https://m2.mtmt.hu/ hun 2026-10-24 21:08 JournalArticle 34575282 VALIDATED true 0 false 2026-10-24T06:09:21.206+0000 2026-09-04T07:11:31.290+0000 2024-02-13T07:59:57.765+0000 true 10079148 Takács Donát M. /api/author/10079148 Author Takács Donát M. (termomechanika) true 2026-08-04T12:19:49.533+0000 2026-08-04T12:19:49.533+0000 2025-04-10T15:02:56.354+0000 true 10049401 Fülöp Tamás /api/admin/10049401 Admin Fülöp Tamás (BME GPK admin5) true 10049401 true false true 24 24 /api/publicationtype/24 PublicationType Folyóiratcikk 1 true 24 JournalArticle true 10000059 Article true 24 24 /api/publicationtype/24 PublicationType Folyóiratcikk 1 true 24 JournalArticle /api/subtype/10000059 Szakcikk SubType Szakcikk (Folyóiratcikk) 101 true 10000059 true 1 /api/category/1 Category Tudományos true 1 Takács, Donát M. true true /api/journal/1183 REVIEWED CONTINUUM MECHANICS AND THERMODYNAMICS 0935-1175 1432-0959 true false 1183 false 1183 true 0935-1175 1432-0959 Journal FOREIGN 36 525 538 525 14 2024 Symplectic numerical schemes for reversible dynamical systems predict the solution reliably over large times as well, and are a good starting point for extension to schemes for simulating irreversible situations like viscoelastic wave propagation and heat conduction coupled via thermal expansion occuring in rocks, plastics, biological samples etc. Dissipation error (artificial nonpreservation of energies and amplitudes) of the numerical solution should be as small as possible since it should not be confused with the real dissipation occurring in the irreversible system. In addition, the other well-known numerical artefact, dispersion error (artificial oscillations emerging at sharp changes), should also be minimal to avoid confusion with the true wavy behavior. The continuum thermodynamical aspects (respect for balances with fluxes, systematic constitutive relationships between intensive quantities and fluxes, the second law of thermodynamics with positive definite entropy production, and the spacetime-based kinematic viewpoint) prove valuable for obtaining such extended schemes and for monitoring the solutions. Generalizing earlier works in this direction, here, we establish and investigate such a numerical scheme for one-dimensional viscoelastic wave propagation in the presence of heat conduction coupled via thermal expansion, demonstrating long-term reliability and the applicability of thermodynamics-based quantities in supervising the quality of the solution. Funding 2037607 /api/funding/2037607 (2018-1.1.2-KFI-2018-00207) Támogató: NKFIH false true Funding 2037608 /api/funding/2037608 (FK 134277) Támogató: NKFIH false true Funding 2027499 /api/funding/2027499 (ÚNKP-22-3-I-BME-96) Támogató: NKFIH false true true 2024 true true true false true false GOLD 2026-10-24 true https://doi.org/10.1007/s00161-024-01280-w 10 0 10 4 9 8 9 6 6 7 7 4 4 4 6 0 10 4 10 4 0 10 10 Folyóiratcikk Journal Article 24 9 Könyvrészlet Chapter in Book 25 1 Könyv Book 23 0 Egyéb konferenciaközlemény Conference paper 31 0 Egyéb konferenciakötet Conference proceedings 32 0 Oltalmi formák Protection forms 26 0 Disszertáció Thesis 28 0 Egyéb Miscellaneous 29 0 Alkotás Achievement 22 0 Kutatási adat Research data 33 0 Folyóiratcikk Journal Article 24 0 0 0 Könyvrészlet Chapter in Book 25 0 0 0 Könyv Book 23 0 0 0 Egyéb konferenciaközlemény Conference paper 31 0 0 0 Egyéb konferenciakötet Conference proceedings 32 0 0 0 Oltalmi formák Protection forms 26 0 0 0 Disszertáció Thesis 28 0 0 0 Egyéb Miscellaneous 29 0 0 0 Alkotás Achievement 22 0 0 0 Kutatási adat Research data 33 0 0 0 2023 0 1 1 1 1 2024 0 2 1 2 1 2025 0 6 1 6 1 2026 0 1 1 1 1 Q2 false 10026717 false false false 2024-02-22T13:39:53.555+0000 Energetikai Gépek és Rendszerek Tanszék (BME / GPK) 3 18 1 3 0 true Language 10002 /api/language/10002 Angol Angol English true 2 true PersonAuthorship 106375527 /api/authorship/106375527 Takács, Donát M. [Takács, Donát M. (termomechanika), szerző] Energetikai Gépek és Rendszerek Tanszék (BME / GPK) 1 0.333 true false false Author 10079148 /api/author/10079148 Takács Donát M. (termomechanika) Takács Donát M. true true Takács Donát M. true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PersonAuthorship 106375528 /api/authorship/106375528 Pozsár, Áron [Pozsár, Áron (műszaki termodina...), szerző] Energetikai Gépek és Rendszerek Tanszék (BME / GPK) 2 0.333 false false false Author 10075636 /api/author/10075636 Pozsár Áron (műszaki termodinamika) Pozsár Áron true true Pozsár Áron true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PersonAuthorship 106375529 /api/authorship/106375529 Fülöp, Tamás ✉ [Fülöp, Tamás (fizika, műszaki alk.), szerző] Energetikai Gépek és Rendszerek Tanszék (BME / GPK) 3 0.333 false true true Author 10026717 /api/author/10026717 Fülöp Tamás (fizika, műszaki alk.) Fülöp Tamás true 10026717 true Fülöp Tamás true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PublicationIdentifier 25466253 /api/publicationidentifier/25466253 DOI: 10.1007/s00161-024-01280-w PlainSource 6 /api/publicationsource/6 DOI PublicationSourceType 10001 /api/publicationsourcetype/10001 DOI true true true DOI DOI https://doi.org/@@@ true true 6 true GOLD true IDENTICAL 10.1007/s00161-024-01280-w https://doi.org/10.1007/s00161-024-01280-w false true PublicationIdentifier 25466254 /api/publicationidentifier/25466254 Kiadónál: https://link.springer.com/10.1007/s00161-024-01280-w PlainSource 141 /api/publicationsource/141 Kiadónál PublicationSourceType 10006 /api/publicationsourcetype/10006 Link true true true Kiadónál At publisher @@@ true true 141 true IDENTICAL https://link.springer.com/10.1007/s00161-024-01280-w https://link.springer.com/10.1007/s00161-024-01280-w false true PublicationIdentifier 24506353 /api/publicationidentifier/24506353 Preprint DOI: 10.48550/arXiv.2211.12120 PlainSource 10006 /api/publicationsource/10006 Preprint DOI PublicationSourceType 10006 /api/publicationsourcetype/10006 Link true true true Preprint DOI Preprint DOI https://doi.org/@@@ true true 10006 true IDENTICAL 10.48550/arXiv.2211.12120 https://doi.org/10.48550/arXiv.2211.12120 true true PublicationIdentifier 25632426 /api/publicationidentifier/25632426 WoS: 001159614800001 PlainSource 1 /api/publicationsource/1 WoS PublicationSourceType 10003 /api/publicationsourcetype/10003 Indexelő adatbázis false true true WoS WoS https://www.webofscience.com/wos/woscc/full-record/@@@ true true 1 true IDENTICAL 001159614800001 https://www.webofscience.com/wos/woscc/full-record/001159614800001 false true PublicationIdentifier 25721101 /api/publicationidentifier/25721101 Scopus: 85184917256 PlainSource 3 /api/publicationsource/3 Scopus PublicationSourceType 10003 /api/publicationsourcetype/10003 Indexelő adatbázis false true true Scopus Scopus http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-@@@ true true 3 true IDENTICAL 85184917256 http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85184917256 false true PublicationIdentifier 23562013 /api/publicationidentifier/23562013 Egyéb URL: https://phd.gpk.bme.hu/pub/s/j1183/l9/t3?3001044 PlainSource 40 /api/publicationsource/40 Egyéb URL PublicationSourceType 10006 /api/publicationsourcetype/10006 Link true true true Egyéb URL Other URL @@@ true true 40 true https://phd.gpk.bme.hu/pub/s/j1183/l9/t3?3001044 https://phd.gpk.bme.hu/pub/s/j1183/l9/t3?3001044 false true PublicationIdentifier 22887384 /api/publicationidentifier/22887384 arXiv: arXiv:2211.12120 PlainSource 37 /api/publicationsource/37 arXiv PublicationSourceType 10007 /api/publicationsourcetype/10007 Repozitórium true true true arXiv http://arxiv.org/abs/@@@ true true 37 true IDENTICAL arXiv:2211.12120 http://arxiv.org/abs/arXiv:2211.12120 false true Classification 10807 /api/classification/10807 Műszaki és technológiai tudományok true true SjrRating 11480317 /api/sjrrating/11480317 sjr:Q2 (2024) Scopus - Materials Science (miscellaneous) CONTINUUM MECHANICS AND THERMODYNAMICS 0935-1175 1432-0959 265 0.49 journal RatingType 10002 /api/ratingtype/10002 sjr sjr true true ClassificationExternal 2501 /api/classificationexternal/2501 Scopus - Materials Science (miscellaneous) true 2501 true Q2 DIRECT true true Reference 50042508 /api/reference/50042508 1. Fülöp, T., Kovács, R., Szücs, M., Fawaier, M.: Thermodynamical extension of a symplectic numerical scheme with half space and time shifts demonstrated on rheological waves in solids. Entropy 22(2), 155 (2020). https://doi.org/10.3390/e22020155, DOI: 10.3390/e22020155 1 10.3390/e22020155 false true Reference 50042509 /api/reference/50042509 2. Pozsár, Á., Szücs, M., Kovács, R., Fülöp, T.: Four spacetime dimensional simulation of rheological waves in solids and the merits of thermodynamics. Entropy 22(12), 1376 (2020). https://doi.org/10.3390/e22121376, DOI: 10.3390/e22121376 2 10.3390/e22121376 false true Reference 50042510 /api/reference/50042510 3. Hairer, E., Lubich, C., Wanner, G.: Geometric Numerical Integration. Springer Series in Computational Mathematics, vol. 31, 2nd edn., p. 644. Springer, Berlin (2006) 3 false true Reference 50042511 /api/reference/50042511 4. Fülöp, T.: Wave propagation in rocks—investigating the effect of rheology. Periodica Polytechnica Civ. Eng. 65(1), 26–36 (2021). https://doi.org/10.3311/PPci.16096, DOI: 10.3311/PPci.16096 4 10.3311/PPci.16096 false true Reference 50042512 /api/reference/50042512 5. Davarpanah, S.M., Ván, P., Vásárhelyi, B.: Investigation of the relationship between dynamic and static deformation moduli of rocks. Geomech. Geophys. Geo-Energy Geo-Resour. 6(1), 29 (2020). https://doi.org/10.1007/s40948-020-00155-z, DOI: 10.1007/s40948-020-00155-z 5 10.1007/s40948-020-00155-z false true Reference 50042513 /api/reference/50042513 6. Asszonyi, C., Fülöp, T., Ván, P.: Distinguished rheological models for solids in the framework of a thermodynamical internal variable theory. Continuum Mech. Thermodyn. 27(6), 971–986 (2015). https://doi.org/10.1007/s00161-014-0392-3, DOI: 10.1007/s00161-014-0392-3 6 10.1007/s00161-014-0392-3 false true Reference 50042514 /api/reference/50042514 7. Hetnarski, R.B., Eslami, M.R.: Thermal Stresses–Advanced Theory and Applications. Springer, Dordrecht (2009). https://doi.org/10.1007/978-1-4020-9247-3, DOI: 10.1007/978-1-4020-9247-3 7 10.1007/978-1-4020-9247-3 false true Reference 50042515 /api/reference/50042515 8. Lubarda, V.A.: On thermodynamic potentials in linear thermoelasticity. Int. J. Solids Struct. 41, 7377–7398 (2004). https://doi.org/10.1016/j.ijsolstr.2004.05.070, DOI: 10.1016/j.ijsolstr.2004.05.070 8 10.1016/j.ijsolstr.2004.05.070 false true Reference 50042516 /api/reference/50042516 9. Nowacki, W.: Thermoelasticity. Pergamon Press, Oxford (1986) 9 false true Reference 50042517 /api/reference/50042517 10. Swan, G.: The mechanical properties of Stripa granite. Technical Report LBL-7074, SAC 03, UC-70, Swedish Nuclear Fuel Supply Co.—Lawrence Berkeley Laboratory, Stockholm—Berkeley (1978). https://escholarship.org/uc/item/02r1h3zp 10 false true Reference 50042518 /api/reference/50042518 11. Chan, T., Hood, M., Board, M.: Rock properties and their effect on thermally induced displacements and stresses. J. Energy Res. Technol. 