Waves propagation in a fractional viscoelastic continuum
- Authors: Di Paola, M; Pirrotta, A; Zingales, M
- Publication year: 2009
- Type: Proceedings
- Key words: Fractional calculus; Relaxation modulus;Impulse response; Viscoelasticity; Waves propagation
- OA Link: http://hdl.handle.net/10447/42036
Abstract
In this paper the analysis of waves scattering in a fractional-type viscoelastic material is analyzed. Such a material involves, in the constitutive equation, the presence of noninteger order derivatives of the strain filed yielding a memory-type behavior of the material model. The presence of such a term has been also justified experimentally reporting the relaxation modulus of polymeric materials, obtained from experimental test, that are well-fitted by a powerlaw of fractional order. Some numerical applications reporting the standing-waves condition of an 1D solid varying the fractional differentiation order has also been reported in the paper.