- AutorIn
- Diplom-Mathematikerin Anja Barz
- Titel
- Irreducible Orthogonal Decomposition of Tensors of any finite order in dimensions 2 and 3 in Deviatoric Tensors
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:15-qucosa2-805308
- Datum der Einreichung
- 03.01.2022
- Abstract (EN)
- 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.
- Freie Schlagwörter (DE)
- tensor, higher order, deviatoric decomposition, recursive formula
- Klassifikation (DDC)
- 500
- GutachterIn
- Professor Hans-Bert Rademacher
- BetreuerIn Hochschule / Universität
- Professor Gerik Scheuermann
- Den akademischen Grad verleihende / prüfende Institution
- Universität Leipzig, Leipzig
- Version / Begutachtungsstatus
- aktualisierte Version
- URN Qucosa
- urn:nbn:de:bsz:15-qucosa2-805308
- Veröffentlichungsdatum Qucosa
- 31.08.2022
- Dokumenttyp
- Diplomarbeit
- Sprache des Dokumentes
- Englisch
- Lizenz / Rechtehinweis
- CC BY-ND 4.0
- Inhaltsverzeichnis
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