PARADISCYL:Cylinder-test

Test Cases in cylinder code

ill Ryu and Wei Cai

This tutorial describes test cases to check if cylinder code works well, especially for the image stress calculation. We provide Matlab files which generates ParaDiS inputs and plot the results. The theoretical background is published in Computing Image Stress in an Elastic Cylinder, Journal of the Mechanics and Physics of Solids, 55, 2027 (2007). (PDF) and Dislocation Dynamics Simulations in a Cylinder, Proceedings of the Dislocations 2008 International Conference, IOP Conference Series: Materials Science and Engineering, vol 3,012007 (2009).(PDF)

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TEST1 : Straight edge dislocation along the cylinder axis

In the first test case, image stress of a straight edge dislocation is considered, as shown in the Figure 1, where dislocation is offset($\mathbf {x}$) from the center of the cylinder. We have two cases of $\mathbf {x}$=0.5$\mathbf {r}$ and 0.9$\mathbf {r}$.$\mathbf {r}$ is the radius of the cylinder.

(a)	(b)
Fig.1 (a) Isoview (b) Topview.The Bergurs vector is 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 \mathbf{b} = a[1 0 0]} . Since the image stress field of this configuration is solved analytically[Eshelby, J.D., 1979], we compare it with the simulation result in the image force.