PARADISCYL:Cylinder-Remove surface debris: Difference between revisions
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There is remaining issue realted to the time step due to the small dislocation segments.This tutorial describes how to remove tiny dislocation segment in cylinder code. |
There is remaining issue realted to the time step due to the small dislocation segments.This tutorial describes how to remove tiny dislocation segment in cylinder code. |
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==Algorithm== |
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1. Searching for the surface node(node in Figure 2.(a)) |
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2. Find the neighbor node(nbr1 in Figure 2.(a)) |
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3. Check if the character of surface segment is similar to screw |
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<math> 1.0-\mathbf{b} \cdot \mathbf{ \xi}<= \epsilon</math> |
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, where <math>\epsilon</math> is a tolerance. |
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4. Given burgers vector, there are three possible slip planes. For example, if <math>\mathbf{b} = a[111]</math>, then possible slip planes are <math>\mathbf{n}_1 = [1\bar{1}1],\mathbf{n}_2 = [0\bar{1}1],\mathbf{n}_3 = [\bar{1}01]</math>(See figure 2(b)) |
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5. Compute projected forces on each plane. |
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<math>\mathbf{F}_{i} = \mathbf{F}_{total}-(\mathbf{F}_{total} \cdot \mathbf{n}_i)\mathbf{n}_i</math> |
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6. Based on the magnitudes of <math>\mathbf{F}_{i}</math>, choose slip plane of the surface dislocation segment. |
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|[[Image:cylinder_fig.jpg |frameless|300px|caption]] |
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|[[Image:slip_system.jpg |frameless|300px|caption]] |
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|align="center"|(a) |
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|align="center"|(b) |
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|colspan="2" | Fig.2 (a)Schematic (b) Slip system <math>\mathbf{b} = a[111],\mathbf{n}_1 = [1\bar{1}1],\mathbf{n}_2 = [0\bar{1}1],\mathbf{n}_3 = [\bar{1}01]</math>. |
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Revision as of 07:27, 8 December 2011
Remove surface debris
ill Ryu and Wei Cai
There is remaining issue realted to the time step due to the small dislocation segments.This tutorial describes how to remove tiny dislocation segment in cylinder code.
Algorithm
1. Searching for the surface node(node in Figure 2.(a))
2. Find the neighbor node(nbr1 in Figure 2.(a))
3. Check if the character of surface segment is similar to screw
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 1.0-\mathbf{b} \cdot \mathbf{ \xi}<= \epsilon}
, where 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 \epsilon} is a tolerance.
4. Given burgers vector, there are three possible slip planes. For example, if 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[111]} , then possible slip planes are 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{n}_1 = [1\bar{1}1],\mathbf{n}_2 = [0\bar{1}1],\mathbf{n}_3 = [\bar{1}01]} (See figure 2(b))
5. Compute projected forces on each plane. 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{F}_{i} = \mathbf{F}_{total}-(\mathbf{F}_{total} \cdot \mathbf{n}_i)\mathbf{n}_i}
6. Based on the magnitudes of 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{F}_{i}} , choose slip plane of the surface dislocation segment.
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| (a) | (b) |
| Fig.2 (a)Schematic (b) Slip system 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[111],\mathbf{n}_1 = [1\bar{1}1],\mathbf{n}_2 = [0\bar{1}1],\mathbf{n}_3 = [\bar{1}01]}
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