Physical invariant constitutive equation for soft tissues

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1 Scopus citations


Principal axis formulations are regularly used in isotropic elasticity but they are not often used in dealing with anisotropic problems. In this paper, based on a principal axis technique, we develop a physical invariant constitutive equation for incompressible transversely isotropic solids, where it contains only a one variable (general) function. The corresponding strain energy function depends on four invariants that have immediate physical interpretation. These invariants are useful in facilitating an experiment to obtain a specific constitutive equation for a particular type of materials. The explicit appearance of the classical ground state constants in the constitutive equation simplifies the calculation for their admissible values. A specific constitutive model is proposed for soft tissues and the model fits reasonably well with existing experimental data; it is also able to accurately predict experiment data.

Original languageBritish English
Title of host publicationDesign and Manufacture in Mechanical Engineering
Number of pages6
StatePublished - 2013
EventInternational Symposium on Mechatronics and Applied Mechanics, ISMAM 2013 - Nanjing, China
Duration: 15 May 201316 May 2013

Publication series

NameApplied Mechanics and Materials
ISSN (Print)1660-9336
ISSN (Electronic)1662-7482


ConferenceInternational Symposium on Mechatronics and Applied Mechanics, ISMAM 2013


  • Incompressible
  • Invariants with immediate physical meaning
  • Principal axes
  • Soft tissues
  • Strain energy
  • Transversely isotropic


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