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Related Experiment Videos

On a nonlinear theory for muscle shells: Part I--Theoretical development.

L A Taber1

  • 1Department of Mechanical Engineering and Pediatrics, University of Rochester, NY 14627.

Journal of Biomechanical Engineering
|February 1, 1991
PubMed
Summary

This study introduces a new theory for analyzing large-strain behavior in biological shells, crucial for understanding tissue mechanics and developing advanced biomaterials.

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Area of Science:

  • Biomechanics
  • Materials Science
  • Computational Biology

Background:

  • Biological shells, such as muscle tissues, exhibit complex large-strain behaviors.
  • Understanding these behaviors is vital for fields ranging from developmental biology to medical device design.
  • Existing models often struggle to capture the intricate material properties and deformations involved.

Purpose of the Study:

  • To develop a comprehensive theoretical framework for analyzing the large-strain mechanical response of layered biological shells.
  • To incorporate nonlinear material properties, residual stresses, and muscle activation into a unified model.
  • To provide a foundation for more accurate simulations of biological tissue deformation.

Main Methods:

  • Development of intrinsic equations for laminated-shell theory using lines-of-curvature coordinates.

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  • Accounting for large membrane strains, moderately large bending and transverse shear strains.
  • Derivation of a general two-dimensional strain-energy density function, including residual stress and muscle activation.
  • Formulation of strain-displacement relations for axisymmetric deformations.

    • Main Results:

    • A robust theoretical model capable of predicting the large-strain behavior of biological shells.
    • Inclusion of key factors like nonlinear material properties, transverse normal stress/strain, residual stress, and muscle activation.
    • Specialized equations for shells of revolution undergoing axisymmetric deformation with torsion.

    Conclusions:

    • The presented theory offers a significant advancement in the biomechanical modeling of biological shells.
    • This framework enables more accurate predictions of tissue behavior under physiological and pathological conditions.
    • The model has potential applications in prosthetics, regenerative medicine, and understanding organ function.