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Modelling tissue behaviour based on hyperelasticity theory

J Valenta1, M Růzicka, R Cihák

  • 1Department of Biomechanics and Strength of Materials, Czech Technical University, Faculty of Mechanical Engineering, Prague.

Bio-Medical Materials and Engineering
|January 1, 1994
PubMed
Summary
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Tissue aging involves changes in mechanical properties due to cyclic loading. This study introduces a new coefficient to quantify age-related mechanical changes in tissues, aiding in understanding tissue degeneration.

Area of Science:

  • Biomechanics
  • Materials Science
  • Gerontology

Background:

  • Tissues undergo physiological changes during growth and aging, including alterations in water and collagen content.
  • Mechanical loading, large displacements, and rotations affect tissue function.
  • Aging tissues like aorta, myocardium, and bone exhibit reduced water, increased collagen, or decreased mineral and collagen content.

Purpose of the Study:

  • To investigate the strain energy function and constitutive equations of living tissues based on hyperelasticity theory.
  • To formulate a strain energy function dependent on biological time.
  • To define a coefficient of tissue aging as a diagnostic parameter.

Main Methods:

  • Utilized hyperelasticity theory with rotationless strain.

Related Experiment Videos

  • Proposed eigenvalue decomposition of the rotationless strain tensor.
  • Formulated strain energy function based on biological time.
  • Defined quantity of strain energy function per unit of biological time.
  • Determined constitutive equations dependent on biological time.
  • Performed regression analysis to determine theoretical stress-strain curves.

    • Main Results:

    • Strain energy function formulated to depend on biological time.
    • Defined quantity of strain energy function per unit of biological time to characterize mechanical response velocity.
    • Introduced a coefficient of tissue aging, independent of the rotationless strain tensor.
    • Determined theoretical stress-strain curves for myocardium and blood vessels.
    • Observed progressive increase in aging coefficient for hardening tissues (e.g., coronary artery) and slow increase for softening tissues.

    Conclusions:

    • The developed framework allows for constitutive equations dependent on biological time.
    • The coefficient of tissue aging provides a diagnostic parameter for age-related mechanical changes.
    • The study reveals distinct aging patterns in hardening versus softening tissues.