6533b7d6fe1ef96bd1267532

RESEARCH PRODUCT

Waves propagation in a fractional viscoelastic continuum

Mario Di PaolaAntonina PirrottaMassimiliano Zingales

subject

Relaxation moduluImpulse responseViscoelasticityFractional calculuSettore ICAR/08 - Scienza Delle CostruzioniWaves propagation

description

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.

http://hdl.handle.net/10447/42036