76 citations · 240 across the 13 of their papers we have counts for
14 papers
Stress and power as a response to harmonic excitation of a fractional anti-Zener and Zener type viscoelastic body
Slađan Jelić, Dušan Zorica
The stress as a response to strain prescribed as a harmonic excitation is examined in both transient and steady state regime for the viscoelastic body modeled by thermodynamically…
Energy dissipation for hereditary and energy conservation for non-local fractional wave equations
Dušan Zorica, Ljubica Oparnica
Using the method of a priori energy estimates, energy dissipation is proved for the class of hereditary fractional wave equations, obtained through the system of equations consisti…
Fractional Burgers wave equation
Ljubica Oparnica, Dušan Zorica, Aleksandar Okuka
Thermodynamically consistent fractional Burgers constitutive models for viscoelastic media, divided into two classes according to model behavior in stress relaxation and creep test…
Fractional Burgers models in creep and stress relaxation tests
Aleksandar S. Okuka, Dušan Zorica
Classical and thermodynamically consistent fractional Burgers models are examined in creep and stress relaxation tests. Using the Laplace transform method, the creep compliance and…
Distributed order fractional constitutive stress-strain relation in wave propagation modeling
Sanja Konjik, Ljubica Oparnica, Dusan Zorica
Distributed order fractional model of viscoelastic body is used in order to describe wave propagation in infinite media. Existence and uniqueness of fundamental solution to the gen…
Solvability and microlocal analysis of the fractional Eringen wave equation
Günther Hörmann, Ljubica Oparnica, Dušan Zorica
We discuss unique existence and microlocal regularity properties of Sobolev space solutions to the fractional Eringen wave equation, initially given in the form of a system of equa…
Microlocal analysis of fractional wave equations
Günther Hörmann, Ljubica Oparnica, Dušan Zorica
We determine the wave front sets of solutions to two special cases of the Cauchy problem for the space-time fractional Zener wave equation, one being fractional in space, the other…
Nano and viscoelastic Beck's column on elastic foundation
Teodor M. Atanackovic, Yanni Bouras, Dusan Zorica
Beck's type column on Winkler type foundation is the subject of the present analysis. Instead of the Bernoulli-Euler model describing the rod, two generalized models will be adopte…
Complex order fractional derivatives in viscoelasticity
Teodor M. Atanacković, Sanja Konjik, Stevan Pilipović +1
We introduce complex order fractional derivatives in models that describe viscoelastic materials. This can not be carried out unrestrictedly, and therefore we derive, for the first…
Impact of a body against a rigid wall. Problem involving non-smooth and history dependent energy dissipation mechanism
Dusan Zorica, Miodrag Zigic, Nenad Grahovac
We study the impact of a body against a rigid wall. The body consists of a rigid block and a viscoelastic rod described by the fractional Zener model. Translatory motion of a body…
On a initial value problem arising in mechanics
Teodor M. Atanackovic, Stevan Pilipovic, Dusan Zorica
We study initial value problem for a system consisting of an integer order and distributed-order fractional differential equation describing forced oscillations of a body attached…
Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type
Teodor M. Atanackovic, Stevan Pilipovic, Dusan Zorica
We study forced oscillations of a rod with a body attached to its free end so that the motion of a system is described by two sets of equations, one of integer and the other of the…
On a system of equations arising in viscoelasticity theory of fractional type
Teodor M. Atanackovic, Stevan Pilipovic, Dusan Zorica
We study a system of partial differential equations with integer and fractional derivatives arising in the study of forced oscillatory motion of a viscoelastic rod. We propose a ne…
Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod
Teodor M. Atanackovic, Stevan Pilipovic, Dusan Zorica
We study waves in a rod of finite length with a viscoelastic constitutive equation of fractional distributed-order type for the special choice of weight functions. Prescribing boun…