PARADISCYL:Cylinder-Remove surface debris - Revision history

Iryu at 08:14, 8 December 2011

2011-12-08T08:14:00Z

← Older revision		Revision as of 08:14, 8 December 2011
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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.

	When two dislocations meet near the surface and form a junction, it would generate very tiny segments, which occur rapid drop in time step. To overcome this issue,		When two dislocations meet near the surface and form a junction, it would generate very tiny segments, which occur rapid drop in time step. To overcome this issue,we remove these small dislocation segment according to the following algorithm.

	<HR>		<HR>

Iryu: /* Algorithm */

2011-12-08T08:09:33Z

Algorithm

← Older revision		Revision as of 08:09, 8 December 2011
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	3. Check if ''seglength'' is less than ''minSeg''		3. Check if ''seglength'' is less than ''minSeg''

	4. Count number of independent slip ~~plane~~ of inside arms.		4. Count the number of independent slip planes of inside arms.

			''Case I'':if nbr1 has a independent slip plane and nbr1 has 3, 2 of which are linked to surface
			-> Project nbr1 to the surface along the line(See figure 1.(b))

			''Case II'':if nbr1 has 2 independent slip planes
			Project nbr1 to surface along the intersection of two slip planes(See figure 1.(c))

Iryu at 07:54, 8 December 2011

2011-12-08T07:54:05Z

← Older revision		Revision as of 07:54, 8 December 2011
Line 8:		Line 8:
	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.

			When two dislocations meet near the surface and form a junction, it would generate very tiny segments, which occur rapid drop in time step. To overcome this issue,

	<HR>		<HR>
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	==Algorithm==		==Algorithm==

	1. Searching for the surface node(node in Figure 2.(a))		1. Searching for the surface node(node in Figure 1.(a))

	2. Find the neighbor node(nbr1 in Figure 2.(a))		2. Find the neighbor node(nbr1 in Figure 1.(a))

	3. Check if ~~the character of surface segment~~ is ~~similar~~ to ~~screw~~		3. Check if ''seglength'' is less than ''minSeg''
	<math> 1.0-\mathbf{b} \cdot \mathbf{ \xi}<= \epsilon</math>
	, where <math>\epsilon</math> is a tolerance.

			4. Count number of independent slip plane of inside arms.
	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))


	5. Compute projected forces on each plane.
	<math>\mathbf{F}_{i} = \mathbf{F}_{total}-(\mathbf{F}_{total} \cdot \mathbf{n}_i)\mathbf{n}_i</math>

	6. Based on the magnitudes of <math>\mathbf{F}_{i}</math>, choose slip plane of the surface dislocation segment.
	{\|border="0" align="center"		{\|border="0" align="center"
	\|[[Image:~~cylinder_fig~~.jpg‎ \|frameless\|~~300px~~\|caption]]		\|[[Image:Remove_surface_debris1.jpg‎ \|frameless\|200px\|caption]]
	\|[[Image:~~slip_system~~.jpg‎ \|frameless\|~~300px~~\|caption]]		\|[[Image:Remove_surface_debris2.jpg‎ \|frameless\|200px\|caption]]
			\|[[Image:Remove_surface_debris3.jpg‎ \|frameless\|200px\|caption]]
	\|-		\|-
	\|align="center"\|(a)		\|align="center"\|(a)
	\|align="center"\|(b)		\|align="center"\|(b)
			\|align="center"\|(c)
	\|-		\|-
	\|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>~~.		\|colspan="2" \| Fig.1 (a)Schematic diagram (b) Case ''I'' (c) Case ''II''.

	<HR>		<HR>

Iryu at 07:27, 8 December 2011

2011-12-08T07:27:52Z

← Older revision		Revision as of 07:27, 8 December 2011
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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.


			<HR>

			==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
			<math> 1.0-\mathbf{b} \cdot \mathbf{ \xi}<= \epsilon</math>
			, where <math>\epsilon</math> is a tolerance.

			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))

			5. Compute projected forces on each plane.
			<math>\mathbf{F}_{i} = \mathbf{F}_{total}-(\mathbf{F}_{total} \cdot \mathbf{n}_i)\mathbf{n}_i</math>

			6. Based on the magnitudes of <math>\mathbf{F}_{i}</math>, choose slip plane of the surface dislocation segment.
			{\|border="0" align="center"
			\|[[Image:cylinder_fig.jpg‎ \|frameless\|300px\|caption]]
			\|[[Image:slip_system.jpg‎ \|frameless\|300px\|caption]]
			\|-
			\|align="center"\|(a)
			\|align="center"\|(b)
			\|-
			\|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>.
			<HR>

Iryu at 18:24, 2 December 2011

2011-12-02T18:24:29Z

← Older revision		Revision as of 18:24, 2 December 2011
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	</DIV>		</DIV>

	~~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.		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.

Iryu at 18:24, 2 December 2011

2011-12-02T18:24:06Z

← Older revision		Revision as of 18:24, 2 December 2011
Line 6:		Line 6:
	</DIV>		</DIV>

	There is a remaining issue realted to the time step due to the small dislocation segments~~.This tutorial explains how to remove tiny dislocation segments in cylinder code~~.		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.

Iryu: Created page with '
Remove surface debris

ill Ryu and Wei Cai

T…'

2011-12-02T18:23:55Z

Created page with ' Remove surface debris <DIV> ill Ryu and Wei Cai </DIV> T…'

New page

Remove surface debris 
<DIV>
ill Ryu and Wei Cai
</DIV>

There is a remaining issue realted to the time step due to the small dislocation segments.This tutorial explains how to remove tiny dislocation segments in cylinder code.

PARADISCYL:Cylinder-Remove surface debris - Revision history

Iryu at 08:14, 8 December 2011

Iryu: /* Algorithm */

Iryu at 07:54, 8 December 2011

Iryu at 07:27, 8 December 2011

Iryu at 18:24, 2 December 2011

Iryu at 18:24, 2 December 2011

Iryu: Created page with ' Remove surface debris ill Ryu and Wei Cai T…'

Iryu: Created page with '
Remove surface debris

ill Ryu and Wei Cai

T…'