MMAE490 Take Home Exam
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I understand that my answers must be all my own work.
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1.
a) Show that the planes (111), (231) and (1 -2 4) all lie in the same
zone. b) What is the zone axi

MMAE490 Stress Field and Energy Per Unit Length Of A Screw Dislocation
The lattice around a dislocation is distorted, and this distortion implies an excess of
energy compared with perfect crystal. This calculation will derive an expression for the
energy

MMAE490 Force Acting On A Dislocation Due To An Arbitrary Stress
In this document, vectors will be in bold type and tensors in underlined bold type.
Consider a dislocation whose line vector is described by the unit vector l and whose
Burgers vector is b,

MMAE490 General Equations For The Stresses Around Screw And Edge
Dislocations
1. Screw Dislocation: A previous handout derived the shear strain and stress produced
around a screw dislocation. The complete stress field components of a screw dislocation
alo

MMAE490 Final Exam Fall 2015
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1. Use the Peach-Kohler equation to prove that the application of a pure
hydrostatic stress:
0 0
0 0
0 0
Produces no force on a screw dislocation, regardless of the

MMAE490 Assignment 1
1.
What symmetry is shown by: (a) an Egyptian pyramid? (b) A tetrahedron whose faces are
congruent isosceles triangles (c) an octahedron whose faces are congruent isosceles
triangles (d) The Hancock Building in downtown Chicago (consi

MMAE490 Assignment 4
1.
A topaz (semi-precious gemstone, Al2SiO4F1.4OH0.6) occurring in a kyanite
quartzite of the Sulu UHP terrane in eastern China is analyzed using the rotating
crystal method using X-ray film as the detector in a cylindrical camera. Th

MMAE490 Assignment 2
1.
Make sketch stereographic projections showing the poles of all faces of (a)
an Egyptian pyramid, (b) a regular octahedron, (c) a regular tetrahedron, (d)
a cube with one corner cut off to leave a face parallel to (111).
2.
Given th

MMAE490 2nd Exam
Open book and notes
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Answer all questions
1.
A X-ray powder method analysis of a metal sample known to have a cubic crystal
structure exhibited diffracti

(crystal orientating)
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International Tables for Crystallography
Volume A: Space-Group Symmetry
Editor: Theo Hahn (5th, 2005)
(interaxial angle)
, bc
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