Wave propagation and viscoelastic materials modelling

  1. S. Jelić, D. Zorica, Wave propagation in three-dimensional fractional viscoelastic infinite solid body, Physica D: Nonlinear Phenomena, 464 (2024) 134185–1–30.
  2. S. Jelić, D. Zorica, Stress and power as a response to harmonic excitation of a fractional anti-Zener and Zener type viscoelastic body, Zeitschrift für Angewandte Mathematik und Mechanik, 104 (2024) e202300968–1–33.
  3. S. Jelić, D. Zorica, Energy balance for fractional anti-Zener and Zener models in terms of relaxation modulus and creep compliance, Applied Mathematical Modelling, 123 (2023) 688–728.
  4. S. Jelić, D. Zorica, Fractionalization of anti-Zener and Zener models via rheological analogy, Acta Mechanica, 234 (2023) 313–354.
  5. S. Jelić, D. Zorica, Fractional Burgers wave equation on a finite domain, Chaos, Solitons and Fractals, 154 (2022) 111632–1–26.
  6. D. Zorica, Lj. Oparnica, Energy dissipation for hereditary and energy conservation for non-local fractional wave equations, Philosophical Transactions of the Royal Society A, 378 (2020) 20190295–1–24.
  7. A. Okuka, D. Zorica, Fractional Burgers models in creep and stress relaxation tests, Applied Mathematical Modelling, 77 (2020) 1894–1935.
  8. D. Zorica, Hereditariness and non-locality in wave propagation modelling, Theoretical and Applied Mechanics, 47 (2020) 19–31.
  9. Lj. Oparnica, D. Zorica, A. Okuka, Fractional Burgers wave equation, Acta Mechanica, 230 (2019) 4321–4340.
  10. S. Konjik, Lj. Oparnica, D. Zorica, Distributed order fractional constitutive stress-strain relation in wave propagation modeling, Zeitschrift für Angewandte Mathematik und Physik, 70 (2019) 51–1–21.
  11. G. Hörmann, Lj. Oparnica, D. Zorica, Solvability and microlocal analysis of the fractional Eringen wave equation, Mathematics and Mechanics of Solids, 23 (2018) 1420–1430.
  12. A. Okuka, D. Zorica, Formulation of thermodynamically consistent fractional Burgers models, Acta Mechanica, 229 (2018) 3557–3570.
  13. Y. Bouras, D. Zorica, T. M. Atanacković, Z. Vrcelj, A non-linear thermo-viscoelastic rheological model based on fractional derivatives for high temperature creep in concrete, Applied Mathematical Modelling 55 (2018) 551–568.
  14. D. Zorica, M. Žigić, N. Grahovac, Viscoelastic body colliding against a rigid wall with and without dry friction effects, Applied Mathematical Modelling, 45 (2017) 365–382.
  15. G. Hörmann, Lj. Oparnica, D. Zorica, Microlocal analysis of fractional wave equations, Zeitschrift für Angewandte Mathematik und Mechanik, 97 (2017) 217–225.
  16. T. M. Atanackovic, S. Konjik, S. Pilipovic, D. Zorica, Complex order fractional derivatives in viscoelasticity, Mechanics of Time-Dependent Materials, 20 (2016) 175–195.
  17. T. M. Atanackovic, M. Janev, Lj. Oparnica, S. Pilipovic, D. Zorica, Space-time fractional Zener wave equation, Proceedings of the Royal Society A, 471 (2015) 201406141–1–25.
  18. T. M. Atanackovic, S. Pilipovic, D. Zorica, An initial value problem arising in mechanics, Archive of Applied Mechanics, 84 (2014) 219–233.
  19. N. Challamel, D. Zorica, T. M. Atanackovic, D. T. Spasic, On the fractional generalization of Eringen’s nonlocal elasticity for wave propagation, Comptes Rendus de Mécanique, 341 (2013) 298–303.
  20. T. M. Atanackovic, S. Pilipovic, D. Zorica, Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type, International Journal of Engineering Science, 64 (2013) 54–65.
  21. T. M. Atanacković, S. Konjik, Lj. Oparnica, D. Zorica, Thermodynamical restrictions and wave propagation for a class of fractional order viscoelastic rods, Abstract and Applied Analysis, 2011 (2011) 975694–1–32.
  22. T. M. Atanackovic, S. Pilipovic, D. Zorica, Distributed-order fractional wave equation on a finite domain. Creep and forced oscillations of a rod, Continuum Mechanics and Thermodynamics, 23 (2011) 305–318.
  23. T. M. Atanackovic, S. Pilipovic, D. Zorica, Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod, International Journal of Engineering Science, 49 (2011) 175–190.
  24. S. Konjik, Lj. Oparnica, D. Zorica, Waves in viscoelastic media described by a linear fractional model, Integral Transforms and Special Functions, 22 (2011) 283–291.
  25. S. Konjik, Lj. Oparnica, D. Zorica, Waves in fractional Zener type viscoelastic media, Journal of Mathematical Analysis and Applications, 365 (2010) 259–268.