Defects and Slip Chromium metal has a metallic atomic radius of 0.200 nm. It shows plastic...

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Mechanical Engineering

Defects and Slip
Chromium metal has a metallic atomic radius of 0.200 nm. It shows plastic deformation via slip along the <111> directions.
a) What is the planar density (atoms/m2) for its densest family of planes? What is the magnitude of the Burgers vector for the dislocations that promote slip in chromium metal?
c) A chromium ingot has tensile stress applied at a 25Â° angle to the slip plane normal and a 63Â° angle to the slip direction. It experiences a resolved shear stress of 25 MPa. What is the total tensile stress applied to the ingot?Â
d) What is the maximum resolved shear stress, in any direction, for this applied tensileÂ stress?Â
e) It is observed that polycrystalline chromium has a higher tensile stren than singleÂ crystalline chromium. Propose a reason for this difference in tensile strength.

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4.0 Ratings (453 Votes)

a Chromium Cr has a BCC crystal structure Slip along directions suggests a BCC system corresponding to 110 slip Therefore a3 4r a 4 x 0200 x 109 3 a 461 x 1010 m Densest planes are 110 so we find 2 atoms a2 2 663 x 1018 atomsm2 b Expressions for Burgers vectors for FCC and BCC crystal structures are of form b a2 uvw where a is the unit cell edge length Also since the magnitudes of these Burgers vectors may be determined from the following equation b a2 See Answer

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