2. A single crystal of aluminum is oriented for a tensile test such that its slip plane normal makes an angle of 28.1° with the tensile axis. Three possible slip directions make angles of  62.4°, 72.0°, and 81.1° with the same tensile axis.  (a) Which of these three slip directions is most favored?  (b) If plastic deformation begins at a tensile stress of σ x = 1.95 MPa (280 psi), determine the critical resolved shear stress for aluminium. (c) If this single crystalspecimen is loaded under the new stress state: σ x =1.2 MPa σ y = -0.8 MPa, and τ xy = 0.6 MPa, howmuch is the resolve the shear stress along the most favored slip direction?

Elements Of Electromagnetics
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 2. A single crystal of aluminum is oriented for a tensile test such that its slip plane normal makes an angle of 28.1° with the tensile axis. Three possible slip directions make angles of  62.4°, 72.0°, and 81.1° with the same tensile axis.  (a) Which of these three slip directions is most favored?  (b) If plastic deformation begins at a tensile stress of σ x = 1.95 MPa (280 psi), determine the critical resolved shear stress for aluminium. (c) If this single crystal
specimen is loaded under the new stress state: σ x =1.2 MPa σ y = -0.8 MPa, and τ xy = 0.6 MPa, how
much is the resolve the shear stress along the most favored slip direction?

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