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Study of size effect in Titanium Aluminide with the weakest link Weibull model

Grigorjevs, Pavels (2018) Study of size effect in Titanium Aluminide with the weakest link Weibull model. Master's. DLR-Interner Bericht. DLR-IB-SG-AX-2018-252, 13 S. (Unpublished)

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Abstract

In this work quantitative analysis of the weakest link Weibull model for studying size effect phenomena in $\gamma$-Titanium Aluminide (TiAl) alloys is made. This quasi-brittle material is very attractive for industry because of its mechanical properties like specific strength and oxidation resistance, which makes this material attractive for gas turbine applications. The goal of this work is to compare different weakest link theories and find the value of Weibull modulus from the experimental data of size effect of TiAl alloys. To calculate Weibull modulus, two methods are used - Least Squares Estimation (LSE) and Maximum likelihood Estimation (MLE), which are different in their mathematical formulation. In this work, we review four theories based on weakest link Weibull model, of which three were implemented and tested in MATLAB. We make quantitative comparisons of the predictive capabilities of three methods using the available experimental data.

Item URL in elib:https://elib.dlr.de/125554/
Document Type:Monograph (DLR-Interner Bericht, Master's)
Title:Study of size effect in Titanium Aluminide with the weakest link Weibull model
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Grigorjevs, PavelsUNSPECIFIEDUNSPECIFIED
Date:21 December 2018
Refereed publication:No
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Number of Pages:13
Status:Unpublished
Keywords:Size effect, Failure probability, Titanium Aluminide
Institution:Deutsches Zentrum für Luft- und Raumfahrt
Department:Institut für Test und Simulation für Gasturbinen
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:propulsion systems
DLR - Research area:Aeronautics
DLR - Program:L ER - Engine Research
DLR - Research theme (Project):L - Virtual Engine and Validation methods (old)
Location: Augsburg
Institutes and Institutions:Institute of Test and Simulation for Gas Turbines
Deposited By: Raina, Dr.-Ing. Arun
Deposited On:09 Jan 2020 09:08