Tensory a jejich aplikace v mechanice
| but.committee | prof. RNDr. Josef Šlapal, CSc. (předseda) prof. RNDr. Miloslav Druckmüller, CSc. (místopředseda) doc. Ing. Luděk Nechvátal, Ph.D. (člen) doc. RNDr. Jiří Tomáš, Dr. (člen) prof. Mgr. Pavel Řehák, Ph.D. (člen) Prof. Bruno Rubino (člen) Assoc. Prof. Matteo Colangeli (člen) Assoc. Prof. Massimiliano Giuli (člen) | cs |
| but.defence | Student 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.jazyk | angličtina (English) | |
| but.program | Aplikované vědy v inženýrství | cs |
| but.result | práce byla úspěšně obhájena | cs |
| dc.contributor.advisor | Tomáš, Jiří | en |
| dc.contributor.author | Adejumobi, Mudathir | en |
| dc.contributor.referee | Doupovec, Miroslav | en |
| dc.date.created | 2020 | cs |
| dc.description.abstract | The 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.abstract | The 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.description.mark | D | cs |
| dc.identifier.citation | ADEJUMOBI, M. Tensory a jejich aplikace v mechanice [online]. Brno: Vysoké učení technické v Brně. Fakulta strojního inženýrství. 2020. | cs |
| dc.identifier.other | 124597 | cs |
| dc.identifier.uri | http://hdl.handle.net/11012/192330 | |
| dc.language.iso | en | cs |
| dc.publisher | Vysoké učení technické v Brně. Fakulta strojního inženýrství | cs |
| dc.rights | Standardní licenční smlouva - přístup k plnému textu bez omezení | cs |
| dc.subject | Tensors | en |
| dc.subject | Manifolds | en |
| dc.subject | Differential manifolds | en |
| dc.subject | Configuration and deformation | en |
| dc.subject | Tensor deformation | en |
| dc.subject | Continuum kinematics | en |
| dc.subject | Gauss theorem | en |
| dc.subject | Stokes' theorem | en |
| dc.subject | Surface forces and stress | en |
| dc.subject | Tensors | cs |
| dc.subject | Manifolds | cs |
| dc.subject | Differential manifolds | cs |
| dc.subject | Configuration and deformation | cs |
| dc.subject | Tensor deformation | cs |
| dc.subject | Continuum kinematics | cs |
| dc.subject | Gauss theorem | cs |
| dc.subject | Stokes' theorem | cs |
| dc.subject | Surface forces and stress | cs |
| dc.title | Tensory a jejich aplikace v mechanice | en |
| dc.title.alternative | Tensors and their applications in mechanics | cs |
| dc.type | Text | cs |
| dc.type.driver | masterThesis | en |
| dc.type.evskp | diplomová práce | cs |
| dcterms.dateAccepted | 2020-07-16 | cs |
| dcterms.modified | 2020-10-01-10:54:33 | cs |
| eprints.affiliatedInstitution.faculty | Fakulta strojního inženýrství | cs |
| sync.item.dbid | 124597 | en |
| sync.item.dbtype | ZP | en |
| sync.item.insts | 2025.03.27 08:52:12 | en |
| sync.item.modts | 2025.01.15 17:15:04 | en |
| thesis.discipline | Matematické inženýrství | cs |
| thesis.grantor | Vysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematiky | cs |
| thesis.level | Inženýrský | cs |
| thesis.name | Ing. | cs |