21-Mat-A4 Deformation Behaviour and Properties of Materials, May 2013: worked solutions

Paper format. National Exams, May 2013 — 10-Met-A4, Structure of Materials. Three hours, closed book, one approved calculator (Casio or Sharp). Eight questions of 20 marks each; the rubric asks for any five, and only the first five in the answer book are marked. All eight are solved here, because this set is a study resource rather than an exam script. All necessary constants and equations are provided in the exam's own appendix; standard SI values (Planck's constant, electron mass, Avogadro's number) are used below and are noted where that happens.

The printed exam header reads 10-Met-A4, Structure of Materials. Two of the eight questions (V and VI) are genuinely deformation/mechanical-properties questions, but the paper as a whole is a broad introductory materials-science survey — bonding, crystallography, defects, diffusion, dislocations, XRD and phase diagrams — and is answered as such below.

Reference texts. The answers below are keyed to the works normally recommended for this syllabus code:

W. D. Callister and D. G. Rethwisch, Materials Science and Engineering: An Introduction, 10th ed. — atomic bonding, crystal structure, imperfections, diffusion, mechanical properties, dislocations, phase diagrams.
G. E. Dieter, Mechanical Metallurgy, 3rd ed. — Schmid's law, slip systems, true-stress/true-strain analysis.

21-Mat-A4 Deformation Behaviour and Properties of Materials: May 2013