Chap 07 Solns-6E

Chap 07 Solns-6E - CHAPTER 7 DISLOCATIONS AND STRENGTHENING...

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CHAPTER 7 DISLOCATIONS AND STRENGTHENING MECHANISMS PROBLEM SOLUTIONS 7.2 When the two edge dislocations become aligned, a planar region of vacancies will exist between the dislocations as: 7.7 Below is shown the atomic packing for a BCC {110} type plane. The arrows indicate two different <111> type directions. = (2.5 MPa)cos(65 ° )cos( 30° ) [ ] = 0.90 MPa (130 psi) 7.13 This problem asks that we compute the critical resolved shear stress for silver. In order to do this, we must employ Equation (7.3), but first it is necessary to solve for the angles λ and φ from the sketch below. 172

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If the unit cell edge length is a , then λ = tan -1 a a = 45 ° For the angle φ , we must examine the triangle OAB . The length of line OA is just a , whereas, the length of AB is a 2 . Thus, φ = tan -1 a 2 a = 54.7 ° And, finally τ crss = σ y (cos φ cos λ ) = (1.1 MPa) cos(54.7 ° )cos(45 ° ) [ ] = 0.45 MPa (65.4 psi) 7.15 This problem asks, for a BCC metal, that we compute the applied stress(s) that are required to
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Chap 07 Solns-6E - CHAPTER 7 DISLOCATIONS AND STRENGTHENING...

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