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Tensors and their applications in mechanics

dc.contributor.advisorTomáš, Jiříen
dc.contributor.authorAdejumobi, Mudathiren
dc.date.accessioned2020-07-20T18:58:48Z
dc.date.available2020-07-20T18:58:48Z
dc.date.created2020cs
dc.identifier.citationADEJUMOBI, M. Tensory a jejich aplikace v mechanice [online]. Brno: Vysoké učení technické v Brně. Fakulta strojního inženýrství. 2020.cs
dc.identifier.other124597cs
dc.identifier.urihttp://hdl.handle.net/11012/192330
dc.description.abstractThe tensor theory is a branch of Multilinear Algebra that describes the relationship between sets of algebraic objects related to a vector space. Tensor theory together with tensor analysis is usually known to be tensor calculus. This thesis presents a formal category treatment on tensor notation, tensor calculus, and differential manifold. The focus lies mainly on acquiring and understanding the basic concepts of tensors and the operations over them. It looks at how tensor is adapted to differential geometry and continuum mechanics. In particular, it focuses more attention on the application parts of mechanics such as; configuration and deformation, tensor deformation, continuum kinematics, Gauss, and Stokes' theorem with their applications. Finally, it discusses the concept of surface forces and stress vector.en
dc.description.abstractThe tensor theory is a branch of Multilinear Algebra that describes the relationship between sets of algebraic objects related to a vector space. Tensor theory together with tensor analysis is usually known to be tensor calculus. This thesis presents a formal category treatment on tensor notation, tensor calculus, and differential manifold. The focus lies mainly on acquiring and understanding the basic concepts of tensors and the operations over them. It looks at how tensor is adapted to differential geometry and continuum mechanics. In particular, it focuses more attention on the application parts of mechanics such as; configuration and deformation, tensor deformation, continuum kinematics, Gauss, and Stokes' theorem with their applications. Finally, it discusses the concept of surface forces and stress vector.cs
dc.language.isoencs
dc.publisherVysoké učení technické v Brně. Fakulta strojního inženýrstvícs
dc.rightsStandardní licenční smlouva - přístup k plnému textu bez omezenícs
dc.subjectTensorsen
dc.subjectManifoldsen
dc.subjectDifferential manifoldsen
dc.subjectConfiguration and deformationen
dc.subjectTensor deformationen
dc.subjectContinuum kinematicsen
dc.subjectGauss theoremen
dc.subjectStokes' theoremen
dc.subjectSurface forces and stressen
dc.subjectTensorscs
dc.subjectManifoldscs
dc.subjectDifferential manifoldscs
dc.subjectConfiguration and deformationcs
dc.subjectTensor deformationcs
dc.subjectContinuum kinematicscs
dc.subjectGauss theoremcs
dc.subjectStokes' theoremcs
dc.subjectSurface forces and stresscs
dc.titleTensory a jejich aplikace v mechaniceen
dc.title.alternativeTensors and their applications in mechanicscs
dc.typeTextcs
dcterms.dateAccepted2020-07-16cs
dcterms.modified2020-07-16-14:29:38cs
thesis.disciplineMatematické inženýrstvícs
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
thesis.levelInženýrskýcs
thesis.nameIng.cs
sync.item.dbid124597en
sync.item.dbtypeZPen
sync.item.insts2020.07.20 20:58:48en
sync.item.modts2020.07.17 08:13:37en
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
dc.contributor.refereeDoupovec, Miroslaven
dc.description.markDcs
dc.type.drivermasterThesisen
dc.type.evskpdiplomová prácecs
but.committeeprof. RNDr. Josef Šlapal, CSc. (předseda) prof. RNDr. Miloslav Druckmüller, CSc. (místopředseda) doc. Ing. Luděk Nechvátal, Ph.D. (člen) doc. RNDr. Jiří Tomáš, Dr. (člen) doc. Mgr. Pavel Řehák, Ph.D. (člen) Prof. Bruno Rubino (člen) Assoc. Prof. Matteo Colangeli (člen) Assoc. Prof. Massimiliano Giuli (člen)cs
but.defenceStudent introduced his diploma thesis Tensors and their applications in mechanics to the committee and explained the fundaments of this topic. There was no question in the reviewer's report. Student answered another questions from prof. Šlapal, doc. Tomáš and assoc. prof. Massimiliano Giuli.cs
but.resultpráce byla úspěšně obhájenacs
but.programAplikované vědy v inženýrstvícs
but.jazykangličtina (English)


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