Optimization by Fractional Calculus of Low-frequency DMA in Long-memory Materials

A method for analysis of DMA (dynamic mechanical analysis) data in long memory materials was presented recently. The slowly decaying initial transient was accounted for in the framework of a fractional calculus description of material properties. This method is further developed here: the transient is expressed as an adjustable stretched exponential or alternatively Mittag-Leffler function, thus avoiding the requirement for a priori knowledge of the material properties. The necessary correlation delay time is drastically reduced.