Five Degrees of Freedom of Grain Boundary
Variables that define a grain boundary. xA; yA; zA and xB, yB, zB
are the axes of the coordinates parallel to crystallographic
directions in grains A and B, respectively. O is the rotation
axis and is the rotation
MT 60006
Grain Boundaries and Interfaces
3-0-0
1
EBSD
Indexing
Data representation
Data Interpretation
2
EBSD system
3
EBSD Detector system
An EBSD system will typically consist of following:
A phosphor screen which is fluoresced by electrons from the
sam
MT 60006
Grain Boundaries and Interfaces
3-0-0
1
Multiple Twinning Mechanism
A x B = (A x B) (i)
A x B = (A / B) (ii)
The second relationship applies only if A/B is an integer
and A>B
Accordingly:
3 x 3 = 9
3 x 9 = 27
3 x 9 = 3
Multiple Twinning
3 x 3 = 9
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MT 60006
Grain Boundaries and Interfaces
3-0-0
1
Stereographic Projection
Pole Figure
Inverse Pole Figure
2
Why we need Stereographic Projection?
Crystal drawings made in perspective or in the form of plan and
elevation, while they have their uses, are n
Five parameter stereological analysis
3D EBSD
Pseudo-3D EBSD
1
Some terminologyTrace of Plane
A plane may also be represented by the trace the extended plane
makes in the surface of the sphere
This trace is a great circle, i.e., a circle of maximum diam
Concept of surface tension of GBs
Dihedral angle of GBs and Interfaces
Implication of these parameters on
properties
1
Concept of surface tension in grain boundaries
The surface energy of grain boundary has unit of J/m2
J
m
G
2
N .m N
m
m
G
2
But the
34
Introduction to Texture Analysis
numbers is as the three Euler angles, which reside in a coordinate system
known as Euler space.
2.6.1 The Euler Angles
The Euler angles refer to three rotations that, when performed in the correct
sequence, transform th
Viscosity
Dr. Tarun Kumar Kundu
1
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2
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02/15/17
MOLECULAR THEORY OF THE
VISCOSITY
OF
LIQUIDS
In a pure liquid at rest the individual molecules are
constantly i
Mechanical Energy
Balance in Fluid Flow
Dr. T. K. Kundu
02/15/17
1
02/15/17 2
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Long Radius (LR) Elbows radius is 1.5 times the pipe diameter
Short Radius (SR) Elbows radius is 1.0 times the
Mechanical Energy
Balance in Fluid Flow
Dr. T. K. Kundu
02/15/17
1
02/15/17 2
02/15/17 3
Long Radius (LR) Elbows radius is 1.5 times the pipe diameter
Short Radius (SR) Elbows radius is 1.0 times the pipe diameter
90 Degree Elbow where change in direction
1
Crystal Symmetry
Dr. Debalay Chakrabarti
2
Crystal Symmetry
3
4
5
6
Objectives
Review of symmetry operators, their matrix representation, and
how to use them to find all the symmetrically equivalent
descriptions of a given texture component.
To illustra
Texture Analysis by Pole Figure
Method
Dr. Debalay Chakrabarti
How to Measure Texture
X-ray diffraction; pole figures; measures average
texture at a surface (ms penetration); projection (2
angles).
Neutron diffraction; type of data depends on
neutron so
Example and Application
Dr. D. Chakrabarti
Deformation Texture of Low Carbon Steel
Rolling Texture in Low Carbon Steel
Recrystallisation Texture in Low Carbon Steel
Anisotropy Example 2:
Drawn Aluminum Cup with Ears
Figure shows
example of a cup
that has
Texture in Metals
Dr. Debalay Chakrabarti
Dept. of Metallurgical and Materials Engg., I. I. T., Kharagpur.
Microstructure-Properties Relationships
Processing
Performance
Design
Microstructure
Properties
Microstructure-Properties Relationships
Encyclopedia
AICPA Business & Industry
U.S. Economic Outlook Survey
3Q 2016
The CPA Outlook Index
The CPA Outlook Index (CPAOI) is a broad-based indicator of the strength of U.S. business activity and
economic direction that reflects the views of CPAs who are AICPA me
Dharma Putranto
Dendy Fikosasono
Jemy Yapola
Robby S Irawan
Yuli Rosiana
BIRCH PAPER
COMPANY
NORTHERN
DIVISION
THOMPSON
DIVISION
SOUTHERN
DIVISION
X DIVISION
Was a medium-sized company which
partly an integrated paper company
Producing white and craft pap