Fractionalization of anti-Zener and Zener models via rheological analogy

S Jelić, D Zorica - Acta Mechanica, 2023 - Springer
Fractional-order anti-Zener and Zener models are formulated using rheological schemes
corresponding to the classical anti-Zener and Zener models and by considering fractional …

Energy balance for fractional anti-Zener and Zener models in terms of relaxation modulus and creep compliance

S Jelić, D Zorica - Applied Mathematical Modelling, 2023 - Elsevier
Considering the linear constitutive model containing fractional integrals and Riemann-
Liouville fractional derivatives, the power per unit volume is expressed in time domain in …

Stress and power as a response to harmonic excitation of a fractional anti‐Zener and Zener type viscoelastic body

S Jelić, D Zorica - ZAMM‐Journal of Applied Mathematics and …, 2023 - Wiley Online Library
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

D Zorica, L Oparnica - Philosophical Transactions of the …, 2020 - royalsocietypublishing.org
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 consisting of …

Wave propagation in three-dimensional fractional viscoelastic infinite solid body

S Jelić, D Zorica - Physica D: Nonlinear Phenomena, 2024 - Elsevier
In order to analyze the wave propagation in three-dimensional isotropic and viscoelastic
body, the Cauchy initial value problem on unbounded domain is considered for the wave …

Fractional Burgers wave equation on a finite domain

S Jelić, D Zorica - Chaos, Solitons & Fractals, 2022 - Elsevier
Dynamic response of the one-dimensional viscoelastic rod of finite length, that has one end
fixed and the other subject to prescribed either displacement or stress, is analyzed by the …

Optimalno upravljanje kretanjem seizmički pobuđene i bazno izolovane superstrukture u prisustvu pasivnih prigušivača

A Okuka - 2021 - search.proquest.com
U ovoj tezi proučen je problem seizmičke zaštite bazno izolovanog objekta pomoću
pasivnog frakcionog viskoelastičnog prigušivača, pasivnog frikcionog prigušivača i aktivnog …