{"id":29,"date":"2020-01-14T11:48:24","date_gmt":"2020-01-14T11:48:24","guid":{"rendered":"http:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/?page_id=29"},"modified":"2025-10-15T08:38:27","modified_gmt":"2025-10-15T08:38:27","slug":"wave-propagation-and-viscoelastic-materials-modelling","status":"publish","type":"page","link":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wave-propagation-and-viscoelastic-materials-modelling\/","title":{"rendered":"Wave propagation and viscoelastic materials modelling"},"content":{"rendered":"\n<ol class=\"wp-block-list\">\n<li>Jeli\u0107, D. Zorica, Compressive and shear wave propagation in viscoelastic solid medium as a consequence of prescribed initial displacement fields, Wave Motion 140 (2026) 103651\u20131\u201334.<\/li>\n\n\n\n<li>S. Jeli\u0107, D. Zorica, Wave propagation in three-dimensional fractional viscoelastic infinite solid body, Physica D: Nonlinear Phenomena, 464 (2024) 134185\u20131\u201330.<\/li>\n\n\n\n<li>S. Jeli\u0107, D. Zorica, Stress and power as a response to harmonic excitation of a fractional anti-Zener and Zener type viscoelastic body, Zeitschrift f\u00fcr Angewandte Mathematik und Mechanik, 104 (2024) e202300968\u20131\u201333.<\/li>\n\n\n\n<li>S. Jeli\u0107, 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\u2013728.<\/li>\n\n\n\n<li>S. Jeli\u0107, D. Zorica, Fractionalization of anti-Zener and Zener models via rheological analogy, Acta Mechanica, 234 (2023) 313\u2013354.<\/li>\n\n\n\n<li>S. Jeli\u0107, D. Zorica, Fractional Burgers wave equation on a finite domain, Chaos, Solitons and Fractals, 154 (2022) 111632\u20131\u201326.<\/li>\n\n\n\n<li>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\u20131\u201324.<\/li>\n\n\n\n<li>A. Okuka, D. Zorica, Fractional Burgers models in creep and stress relaxation tests, Applied Mathematical Modelling, 77 (2020) 1894\u20131935. <\/li>\n\n\n\n<li>D. Zorica, Hereditariness and non-locality in wave propagation modelling, Theoretical and Applied Mechanics, 47 (2020) 19\u201331.<\/li>\n\n\n\n<li>Lj. Oparnica, D. Zorica, A. Okuka, Fractional Burgers wave equation, Acta Mechanica, 230 (2019) 4321\u20134340. <\/li>\n\n\n\n<li>S. Konjik, Lj. Oparnica, D. Zorica, Distributed order fractional constitutive stress-strain relation in wave propagation modeling, Zeitschrift f\u00fcr Angewandte Mathematik und Physik, 70 (2019) 51\u20131\u201321. <\/li>\n\n\n\n<li>G. H\u00f6rmann, Lj. Oparnica, D. Zorica, Solvability and microlocal analysis of the fractional Eringen wave equation, Mathematics and Mechanics of Solids, 23 (2018) 1420\u20131430. <\/li>\n\n\n\n<li>A. Okuka, D. Zorica, Formulation of thermodynamically consistent fractional Burgers models, Acta Mechanica, 229 (2018) 3557\u20133570. <\/li>\n\n\n\n<li>Y. Bouras, D. Zorica, T. M. Atanackovi\u0107, 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\u2013568. <\/li>\n\n\n\n<li>D. Zorica, M. \u017digi\u0107, N. Grahovac, Viscoelastic body colliding against a rigid wall with and without dry friction effects, Applied Mathematical Modelling, 45 (2017) 365\u2013382. <\/li>\n\n\n\n<li>G. H\u00f6rmann, Lj. Oparnica, D. Zorica, Microlocal analysis of fractional wave equations, Zeitschrift f\u00fcr Angewandte Mathematik und Mechanik, 97 (2017) 217\u2013225.<\/li>\n\n\n\n<li>T. M. Atanackovic, S. Konjik, S. Pilipovic, D. Zorica, Complex order fractional derivatives in viscoelasticity, Mechanics of Time-Dependent Materials, 20 (2016) 175\u2013195. <\/li>\n\n\n\n<li>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\u20131\u201325. <\/li>\n\n\n\n<li>T. M. Atanackovic, S. Pilipovic, D. Zorica, An initial value problem arising in mechanics, Archive of Applied Mechanics, 84 (2014) 219\u2013233. <\/li>\n\n\n\n<li>N. Challamel, D. Zorica, T. M. Atanackovic, D. T. Spasic, On the fractional generalization of Eringen\u2019s nonlocal elasticity for wave propagation, Comptes Rendus de M\u00e9canique, 341 (2013) 298\u2013303. <\/li>\n\n\n\n<li>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\u201365. <\/li>\n\n\n\n<li>T. M. Atanackovi\u0107, 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\u20131\u201332. <\/li>\n\n\n\n<li>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\u2013318. <\/li>\n\n\n\n<li>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\u2013190. <\/li>\n\n\n\n<li>S. Konjik, Lj. Oparnica, D. Zorica, Waves in viscoelastic media described by a linear fractional model, Integral Transforms and Special Functions, 22 (2011) 283\u2013291. <\/li>\n\n\n\n<li>S. Konjik, Lj. Oparnica, D. Zorica, Waves in fractional Zener type viscoelastic media, Journal of Mathematical Analysis and Applications, 365 (2010) 259\u2013268. <\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":63,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"full-width-page.php","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-29","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/pages\/29","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/users\/63"}],"replies":[{"embeddable":true,"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/comments?post=29"}],"version-history":[{"count":18,"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/pages\/29\/revisions"}],"predecessor-version":[{"id":308,"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/pages\/29\/revisions\/308"}],"wp:attachment":[{"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/media?parent=29"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}