Test Case: Frank-Read Source: Difference between revisions
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Frank-Read source is a type of dislocation multiplication mechanism. Consider a segment whose ends are pinned(corresponding to nodes in a network, precipitates, or sites where the dislocation leaves the glide plane). Under a certain applied stress the segment bows out by glide. As bow-out proceeds, the radius of curvature of the line decreases and the line-tension forces tending to restore the line to a straight configuration increase. For stress less than a critical value, a metastable equilibrium configuration is attained, in which the line-tension force balances that caused by the applied stress. For the large bow-out case, following equilibrium condition holds |
Frank-Read source is a type of dislocation multiplication mechanism. Consider a segment whose ends are pinned(corresponding to nodes in a network, precipitates, or sites where the dislocation leaves the glide plane). Under a certain applied stress the segment bows out by glide. As bow-out proceeds, the radius of curvature of the line decreases and the line-tension forces tending to restore the line to a straight configuration increase. For stress less than a critical value, a metastable equilibrium configuration is attained, in which the line-tension force balances that caused by the applied stress. For the large bow-out case, following equilibrium condition holds: |
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<math>b\mathbf{\sigma}=\frac{\mu b^2}{4\pi r(1-\nu)}{[1-\frac{\nu}{2}(3-4cos^2 \beta)]ln\frac{L}{\rho}-1+\frac{nu]{2}}< |
<math>b\mathbf{\sigma}=\frac{\mu b^2}{4\pi r(1-\nu)}{[1-\frac{\nu}{2}(3-4cos^2 \beta)]ln\frac{L}{\rho}-1+\frac{nu]{2}}</math> |
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Revision as of 08:09, 19 December 2007
Frank-Read source is a type of dislocation multiplication mechanism. Consider a segment whose ends are pinned(corresponding to nodes in a network, precipitates, or sites where the dislocation leaves the glide plane). Under a certain applied stress the segment bows out by glide. As bow-out proceeds, the radius of curvature of the line decreases and the line-tension forces tending to restore the line to a straight configuration increase. For stress less than a critical value, a metastable equilibrium configuration is attained, in which the line-tension force balances that caused by the applied stress. For the large bow-out case, following equilibrium condition holds:
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b\mathbf{\sigma}=\frac{\mu b^2}{4\pi r(1-\nu)}{[1-\frac{\nu}{2}(3-4cos^2 \beta)]ln\frac{L}{\rho}-1+\frac{nu]{2}}}