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/Author (Achal H P)
/Title (MTech Thesis)
/Subject (CP Modeling of Discrete Twin Evolution in HCP Metals)
}
\begin{document}
\begin{titlepage}
\centering
{\huge\bfseries Crystal Plasticity Modeling of Discrete Twin Evolution in Hexagonal Closed Packed Metals\par}
\vspace{2cm}
{\large A thesis submitted in partial fulfillment of \\ the requirements for the degree of \par}
\vspace{0.5cm}
{\large \bf Master of Technology}\\
\vspace{0.5cm}
{\large by }\\
\vspace{1cm}
{\large \bf Achal H. P.} \\
{\large \bf (Roll No. ME22MT011)} \\
\vspace{1.5cm}
{\large Under the Supervision of} \\
{\large \bf Professor Satyapriya Gupta \par}
\vfill
\includegraphics[width=6.5cm]{images/IIT Dh Logo.png}\\[\baselineskip]
\vfill
{\large \uppercase{Department of Mechanical, Materials, \\ and Aerospace Engineering}\par}
\vspace{0.25cm}
{\scshape\LARGE indian institute of technology dharwad\par}
\vspace{0.5cm}
{\large May 2024}
\end{titlepage}
\pagenumbering{roman}
\newpage
\cleardoublepage
\thispagestyle{empty}
\begin{center}
\vspace*{\stretch{1}}
{Dedicated to my grandmothers Subbalakshmi and Devakiamma.\par}
\vspace{1cm}
\includegraphics[width=3cm]{images/Hibiscus.png}
\vspace*{\stretch{1}}
\end{center}
\input{acknowledgements}
\newpage
\cleardoublepage
\thispagestyle{empty}
\begin{center}
{\LARGE \bf Thesis Approval}\\
\vspace{1.5cm}
{\large The thesis entitled}\\
{\huge\bfseries Crystal Plasticity Modeling of Discrete Twin Evolution in Hexagonal Closed Packed Metals\par}
\vspace{0.4cm}
{\large by}\\
\vspace{0.4cm}
{\Large \bf Achal H. P.}\\
\vspace{2mm}
{\large (Roll No. ME22MT011)}\\
\vspace{0.3cm}
{\large is approved for the degree of}\\
\vspace{0.5cm}
{\Large \bf Master of Technology}\\
\vspace{0.3cm}
{\large from the}\\
\vspace{0.3cm}
{\Large \bf Indian Institute of Technology Dharwad}\\
\vspace{2cm}
\begin{tabular}{ccc}
\rule{6.5cm}{1sp} &\rule{10mm}{0pt}& \rule{6.5cm}{1sp} \\ \vspace{-0.4cm} \\
{\Large \textbf{Prof. Somashekara M. A.}} && {\Large \textbf{Prof. Amlan Barua}} \\ \vspace{-0.2cm} \\
{\large Chairperson} && {\large External Examiner} \\ \vspace{1.5cm} \\
\rule{6.5cm}{1sp} && \rule{6.5cm}{1sp} \\ \vspace{-0.4cm} \\
{\Large \textbf{Prof. Tejas P. Gotkhindi}} && {\Large \textbf{Prof. Satyapriya Gupta}} \\ \vspace{-0.2cm} \\
{\large Internal Examiner} && {\large Supervisor} \\ \vspace{2cm} \\
\end{tabular}
{\raggedright \Large Date: 20 May 2024} \\ \vspace{0.5cm}
{\Large Place: Dharwad}
\end{center}
\input{declaration}
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\tableofcontents
%\chapter*{Nomenclature}
%\addcontentsline{toc}{chapter}{Nomenclature}
\listoffigures
\addcontentsline{toc}{chapter}{List of figures}
\listoftables
\addcontentsline{toc}{chapter}{List of tables}
%\chapter*{List of Symbols}
%\addcontentsline{toc}{chapter}{List of Symbols}
\chapter{Introduction}
\pagenumbering{arabic}
\input{chapter1}
\chapter{Literature Review.}
\input{chapter2}
\chapter{Development of the Discrete Twinning constitutive model.}
\input{chapter_model_development}
\chapter{Model Study.}
\input{chapter_model_study}
%\chapter{Conclusions and discussions.}
%input{}
\chapter{Conclusions and Future Scope.}
\input{Chapter_Future_scope}
\appendix
\chapter{Continuum Mechanics.}
\label{Appendix:Continuum_mechanics}
\input{Appendix_Continuum_Mechanics}
\chapter{Implementation of correspondence matrix in DAMASK.}
\label{Appendix:Correspondence_matrix}
\input{Appendix_Correspondence_Matrix}
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\chapter{DAMASK Source Code Installation.}
\label{Appendix:DAMASK_source_code_compilation}
\input{Appendix_DAMASK_installation}
\bibliographystyle{IEEEtran}
\bibliography{references}
\end{document}

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,
abstract = { The crystallographic characteristics of deformation twinning are derived by considering the atomic movements which occur at the moving interface as a twin propagates. This is facilitated by making use of the notation of the tensor calculus, and general expressions, valid for all crystal structures, are obtained giving the magnitude of the twinning shear and relating the twinning elements for both type I and type II twinning. The atomic shuffles, which in general must accompany the twinning shear in both single and multiple lattice structures, are examined in detail and expressions are derived for their magnitudes and directions for the cases of the four classical orientation relationships associated with deformation twinning. The use of these expressions in predicting operative twinning modes is described and the relations between this theory and other recent theories of the crystallography of deformation twinning are discussed. }
