CBE30361 Lecture Notes - Lecture 13: Shear Stress, Single Crystal, Grain Boundary

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Fcc slip occurs on {111} planes (close-packed) in <110> directions (close packed) Resolved shear stresses result from applied tensile stress (cid:2026) = (cid:1832) (cid:1827)(cid:1755)(cid:1755),(cid:1875)(cid:1860)(cid:1861)(cid:1855)(cid:1860) (cid:1861)(cid:1871) (cid:1872)(cid:1860)(cid:1857) (cid:1871)(cid:1860)(cid:1857)(cid:1853)(cid:1870) (cid:1871)(cid:1872)(cid:1870)(cid:1857)(cid:1871)(cid:1871) A is the cross-sectional area of the cylinder. F is the tensile force applied in the axial direction. Crss = critical resolved shear stress, which is the yield stress. If not, what stress is needed? (cid:2026) = 45 (cid:1839)(cid:1842)(cid:1853),(cid:2019) = 35 ,(cid:2038) = 60 (cid:2028) = (45)(cos(60))(cos(35)) = 18. 4 (cid:1839)(cid:1842)(cid:1853) 18. 4 (cid:1839)(cid:1842)(cid:1853) < 20. 7 (cid:1839)(cid:1842)(cid:1853),(cid:1871)(cid:1867) (cid:1872)(cid:1860)(cid:1857) (cid:1855)(cid:1870)(cid:1877)(cid:1871)(cid:1872)(cid:1853)(cid:1864) (cid:1875)(cid:1861)(cid:1864)(cid:1864) (cid:1866)(cid:1867)(cid:1872) (cid:1877)(cid:1857)(cid:1864)(cid:1856) Slip planes and directions varies from one grain to another. Thus, (cid:2028)(cid:3019) will vary from one grain to another. The grain with the largest (cid:2028)(cid:3019) yields first. This actually strengthens the materials against plastic deformation. Restricting or hindering dislocation motion makes the material stronger and harder. Barrier strength increases with increasing angle of misorientation. Smaller grain size more barriers to slip. Impurity atoms distort the lattice and generate lattice strains.

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