluation and protective design.