Texture and Microstructuremme.iitm.ac.in/vsarma/mm5020/Texture_Intro.pdf · Stereographic...
Transcript of Texture and Microstructuremme.iitm.ac.in/vsarma/mm5020/Texture_Intro.pdf · Stereographic...
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Texture and Microstructure
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• Microstructure contains far more than qualitative descriptions (images) of cross-sections of materials.
• Most properties are anisotropic
•it is important to quantitatively characterize the microstructure including orientation information (texture).
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A randomly texture sheet
A strongly textured sheet
The cube texture(001) ND (Sheet Normal Direction)[100] RD (Sheet Rolling Direction)
In latin, textor means weaver
In materials science, texture way in which a material is woven.
Polycrystalline material is constituted from a large number of smallcrystallites (limited volume of material in which periodicity of crystallattice is present). Each of these crystallites has a specific orientationof the crystal lattice.
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Crystallographic texture is the orientation distribution of crystallites in a polycrystalline material
Texture :Metallurgists and Materials Scientists
Fabric :Geologists and Mineralogists
Preferred Orientation :Everybody
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Why textures?
Texture influences the following properties:
•Elastic modulus
•Yield strength
•Tensile ductility and strength
•Formability
•Fatigue strength
•Fracture toughness
•Stress corrosion cracking
•Electrical and Magnetic properties
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Major fields of application
A. Conventional• Aluminium industry• Steel industry
• LC steels• Electrical steels
• Titanium alloys• Zirconium base nuclear grade alloys
B. Modern • High Tc superconductors• Thin films for semiconducting and magnetic devices• Bulk magnetic materials• Structural Ceramics• Polymers
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Beverage Cans
Aluminium beverage cans Stages in the drawing and ironing of a beverage can
Anisotropy in the mechanical properties can cause 'earing' in the can body. The ears must becut off, leading to wastage.Photo courtesy of VAW aluminium AG
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Materials whose properties may be influenced by texture
Engineering Materials:Metals and AlloysCeramicsPolymersComposites
Natural Materials:Geological
MineralsOresRocksSaltsIce
BiologicalBones Shells Teeth Wood
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Texture Formation processes
Texture changes due to:
(i) Crystallisation / solidification
(from a non-crystalline / liquid state)
(ii) Plastic deformation
(by glide or slip and twinning)
(iii) Annealing
(from the same phase)
(iv) Phase transformation
(from a different phase)
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Factors deciding texture Crystal structure
Deformation system (slip, twinning)
Material - Solid solution impurities or alloying additions,Insoluble impurities or second phases
Prior heat treatment -Initial textureInitial grain size
Strain rateOverall deformation (amount, mode of deformation etc.)
Deformation temperature Annealing
Deformation variables
Temperature and time
Heating and cooling ratesFurnace atmosphere
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Texture formation in thin films
Magnetic field
Electrical field
Mechanical stresses
Temperature gradient
Solidification / Deposition conditions
Geometry of the substrate
Structural anisotropy of the substrate
Depends on:
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Some general information regarding texture elongated or flattened grains do not imply a certain texture, or even the presence of texture at all
presence of equiaxed grains does not imply a random orientation.
texture is a statistical concept. If 30-40% of the grains have common orientation, material can be said strongly textured.
textures may be of simple type or they may be complex
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Effect of texture on diffraction patterns
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How to Describe Textures ?
For uniaxial deformation or other processes, miller indices of directions [uvw] aligned along the specimen axis,
For biaxial deformation, like rolling,
a combination of miller indices of sheet plane and the miller indices of the directions parallel to the longitudinal axes, say, (hkl) [uvw]
<100> fibre texture in wire {110}<112> sheet texture
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Stereographic projection mapping of crystallographic planes and directions in a
convenient and straightforward manner.
two dimension drawing of three dimensional data.
planes are plotted as great circle lines, and directions are plotted as points.
Sometimes, planes are also indicated by the normal to them, that is, by a point.
What do we learn further : geometrical correspondence between crystallographic planes
and directions with their stereographic projections.
important crystallographic directions that lie in a particular plane of a crystal.
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What is a pole?
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How to Measure Textures ?
X-ray diffraction
Neutron diffraction
Electron diffraction
Synchrotron radiation
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• Pole figures are the most common source of texture information; cheapest, easiest to perform.
• Pole figure = variation in diffracted intensity with respect to direction in the specimen.
• Representation = map in projection of diffracted intensity.
• Map of crystal directions w.r.t. sample reference frame.
Pole Figures
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Principle of pole figure measurement
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Texture Goniometer
goniometer for texture analysis:
4-circle spectrometer
4 angles: ,, , pole figure angles ,,
Reflection geometry
Thick samples (X-ray)Transmission geometry
Thin samples (X-rays, neutrons)
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Types of texture:
Bulk / macro-texture
Micro-texture
Meso-texture
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Mathematical descriptors of orientation
Orientation matrix
Ideal orientation
Euler angles
Angle/axis of rotation
Rodrigues vector
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Oorientation through angle / axis