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| '''Peierls stress''' is the force (first discovered by [[Rudolf Peierls]] and modified by [[Frank Nabarro]]) needed to move a [[dislocation]] within a plane of atoms in the [[unit cell]]. The magnitude varies periodically as the [[dislocation]] moves within the plane. Peierls stress depends on the size and width of a [[dislocation]] and the distance between planes. Because of this, Peierls stress decreases with increasing distance between atomic planes. Yet since the distance between planes increases with planar atomic density, [[Slip (materials science)|slip]] of the dislocation is preferred on closely packed planes. | | The writer's title is Andera and she believes it sounds fairly good. I've usually loved residing in Alaska. Distributing manufacturing has been his profession for some time. To climb is some thing she would never give up.<br><br>Look into my page: online psychic ([http://clothingcarearchworth.com/index.php?document_srl=441551&mid=customer_review http://clothingcarearchworth.com/]) |
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| == Peierl's–Nabarro stress proportionality ==
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| :<math>\tau_\mathrm{PN} = \frac{2G}{1-v}e^{-2{\pi}W/b}</math>
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| Where:
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| :<math>W = \frac{a}{1-v}=</math> the dislocation width | |
| :<math>G</math> = [[shear modulus]]
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| :<math>\nu</math> = [[Poisson's ratio]]
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| :<math>b</math> = interatomic spacing | |
| :<math>a</math> = interplanar spacing
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| == The Peierls stress and yield strength temperature sensitivity ==
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| The Peierls stress also relates to the temperature sensitivity of the [[yield strength]] of a material because it too depends on both short range atomic order and atomic bond strength. As temperature increases, the vibration of atoms increases and thus both peierls stress and yield strength decrease as a result of weaker atomic bond strength at high temperatures.
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| ==References==
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| *Hertzberg, Richard W. ''Deformation and Fracture Mechanics of Engineering Materials 4th Edition''
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| [[Category:Crystallographic defects]]
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Latest revision as of 06:37, 1 December 2014
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