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A rate-insensitive linear viscoelastic model for soft tissues.

Wei Zhang1, Henry Y Chen, Ghassan S Kassab

  • 1Department of Biomedical Engineering, IUPUI, Indianapolis, IN 46202, USA.

Biomaterials
|May 22, 2007
PubMed
Summary
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This study introduces a novel, simplified generalized Maxwell model for biological soft tissues, accurately describing their rate-insensitive viscoelastic behavior using only five material constants. The model effectively captures vascular viscoelasticity with fewer parameters.

Area of Science:

  • Biomaterials Science
  • Mechanical Engineering
  • Tissue Mechanics

Background:

  • Biological soft tissues exhibit viscoelastic properties.
  • Their hysteresis curves are often independent of strain rate across various loading frequencies.
  • Understanding this rate-insensitivity is crucial for accurate biomechanical modeling.

Purpose of the Study:

  • To develop a simplified generalized Maxwell model for biological soft tissues.
  • To incorporate the rate-insensitive feature of biological materials.
  • To reduce the number of parameters required to characterize viscoelasticity.

Main Methods:

  • A generalized Maxwell model was employed.
  • Characteristic frequencies of Maxwell elements were assumed to form a geometric series.

Related Experiment Videos

  • The model was characterized by five material constants: micro(0), tau, m, rho, and beta.

    • Main Results:

    • The novel model successfully fits relaxation data from canine aorta.
    • It captures key features of vascular viscoelasticity.
    • The model requires significantly fewer parameters than traditional models.

    Conclusions:

    • The proposed five-parameter model effectively describes the rate-insensitive viscoelasticity of biological soft tissues.
    • It offers a simplified yet accurate approach for biomechanical analysis.
    • The model's physical basis is linked to the microstructural architecture of soft tissues.