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A waviness-centered damage model for collagenous soft tissues.

Jia Lu1, Xuehuan He1, Ferdinando Auricchio2

  • 1Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242, USA.

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Summary

This study introduces a new damage model for collagenous tissues, explaining how fiber waviness influences tissue response under load. The model accurately predicts tissue damage progression, crucial for understanding biomechanical behavior.

Keywords:
Collagen fibersCollagenous tissueDamageRecruitmentWaviness

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Area of Science:

  • Biomechanics
  • Biomaterials Science
  • Tissue Engineering

Background:

  • Collagenous tissues exhibit complex nonlinear behavior under monotonic loading.
  • Fiber waviness significantly influences the mechanical response and damage initiation in these tissues.
  • Existing models may not fully capture the interplay between fiber recruitment and damage progression.

Purpose of the Study:

  • To develop and validate a novel damage model for collagenous tissues under monotonic loading.
  • To elucidate the role of collagen fiber waviness in the initiation and progression of tissue damage.
  • To provide a predictive tool for the biomechanical behavior of vascular tissues.

Main Methods:

  • Postulating damage initiation in straighter, more stretched collagen fibers, progressing to wavier fibers.
  • Modeling the complex nonlinear response as a balance between fiber recruitment and fiber damage.
  • Implementing an evolving damage front within the waviness domain, governed by a power law.
  • Fitting the proposed model to published uniaxial and biaxial test data from vascular tissues.

Main Results:

  • The model successfully captures the competing mechanisms of intact fiber recruitment and damaged fiber loss.
  • An evolving damage front in the waviness domain effectively describes damage progression.
  • The proposed power law for damage front evolution demonstrated excellent agreement with experimental data.
  • The model achieved spot-on fits across four diverse datasets of vascular tissue tests.

Conclusions:

  • The developed damage model accurately represents collagenous tissue behavior under monotonic loading.
  • Collagen fiber waviness is a critical factor determining damage initiation and progression.
  • The model provides a robust framework for predicting the mechanical response and failure of vascular tissues.