Fractional calculus, i.e. the theory of derivatives and integrals of non-integer order, can be efficiently used for the theoretical modelling of viscoelastic materials. Our research is focused on the polyvinyl butyral which is used as an interlayer for the laminated glass. Polyvinyl butyral can be classified as a viscoelastic material and the introduction of the fractional viscoelasticity seems to be appropriate tool for its description. This paper briefly introduces the springpot element and its connection into more complex theoretical models. We mainly consider the generalized Maxwell model in its standard and fractional form and show their application by fitting the data obtained by experimental analysis
The aim of this paper is to present the implementation of 3D fractional viscoelastic constitutive th...
Time dependent hereditary properties of complex materials are well described by power-laws with real...
In this paper, electrical analogous models of fractional hereditary materials are introduced. Based...
Laminated glass is a composite made of elastic glass layers sandwiching thin viscoelastic polymeric ...
AbstractThe aim of this research is to develop a fractional mathematical model of α-order (α), by st...
A model is proposed to evaluate the effects of explosions on laminated glass plates, made of glass p...
A mathematical approach, alternative to the classical formulation of linear viscoelasticity, defines...
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...
We present and review several models of fractional viscous stresses from the literature, which gener...
AbstractWe supposed in the work of the research fractional model with one mechanism, which simplifie...
The design of modern products and processes cannot prescind from the usage of viscoelastic materials...
In recent decades constitutive equations for polymers involving fractional calculus have been the ob...
In this paper, we show how fractional viscoelastic models can be efficient in the modeling of linear...
The use of linear viscoelasticity together with fractional calculus in time-domain structural modeli...
The aim of this paper is to present the implementation of 3D fractional viscoelastic constitutive th...
Time dependent hereditary properties of complex materials are well described by power-laws with real...
In this paper, electrical analogous models of fractional hereditary materials are introduced. Based...
Laminated glass is a composite made of elastic glass layers sandwiching thin viscoelastic polymeric ...
AbstractThe aim of this research is to develop a fractional mathematical model of α-order (α), by st...
A model is proposed to evaluate the effects of explosions on laminated glass plates, made of glass p...
A mathematical approach, alternative to the classical formulation of linear viscoelasticity, defines...
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...
We present and review several models of fractional viscous stresses from the literature, which gener...
AbstractWe supposed in the work of the research fractional model with one mechanism, which simplifie...
The design of modern products and processes cannot prescind from the usage of viscoelastic materials...
In recent decades constitutive equations for polymers involving fractional calculus have been the ob...
In this paper, we show how fractional viscoelastic models can be efficient in the modeling of linear...
The use of linear viscoelasticity together with fractional calculus in time-domain structural modeli...
The aim of this paper is to present the implementation of 3D fractional viscoelastic constitutive th...
Time dependent hereditary properties of complex materials are well described by power-laws with real...
In this paper, electrical analogous models of fractional hereditary materials are introduced. Based...