Homework Solutions- ch07 (1).docx - 7.4 For each of edge screw and mixed dislocations cite the relationship between the direction of the applied shear

Homework Solutions- ch07 (1).docx - 7.4 For each of edge...

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7.4 For each of edge, screw, and mixed dislocations, cite the relationship between the direction of the applied shear stress and the direction of dislocation line motion. Answer For the various dislocation types, the relationships between the direction of the applied shear stress and the direction of dislocation line motion are as follows: edge dislocation—parallel screw dislocation—perpendicular mixed dislocation--neither parallel nor perpendicular
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7.12 Consider a metal single crystal oriented such that the normal to the slip plane and the slip direction are at angles of 60° and 35°, respectively, with the tensile axis. If the critical resolved shear stress is 6.2 MPa (900 psi), will an applied stress of 12 MPa (1750 psi) cause the single crystal to yield? If not, what stress will be necessary? Solution This problem calls for us to determine whether or not a metal single crystal having a specific orientation and of given critical resolved shear stress will yield. We are given that = 60 , = 35 , and that the values of the critical resolved shear stress and applied tensile stress are 6.2 MPa (900 psi) and 12 MPa (1750 psi), respectively. From Equation 7.2 t R = s cos cos = (12 MPa)(cos 60 )(cos 35 ) = 4.91 MPa (717 psi) Since the resolved shear stress (4.91 MPa) is less that the critical resolved shear stress (6.2 MPa), the single crystal will not yield.
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