In this paper the authors discuss the free energy function of fractional hereditary materials. The evaluation of the free energy has been obtained from a mechanical model that represents, exactly, the power-law relaxation of the material. The mechanical model separates, exactly, the elastic and the viscous phases, yielding the stored energy of the material that corresponds to the Staverman-Schwarz stress based free energy. Some numerical approximations of the free energy function in terms of the discretized rheological model have been reported in the paper.
|Titolo della pubblicazione ospite||2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014|
|Numero di pagine||6|
|Stato di pubblicazione||Published - 2014|
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Modelling and Simulation
- Numerical Analysis