Irreducible Orthogonal Decomposition of Tensors of any finite order in dimensions 2 and 3 in Deviatoric Tensors

Description

The goal of this thesis is to understand the deviatoric decomposition of tensors of higher order in 2 and 3 dimensions. In the first chapter an introduction to tensor algebra will be given. Chapter 2 and 3 concentrate on establishing a recursive formula for the deviatoric decomposition in 2D and 3D, respectively. This recursive formula is the key to prove by induction the existense of a deviatoric decomposition for any tensor. Useful examples will also be given at the end of each chapter.:Introduction
1. Introduction to Tensor Algebra
2. Orthogonal Irreducible Decomposition for 2D Tensors
3. Orthogonal Irreducible Decomposition for 3D Tensors
4. Conclusion
Bibliography
5. Declaration of Originality

Links & Downloads

1. urn:nbn:de:bsz:15-qucosa2-805308
2. https://ul.qucosa.de/id/qucosa%3A80530
3. https://ul.qucosa.de/api/qucosa%3A80530/attachment/ATT-0/

Tags

info:eu-repo/classification/ddc/500

ddc:500

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:80530
Date	31 August 2022
Creators	Barz, Anja
Contributors	Scheuermann, Gerik, Rademacher, Hans-Bert, Universität Leipzig
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	info:eu-repo/semantics/updatedVersion, doc-type:masterThesis, info:eu-repo/semantics/masterThesis, doc-type:Text
Rights	info:eu-repo/semantics/openAccess