}
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title={PETSc Users Manual (Rev. 3.13)},
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type = {Article}
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author = {Hong Qin and John J. Jonas and Hongbing Yu and Nicolas Brodusch and Raynald Gauvin and Xiyan Zhang},
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author = {I.J. Beyerlein and R.J. McCabe and C.N. Tomé},
keywords = {Twinning, Nucleation, Statistics, Magnesium, hcp}}
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author = {Author's Name},
title = {Title of the Web Page},
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howpublished = {\url{URL of the Web Page}},
note = {Accessed on: Date of Access}
}
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AUTHOR = {Tan, Jovan and Ramakrishna, Seeram},
TITLE = {Applications of Magnesium and Its Alloys: A Review},
JOURNAL = {Applied Sciences},
VOLUME = {11},
YEAR = {2021},
NUMBER = {15},
ARTICLE-NUMBER = {6861},
URL = {https://www.mdpi.com/2076-3417/11/15/6861},
ISSN = {2076-3417},
DOI = {10.3390/app11156861}
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title = {{James Webb Space Telescope optical telescope element mirror development history and results}},
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editor = {Mark C. Clampin and Giovanni G. Fazio and Howard A. MacEwen and Jacobus M. Oschmann Jr.},
organization = {International Society for Optics and Photonics},
publisher = {SPIE},
pages = {84422B},
keywords = {JWST, Mirrors, OTE, Telescope, Space},
year = {2012},
doi = {10.1117/12.924271},
URL = {https://doi.org/10.1117/12.924271}
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number = {AC07-99ID-13727},
address = {San Diego, CA (United States)},
month = {November},
organization = {Idaho National Laboratory INL (United States)},
publisher = {OSTI},
note = {Additional Information},
url = {https://www.osti.gov/biblio/910826},
abstractNote = {Beryllium, due to its unique combination of structural, chemical, atomic number, and neutron absorption cross section characteristics, has been used successfully as a neutron reflector for three generations of nuclear test reactors at the Idaho National Engineering and Environmental Laboratory (INEEL). The Advanced Test Reactor (ATR), the largest test reactor in the world, has utilized five successive beryllium neutron reflectors and is scheduled for continued operation with a sixth beryllium reflector. A high radiation environment in a test reactor produces radiation damage and other changes in beryllium. These changes necessitate safety analysis of the beryllium, methods to predict performance, and appropriate surveillances. Other nuclear applications also utilize beryllium. Beryllium, given its unique atomic, physical, and chemical characteristics, is widely used as a “window” for x-rays and gamma rays. Beryllium, intimately mixed with high-energy alpha radiation emitters has been successfully used to produce neutron sources. This paper addresses operational experience and methodologies associated with the use of beryllium in nuclear test reactors and in “windows” for x-rays and gamma rays. Other nuclear applications utilizing beryllium are also discussed.},
}
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author={Roters, Franz},
year={2011},
school={Aachen, Techn. Hochsch., Habil.-Schr., 2011}
}
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year = {2002},
isbn = {978-0-08-044019-4},
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author = {J.W. CHRISTIAN}
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type = {Article},
publication_stage = {Final},
source = {Scopus},
note = {Cited by: 1657}
}
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year={2011},
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pages = {462-483},
number = {4}
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number = {18},
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issn = {1359-6454},
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url = {https://www.sciencedirect.com/science/article/pii/S1359645406004502},
author = {S.R. Agnew and D.W. Brown and C.N. Tomé},
keywords = {Magnesium, Texture, Plasticity, Neutron scattering, ECAP}}
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author = {F. Wang and S. Sandlöbes and M. Diehl and L. Sharma and F. Roters and D. Raabe},
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title={High-intensity radiation from beryllium-window X-ray tubes},
author={Rogers, TH},
journal={Radiology},
volume={48},
number={6},
pages={594--603},
year={1947},
publisher={The Radiological Society of North America}
}