MSE_2610_HW_5 - MSE 2610 Introduction to the Mechanical...

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MSE 2610 Introduction to the Mechanical Properties of Materials Fall 2008 Homework Assignment #5 1.) Hexagonal close-packed (HCP) zinc slips only by basal plane slip. A zinc single crystal is oriented so that the normal to its slip plane makes an angle of 60° with the tensile axis. The three slip directions have angles of 38°, 45°, and 84° with respect to the tensile axis, and the critical resolved shear stress (CRSS) is 2.3 MPa. The shear modulus G for the crystal is 42 GPa. a.) Determine the tensile stress at which plastic deformation commences. b.) The lattice parameters for zinc are a = 2.66 Å and c = 4.94 Å. What is the magnitude of the Burgers vector b ? c.) What is the critical force per unit length (of dislocation) required to move a straight dislocation in zinc? d.) What is the length of the shortest dislocation line segment that could act as a double-ended dislocation source ( i.e. , Frank-Read source), if the maximum shear stress acting on the dislocation segment is 5.2 MPa?
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MSE_2610_HW_5 - MSE 2610 Introduction to the Mechanical...

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