Journal
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 470, Issue 2166, Pages -Publisher
ROYAL SOC
DOI: 10.1098/rspa.2014.0058
Keywords
viscoelastic; quasi-linear; Fung; strain energy function; hyperelastic; biological soft tissue
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Funding
- Engineering and Physical Research Council [EP/H050779/1]
- Engineering and Physical Sciences Research Council [EP/H050779/1, EP/I01912X/1] Funding Source: researchfish
- EPSRC [EP/H050779/1, EP/I01912X/1] Funding Source: UKRI
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This paper offers a reappraisal of Fung's model for quasi-linear viscoelasticity. It is shown that a number of negative features exhibited in other works, commonly attributed to the Fung approach, are merely a consequence of the way it has been applied. The approach outlined herein is shown to yield improved behaviour and offers a straightforward scheme for solving a wide range of models. Results from the new model are contrasted with those in the literature for the case of uniaxial elongation of a bar: for an imposed stretch of an incompressible bar and for an imposed load. In the latter case, a numerical solution to a Volterra integral equation is required to obtain the results. This is achieved by a high-order discretization scheme. Finally, the stretch of a compressible viscoelastic bar is determined for two distinct materials: Horgan-Murphy and Gent.
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