Damage behaviour of quasi-brittle composites: mathematical and computational aspects

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dc.contributor.authorVala, Jiřícs
dc.contributor.authorTomáš, Jiřícs
dc.coverage.issue8cs
dc.coverage.volume15cs
dc.date.accessioned2025-05-27T08:56:05Z
dc.date.available2025-05-27T08:56:05Z
dc.date.issued2025-04-11cs
dc.description.abstractIn the present paper, an evaluation of the damage behaviour of quasi-brittle composites exposed to mechanical, thermal, and other loads is studied by means of viscoelastic and/or viscoplastic material models, applying some non-local regularisation techniques to the initiation and development of damages. The methods above are presented as a strong tool for a deeper understanding of material structures in miscellaneous engineering disciplines like civil, mechanical, and many others. Nevertheless, all of the software packages reflect certain compromises between the need for effective computational tools, with parameters obtained from inexpensive experiments, within the possibilities and the complexity of both physical and geometrical descriptions of structure deformation within processes. The article is devoted to the mathematical aspects regarding a considerably wide class of computational modelling problems, emphasising the following ones: (i) the existence and the uniqueness of solutions of engineering problems formulated in terms of the deterministic initial and boundary value problems of partial differential equations theory; (ii) the problems of convergence of computational algorithms applied to (i). Both aspects have numerous references to possible generalisations and investigations connected with open problems.en
dc.formattextcs
dc.format.extent1-21cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationApplied Sciences - Basel. 2025, vol. 15, issue 8, p. 1-21.en
dc.identifier.doi10.3390/app15084214cs
dc.identifier.issn2076-3417cs
dc.identifier.orcid0000-0003-4837-9622cs
dc.identifier.orcid0000-0001-6381-7948cs
dc.identifier.other197646cs
dc.identifier.researcheridG-2364-2019cs
dc.identifier.scopus57202622116cs
dc.identifier.urihttps://hdl.handle.net/11012/251052
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofApplied Sciences - Baselcs
dc.relation.urihttps://www.mdpi.com/2076-3417/15/8/4214cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2076-3417/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectquasi-brittle compositesen
dc.subjectdamage evolutionen
dc.subjectcomputational modellingen
dc.titleDamage behaviour of quasi-brittle composites: mathematical and computational aspectsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-197646en
sync.item.dbtypeVAVen
sync.item.insts2025.05.27 10:56:05en
sync.item.modts2025.05.27 10:33:29en
thesis.grantorVysoké učení technické v Brně. Fakulta stavební. Ústav matematiky a deskriptivní geometriecs
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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