104(4), 384–388 (1982). https://doi.org/10.1115/1.3230433, DOI: 10.1115/1.3230433 11 10.1115/1.3230433 false true Reference 50042519 /api/reference/50042519 12. RockStudy Ltd.: Rheological properties of rocks, Pécs, Hungary. Research Report (2022) 12 false true Reference 50042520 /api/reference/50042520 13. Goodfellow: Polyamide - Nylon 6 - Rod. Goodfellow. https://www.goodfellow.com/uk/en-gb/displayitemdetails/p/am30-rd-000105/polyamide-nylon-6-rod. Retrieved 12 Feb 2022 13 false true Reference 50042521 /api/reference/50042521 14. Asszonyi, C., Csatár, A., Fülöp, T.: Elastic, thermal expansion, plastic and rheological processes—theory and experiment. Periodica Polytechnica Civ. Eng. 60(4), 591–601 (2016). https://doi.org/10.3311/PPci.8628, DOI: 10.3311/PPci.8628 14 10.3311/PPci.8628 false true Reference 50042522 /api/reference/50042522 15. Love, E., Rider, W.J.: On the convergence of finite difference methods for PDE under temporal refinement. Comput. Math. Appl. 66(1), 33–40 (2013). https://doi.org/10.1016/j.camwa.2013.04.019, DOI: 10.1016/j.camwa.2013.04.019 15 10.1016/j.camwa.2013.04.019 false true Reference 50042523 /api/reference/50042523 16. Pozsár, A.: Wave propagation in viscoelastic solid media—thermodynamically consistent finite difference numerical investigations. MSc thesis, Budapest University of Technology and Economics, Budapest, Hungary (2021) 16 false true Reference 50042524 /api/reference/50042524 17. Huang, Y., Oterkus, S., Hou, H., Oterkus, E., Wei, Z., Zhang, S.: Peridynamic model for visco-hyperelastic material deformation in different strain rates. Continuum Mech. Thermodyn. 34, 977–1011 (2022). https://doi.org/10.1007/s00161-019-00849-0, DOI: 10.1007/s00161-019-00849-0 17 10.1007/s00161-019-00849-0 false true Reference 50042525 /api/reference/50042525 18. Fülöp, T., Ván, P.: Kinematic quantities of finite elastic and plastic deformation. Math. Methods Appl. Sci. 35(15), 1825–1841 (2012). https://doi.org/10.1002/mma.2558. E-print version: arXiv:1007.2892, DOI: 10.1002/mma.2558 18 10.1002/mma.2558 false true Reference 50042526 /api/reference/50042526 19. Shomali, Z., Kovács, R., Ván, P., Kudinov, I.V., Ghazanfarian, J.: Lagging heat models in thermodynamics and bioheat transfer: a critical review. Continuum Mech. Thermodyn. 34, 637–679 (2022). https://doi.org/10.1007/s00161-022-01096-6, DOI: 10.1007/s00161-022-01096-6 19 10.1007/s00161-022-01096-6 false true Reference 50042527 /api/reference/50042527 20. Rieth, Á., Kovács, R., Fülöp, T.: Implicit numerical schemes for generalized heat conduction equations. Int. J. Heat Mass Transf. 126, 1177–1182 (2018). https://doi.org/10.1016/j.ijheatmasstransfer.2018.06.067, DOI: 10.1016/j.ijheatmasstransfer.2018.06.067 20 10.1016/j.ijheatmasstransfer.2018.06.067 false true Reference 50042528 /api/reference/50042528 21. Kovács, R., Rogolino, P.: Numerical treatment of nonlinear Fourier and Maxwell–Cattaneo–Vernotte heat transport equations. Int. J. Heat Mass Transf. 150, 119281 (2020). https://doi.org/10.1016/j.ijheatmasstransfer.2019.119281, DOI: 10.1016/j.ijheatmasstransfer.2019.119281 21 10.1016/j.ijheatmasstransfer.2019.119281 false true /api/publication/34575282 Takács Donát M. et al. Thermodynamically extended symplectic numerical simulation of viscoelastic, thermal expansion and heat conduction phenomena in solids. (2024) CONTINUUM MECHANICS AND THERMODYNAMICS 0935-1175 1432-0959 36 525-538<div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10079148"><a href="/gui2/?type=authors&mode=browse&sel=10079148" target="_blank">Takács Donát M. (<span class="authorship-author-name">Takács Donát M.</span> <span class="authorAux-mtmt"> termomechanika</span>) </a> </span> <span class="author-affil"><span title="Budapesti Műszaki és Gazdaságtudományi Egyetem">BME</span>/<span title="Gépészmérnöki Kar">GPK</span>/Energetikai Gépek és Rendszerek Tanszék</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10075636"><a href="/gui2/?type=authors&mode=browse&sel=10075636" target="_blank">Pozsár Áron (<span class="authorship-author-name">Pozsár Áron</span> <span class="authorAux-mtmt"> műszaki termodinamika</span>) </a> </span> <span class="author-affil"><span title="Budapesti Műszaki és Gazdaságtudományi Egyetem">BME</span>/<span title="Gépészmérnöki Kar">GPK</span>/Energetikai Gépek és Rendszerek Tanszék</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10026717"><a href="/gui2/?type=authors&mode=browse&sel=10026717" target="_blank">Fülöp Tamás ✉ (<span class="authorship-author-name">Fülöp Tamás</span> <span class="authorAux-mtmt"> fizika, műszaki alk.