Chapter 7.3

Chapter 7.3 - Slip in single crystals - critical resolved...

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11 MSE 2090: Introduction to Materials Science Chapter 7, Strengthening Slip in single crystals - critical resolved shear stress When the resolved shear stress becomes sufficiently large, the crystal will start to yield (dislocations start to move along the most favorably oriented slip system). The onset of yielding corresponds to the yield stress, σ y (Chapter 6). The minimum shear stress required to initiate slip is termed the critical resolved shear stress : ( ) MAX y CRSS cos cos λ φ σ = τ Maximum value of (cos φ cos λ ) corresponds to φ = λ = 45 o cos φ cos λ = 0.5 ⇒σ y = 2 τ CRSS () MAX CRSS y cos cos λ φ τ = σ Slip will occur first in slip systems oriented close to these angles ( φ = λ = 45 o ) with respect to the applied stress
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12 MSE 2090: Introduction to Materials Science Chapter 7, Strengthening Slip in a single crystal Each step (shear band) result from the generation of a large number of dislocations and their propagation in the slip system with maximum resolved shear stress.
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This note was uploaded on 02/14/2012 for the course MSE 2090 taught by Professor Leoindzhiglei during the Fall '10 term at UVA.

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Chapter 7.3 - Slip in single crystals - critical resolved...

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