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Mehrzad Tartibi1, Julius M Guccione1, David J Steigmann2

  • 1Department of Surgery, University of California, San Francisco, CA 94143.

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This study analyzes the equilibrium response of a swollen bio-elastic cylinder. The findings detail how infused liquids affect the material

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Area of Science:

  • Biomechanics
  • Materials Science
  • Fluid Dynamics

Background:

  • Bio-elastic materials are crucial in biomedical applications.
  • Understanding swelling behavior is key for predicting material performance.
  • Diffusive balance laws govern liquid-solid interactions.

Purpose of the Study:

  • To analyze the equilibrium response of a radially deformed bio-elastic cylinder.
  • To investigate the effects of infused liquid on material behavior.
  • To model the interplay between elastic deformation and diffusive swelling.

Main Methods:

  • Theoretical analysis of equilibrium states.
  • Application of constitutive models for isotropic, incompressible bio-elastic materials.
  • Incorporation of a static diffusive balance law for the infused liquid.

Main Results:

  • Characterization of the cylinder's equilibrium configuration under radial deformation.
  • Quantification of the swelling-induced stress and strain distribution.
  • Demonstration of the influence of the diffusive balance law on the overall response.

Conclusions:

  • The equilibrium response is significantly influenced by the infused liquid.
  • The model provides a framework for predicting the behavior of swollen bio-elastic components.
  • Further research can extend this to dynamic swelling and more complex geometries.