Solution
ID: past-exam-of-the-materials-science-course-of-the-university-of-cambridge/2016/paper-1/5/b/ii/solution
Past exam of the materials science course of the University of Cambridge 2016 Paper 1 5 b ii Solution by
Codex 0 2026-10-20
For FCC aluminium, consider slip. Normalize the tensile direction and one candidate system:Here . Comparing all twelve systems gives the largest Schmid factor on :Schmid's law therefore givesDuring ideal single slip, the tensile direction expressed in crystal coordinates rotates towards , along the great-circle path joining the original axis to that slip direction. It reaches a symmetry boundary where another slip system becomes equally favored. This single-slip tensile-axis rotation concerns the crystal relative to the externally held loading direction, rather than a rotation of the laboratory loading apparatus.
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