5 citations · 5 across the 3 of their papers we have counts for
7 papers
On solutions of matrix-valued convolution equations, anisotropic fractional derivatives and their applications in linear and non-linear anisotropic viscoelasticity
Andrzej Hanyga
A relation between matrix-valued complete Bernstein functions and matrix-valued Stieltjes functions is applied to prove that the solutions of matricial convolution equations with e…
Effects of Newtonian viscosity and relaxation on linear viscoelastic wave propagation
Andrzej Hanyga
In an important class of linear viscoelastic media the stress is the superposition of a Newtonian term and a stress relaxation term. It is assumed that the creep compliance is a Be…
On solutions of a class of matrix-valued convolution equations
Andrzej Hanyga
We apply a relation between matrix-valued complete Bernstein functions and matrix-valued Stieltjes functions to prove that certain convolution equations for matrix-valued functions…
A simple proof of a duality theorem with applications in scalar and anisotropic viscoelasticity
Andrzej Hanyga
A new concise proof is given of a duality theorem connecting completely monotone relaxation functions with Bernstein class creep functions in one-dimensional and anisotropic 3D vis…
A simple proof of a duality theorem with applications in viscoelasticity
Andrzej Hanyga
A new concise proof is given of a duality theorem connecting completely monotone relaxation functions with Bernstein class creep functions. The proof makes use of the theory of com…
Plane waves in anisotropic viscoelastic media
Andrzej Hanyga
Two concepts of plane waves in anisotropic viscoelastic media are studied. One of these concepts allows for the use of methods based on the theory of complete Bernstein functions.…