This article offers a reappraisal of Fungâ€™s model for quasilinear 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 discretisation scheme. Finally, the stretch of a compressible viscoelastic bar is determined for two distinct materials: Horgan- Murphy and Gent.
|Journal||Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences|
|Publication status||Published - 2 Apr 2014|
- viscoelastic, quasilinear, Fung, strain energy function, hyperelastic, biological soft tissue