Exploitation of the linear theory in the non-linear modelling of soft tissue. (February 2015)

• Record Type: Journal Article
• Authors: Murphy, JG; Saccomandi, G
• Other Names: Casey James guest-editor.
• Is Part Of: Mathematics and mechanics of solids. Volume 20:Number 2(2015:Feb.)
• Page Start: 190
• Page End: 203
• Publication Date: 2015-02
• Subjects: Nonlinear elasticity -- incompressible -- transversely isotropic -- soft tissue; Materials -- Mechanical properties -- Periodicals; Solids -- Periodicals; Materials science -- Mathematics -- Periodicals; 620.11205
• DOI: 10.1177/1081286514544261
• Languages: English
• ISSNs: 1081-2865

Abstract

It is shown here how the linear theory of incompressible, transversely isotropic elasticity can positively influence the choice of strain-energy function of the non-linear theory so that the corresponding models of the mechanical response of biological soft tissue have a motivation based on mechanics. Specifically, it is shown that the structures of the linear theory have non-linear counterparts that could prove useful in the modelling of the moderate strain regime of soft tissue and that the recovery of the linear theory when the non-linear theory is restricted to infinitesimal deformations has important consequences for the choice of the strain-energy function.