</span>) </a> </span> <span class="author-affil"><span title="Budapesti Műszaki és Gazdaságtudományi Egyetem">BME</span>/<span title="Gépészmérnöki Kar">GPK</span>/Energetikai Gépek és Rendszerek Tanszék</span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;34575282" target="_blank">Thermodynamically extended symplectic numerical simulation of viscoelastic, thermal expansion and heat conduction phenomena in solids</a></div> <div> <span class="journal-title">CONTINUUM MECHANICS AND THERMODYNAMICS</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0935-1175">0935-1175</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1432-0959">1432-0959</a>)</span>: <span class="journal-volume">36</span> <span class="page"> pp 525-538 </span> <span class="year">(2024)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_GOLD" title=" Gold "> <a style="color:blue" title="10.1007/s00161-024-01280-w" target="_blank" href="https://doi.org/10.1007/s00161-024-01280-w"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="https://link.springer.com/10.1007/s00161-024-01280-w" target="_blank" href="https://link.springer.com/10.1007/s00161-024-01280-w"> Kiadónál </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.48550/arXiv.2211.12120" target="_blank" href="https://doi.org/10.48550/arXiv.2211.12120"> Preprint DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="001159614800001" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/001159614800001"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="85184917256" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85184917256"> Scopus </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="https://phd.gpk.bme.hu/pub/s/j1183/l9/t3?3001044" target="_blank" href="https://phd.gpk.bme.hu/pub/s/j1183/l9/t3?3001044"> Egyéb URL </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="arXiv:2211.12120" target="_blank" href="http://arxiv.org/abs/arXiv:2211.12120"> arXiv </a> </span> </span> <OnlyViewableByAuthor><div class="ratings"> <div class="journal-subject">Folyóirat szakterülete: Scopus - Materials Science (miscellaneous)&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q2</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Mechanics of Materials&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q2</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Physics and Astronomy (miscellaneous)&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q2</div> </div></OnlyViewableByAuthor> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="Nyilvános idézőközlemények összesen, említések nélkül" class="citingPub-count">Nyilvános idéző összesen: 10</span> | Független: 4 | Függő: 6 | Nem jelölt: 0 | WoS jelölt: 6 | Scopus jelölt:&nbsp;6 | WoS/Scopus jelölt:&nbsp;7 | DOI jelölt:&nbsp;9 </div> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;34575282&sort=publishedYear,desc&sort=title"> Idézett közlemények száma: 10 </a> </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 34575282</span> | <span class="status-data status-VALIDATED"> Egyeztetett </span> Forrás Idéző | <span class="type-subtype">Folyóiratcikk ( Szakcikk ) </span> | <span class="pub-category">Tudományos</span> | <span class="publication-sourceOfData">kézi felvitel</span> </div> <div class="funder"> (2018-1.1.2-KFI-2018-00207) Támogató: NKFIH, (FK 134277) Támogató: NKFIH, (ÚNKP-22-3-I-BME-96) Támogató: NKFIH </div> <div class="notDuplums"><a target="_blank" href="/api/publication/34575282/notduplums">1 Nem duplumnak jelölés</a> </div> <div class="lastModified">Utolsó módosítás: 2026.09.04. 09:11 Tomcsik Adrienn (Wigner admin5) </div> </div></div>