14 citations · 14 across the 1 of their papers we have counts for
4 papers
Spatially fractional-order viscoelasticity, non-locality and a new kind of anisotropy
Andrzej Hanyga, Malgorzata Seredynska
Spatial non-locality of space-fractional viscoelastic equations of motion is studied. Relaxation effects are accounted for by replacing second-order time derivatives by lower-order…
Attenuation, dispersion and finite propagation speed in viscoelastic media
Malgorzata Seredynska, Andrzej Hanyga
It is shown that the dispersion and attenuation functions in a linear viscoelastic medium with a positive relaxation spectrum have a sublinear growth rate at very high frequencies.…
Positive solutions of viscoelastic problems
Malgorzata Seredynska, Andrzej Hanyga
In 1,2 or 3 dimensions a scalar wave excited by a non-negative source in a viscoelastic medium with a non-negative relaxation spectrum or a Newtonian response or both combined inhe…
Cones of material response functions in 1D and anisotropic linear viscoelasticity
M. Seredyńska, A. Hanyga
Viscoelastic materials have non-negative relaxation spectra. This property implies that viscoelastic response functions satisfy certain necessary and sufficient conditions. It is s…