Journal of Engineering Mathematics

, Volume 95, Issue 1, pp 87–98 | Cite as

Dominant negative Poynting effect in simple shearing of soft tissues



We identify three distinct shearing modes for simple shear deformations of transversely isotropic soft tissue which allow for both positive and negative Poynting effects (that is, they require compressive and tensile lateral normal stresses, respectively, in order to maintain simple shear). The positive Poynting effect is that usually found for isotropic rubber. Here, specialisation of the general results to three strain-energy functions which are quadratic in the anisotropic invariants, linear in the isotropic strain invariants and consistent with the linear theory suggests that there are two Poynting effects which can accompany the shearing of soft tissue: a dominant negative effect in one mode of shear and a relatively small positive effect in the other two modes. We propose that the relative inextensibility of the fibres relative to the matrix is the primary mechanism behind this large negative Poynting effect.


Elasticity Modelling Poynting effect Simple shear Soft tissue Transverse isotropy 


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© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.School of Mathematics, Statistics and Applied MathematicsNational University of Ireland GalwayGalwayIreland
  2. 2.School of Engineering and Applied ScienceUniversity of VirginiaCharlottesvilleUSA
  3. 3.Centre for Medical Engineering ResearchDublin City UniversityDublin 9Ireland

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