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Cumulative microdamage model to describe the hysteresis of living tissue

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Abstract

A hysteresis model based on a cumulative microfailure criterion has been proposed to describe the stress-stretch behavior in response to external mechanical loading in strip biaxial deformation of living animal tissue (cat's mesentery). The strain energy density representation used in the hysteresis model appears to be adequately versatile to describe the tissue response over a wide range of stretch. The model is thus useful in interpreting the influence of the material parameters on the birefringence of the tissue as well as on the magnitude and shape of the stress response. Photomicrographs of the tissue have been correlated with the cumulative microfailure model.

The theoretical treatment is also a valuable tool in elucidating the full consequences of the mesentery'sin situ biaxial tension in the strip biaxial mode of testing. Incorporation of non-Gaussian chain statistics and network theory into the microdamage model would be the next logical step in extending its range of application.

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Authors and Affiliations

  1. Division of Engineering and Applied Science, California Institute of Technology, 91109, Pasadena, California

    Billie Mae Chu

  2. Shock Hydrodynamics, 91316, Encino, California

    Paul J. Blatz

Authors
  1. Billie Mae Chu
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  2. Paul J. Blatz
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Financial support from California Institute of Technology President's Fund 009 is gratefully acknowledged.

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Chu, B.M., Blatz, P.J. Cumulative microdamage model to describe the hysteresis of living tissue. Ann Biomed Eng 1, 204–211 (1972). https://doi.org/10.1007/BF02584207

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  • DOI: https://doi.org/10.1007/BF02584207

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