Original title: Tensory a jejich aplikace v mechanice
Translated title: Tensors and their applications in mechanics
Authors: Adejumobi, Mudathir ; Doupovec, Miroslav (referee) ; Tomáš, Jiří (advisor)
Document type: Master’s theses
Year: 2020
Language: eng
Publisher: Vysoké učení technické v Brně. Fakulta strojního inženýrství
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.
Keywords: Configuration and deformation; Continuum kinematics; Differential manifolds; Gauss theorem; Manifolds; Stokes' theorem; Surface forces and stress; Tensor deformation; Tensors; Configuration and deformation; Continuum kinematics; Differential manifolds; Gauss theorem; Manifolds; Stokes' theorem; Surface forces and stress; Tensor deformation; Tensors

Institution: Brno University of Technology (web)
Document availability information: Fulltext is available in the Brno University of Technology Digital Library.
Original record: http://hdl.handle.net/11012/192330

Permalink: http://www.nusl.cz/ntk/nusl-417101


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Universities and colleges > Public universities > Brno University of Technology
Academic theses (ETDs) > Master’s theses