Add to ORKGNational audienceA simple way of application of not integer (fractional) differential and/or integral operators allow describing in a precise way mechanic, dielectric and magnetic aspects of the viscoelastic behavior of given polymeric systems is presented in this work. Complex elastic modulus relative permittivity and magnetic susceptibility are calculated from circuits builded with the aid of fractional elements: mechanic “spring-pot”, dielectric “cap-resistor” and magnetic “resistor-inductor”. Comporison of theoretical results against experimental results showed that these new fractional calculus models opens the possiblility to correlate several phenomena presented by viscoelastic materials
This study addresses the stress–strain relaxation functions of solid polymers in the framework of th...
The use of linear viscoelasticity together with fractional calculus in time-domain structural modeli...
AbstractThe aim of this research is to develop a fractional mathematical model of α-order (α), by st...
In this paper, electrical analogous models of fractional hereditary materials are introduced. Based ...
Time dependent hereditary properties of complex materials are well described by power-laws with real...
Soft materials often exhibit a distinctive power-law viscoelastic response arising from broad distri...
Polymeric materials are complex, and, very often originate counterintuitive phenomena such as normal...
Non integer, fractional order derivative rheological models are known to be very effective in descr...
In recent decades constitutive equations for polymers involving fractional calculus have been the ob...
none2In the present study non-integer order or fractional derivative rheological models are applied...
Soft materials often exhibit a distinctive power-law viscoelastic response arising from broad distri...
This article focuses on fractional Maxwell model of viscoelastic materials, which are a generalizati...
Fractional derivative rheological models are known to be very effective in describing the viscoelast...
Polymeric materials are known to be more or less dispersive and absorptive. In the field of mechani...
AbstractWe supposed in the work of the research fractional model with one mechanism, which simplifie...
This study addresses the stress–strain relaxation functions of solid polymers in the framework of th...
The use of linear viscoelasticity together with fractional calculus in time-domain structural modeli...
AbstractThe aim of this research is to develop a fractional mathematical model of α-order (α), by st...
In this paper, electrical analogous models of fractional hereditary materials are introduced. Based ...
Time dependent hereditary properties of complex materials are well described by power-laws with real...
Soft materials often exhibit a distinctive power-law viscoelastic response arising from broad distri...
Polymeric materials are complex, and, very often originate counterintuitive phenomena such as normal...
Non integer, fractional order derivative rheological models are known to be very effective in descr...
In recent decades constitutive equations for polymers involving fractional calculus have been the ob...
none2In the present study non-integer order or fractional derivative rheological models are applied...
Soft materials often exhibit a distinctive power-law viscoelastic response arising from broad distri...
This article focuses on fractional Maxwell model of viscoelastic materials, which are a generalizati...
Fractional derivative rheological models are known to be very effective in describing the viscoelast...
Polymeric materials are known to be more or less dispersive and absorptive. In the field of mechani...
AbstractWe supposed in the work of the research fractional model with one mechanism, which simplifie...
This study addresses the stress–strain relaxation functions of solid polymers in the framework of th...
The use of linear viscoelasticity together with fractional calculus in time-domain structural modeli...
AbstractThe aim of this research is to develop a fractional mathematical model of α-order (α), by st...