Improved five-parameter fractional derivative model for elastomers

• DOI: 10.24423/aom.315
• Publication Date: 2009-01-11
• Authors: Florence Dinzart; P. Lipiński
• Keywords: Derivative (finance)

The dynamic behaviour of elastomers is assumed to follow a constitutive differential equation non-integral (fractional) order. In order describe the peculiar frequency response loss factor, has been refined by introducing fifth parameter classical fourth-order equation. asymmetry factor in domain comes from different time-derivative orders stress and strain. Either smooth or stabilization plateau at high can be modelled suitable difference between two time derivatives. physical validity model discussed parametrical analysis conducted on diagrams relating height width factor.