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reworked the hexagonal slip system order and adjusted interaction matrices to a logic that facilitates later system additions without altering existing structure.

This commit is contained in:
Philip Eisenlohr 2013-07-01 14:01:42 +00:00
parent 4a291dc372
commit 8ccdfb27f3
1 changed files with 154 additions and 149 deletions
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@ -449,88 +449,91 @@ module lattice
2, -1, -1, 0, 0, 1, -1, 0, &
-1, 2, -1, 0, -1, 0, 1, 0, &
-1, -1, 2, 0, 1, -1, 0, 0, &
! 1st type 1st order pyramidal systems <11.0>{10.1} -- plane normals depend on the c/a-ratio
2, -1, -1, 0, 0, 1, -1, 1, &
1, 1, -2, 0, -1, 1, 0, 1, &
-1, 2, -1, 0, -1, 0, 1, 1, &
-2, 1, 1, 0, 0, -1, 1, 1, &
-1, -1, 2, 0, 1, -1, 0, 1, &
1, -2, 1, 0, 1, 0, -1, 1, &
! pyramidal system: c+a slip <-21.-3>{-10.1} -- plane normals depend on the c/a-ratio
-1, 2, -1, -3, 0, 1, -1, 1, &
1, 1, -2, -3, 0, 1, -1, 1, &
-2, 1, 1, -3, -1, 1, 0, 1, &
-1, 2, -1, -3, -1, 1, 0, 1, &
-1, -1, 2, -3, -1, 0, 1, 1, &
-2, 1, 1, -3, -1, 0, 1, 1, &
1, -2, 1, -3, 0, -1, 1, 1, &
-1, -1, 2, -3, 0, -1, 1, 1, &
2, -1, -1, -3, 1, -1, 0, 1, &
1, -2, 1, -3, 1, -1, 0, 1, &
1, 1, -2, -3, 1, 0, -1, 1, &
2, -1, -1, -3, 1, 0, -1, 1, &
! pyramidal system: c+a slip <11.-3>{11.2} -- as for hexagonal ice (Castelnau et al 1996, similar to twin system found below)
2, -1, -1, -3, 2, -1, -1, 2, & ! <11.-3>{11.2} shear = 2((c/a)^2-2)/(3 c/a)
1, 1, -2, -3, 1, 1, -2, 2, & ! sorted according to similar twin system
-1, 2, -1, -3, -1, 2, -1, 2, &
-2, 1, 1, -3, -2, 1, 1, 2, &
-1, -1, 2, -3, -1, -1, 2, 2, &
1, -2, 1, -3, 1, -2, 1, 2, &
! 2nd type prismatic systems <10.0>{11.0} -- a slip; plane normals independent of c/a-ratio
0, 1, -1, 0, 2, -1, -1, 0, &
-1, 0, 1, 0, -1, 2, -1, 0, &
1, -1, 0, 0, -1, -1, 2, 0 &
1, -1, 0, 0, -1, -1, 2, 0, &
! 1st type 1st order pyramidal systems <11.0>{-11.1} -- plane normals depend on the c/a-ratio
2, -1, -1, 0, 0, 1, -1, 1, &
-1, 2, -1, 0, -1, 0, 1, 1, &
-1, -1, 2, 0, 1, -1, 0, 1, &
1, 1, -2, 0, -1, 1, 0, 1, &
-2, 1, 1, 0, 0, -1, 1, 1, &
1, -2, 1, 0, 1, 0, -1, 1, &
! pyramidal system: c+a slip <11.3>{-10.1} -- plane normals depend on the c/a-ratio
2, -1, -1, 3, -1, 1, 0, 1, &
1, -2, 1, 3, -1, 1, 0, 1, &
-1, -1, 2, 3, 1, 0, -1, 1, &
-2, 1, 1, 3, 1, 0, -1, 1, &
-1, 2, -1, 3, 0, -1, 1, 1, &
1, 1, -2, 3, 0, -1, 1, 1, &
-2, 1, 1, 3, 1, -1, 0, 1, &
-1, 2, -1, 3, 1, -1, 0, 1, &
1, 1, -2, 3, -1, 0, 1, 1, &
2, -1, -1, 3, -1, 0, 1, 1, &
1, -2, 1, 3, 0, 1, -1, 1, &
-1, -1, 2, 3, 0, 1, -1, 1, &
! pyramidal system: c+a slip <11.3>{-1-1.2} -- as for hexagonal ice (Castelnau et al 1996, similar to twin system found below)
2, -1, -1, 3, -2, 1, 1, 2, & ! sorted according to similar twin system
-1, 2, -1, 3, 1, -2, 1, 2, & ! <11.3>{-1-1.2} shear = 2((c/a)^2-2)/(3 c/a)
-1, -1, 2, 3, 1, 1, -2, 2, &
-2, 1, 1, 3, 2, -1, -1, 2, &
1, -2, 1, 3, -1, 2, -1, 2, &
1, 1, -2, 3, -1, -1, 2, 2 &
],pReal),[ 4_pInt + 4_pInt,lattice_hex_Nslip]) !< slip systems for hex sorted by A. Alankar & P. Eisenlohr
real(pReal), dimension(4+4,lattice_hex_Ntwin), parameter, private :: &
lattice_hex_systemTwin = reshape(real([&
0, 1, -1, 1, 0, -1, 1, 2, & ! <-10.1>{10.2} shear = (3-(c/a)^2)/(sqrt(3) c/a)
1, -1, 0, 1, -1, 1, 0, 2, & ! <-10.1>{10.2} shear = (3-(c/a)^2)/(sqrt(3) c/a)
-1, 0, 1, 1, 1, 0, -1, 2, &
0, 1, -1, 1, 0, -1, 1, 2, &
-1, 1, 0, 1, 1, -1, 0, 2, &
-1, 0, 1, 1, 1, 0, -1, 2, & !!
0, -1, 1, 1, 0, 1, -1, 2, &
1, -1, 0, 1, -1, 1, 0, 2, &
1, 0, -1, 1, -1, 0, 1, 2, &
2, -1, -1, -3, 2, -1, -1, 2, & ! <11.-3>{11.2} shear = 2((c/a)^2-2)/(3 c/a)
1, 1, -2, -3, 1, 1, -2, 2, & !!
-1, 2, -1, -3, -1, 2, -1, 2, &
-2, 1, 1, -3, -2, 1, 1, 2, &
-1, -1, 2, -3, -1, -1, 2, 2, &
1, -2, 1, -3, 1, -2, 1, 2, &
-2, 1, 1, 6, 2, -1, -1, 1, & ! <-1-1.6>{11.1} shear = 1/(c/a)
-1, -1, 2, 6, 1, 1, -2, 1, & !!
1, -2, 1, 6, -1, 2, -1, 1, &
2, -1, -1, 6, -2, 1, 1, 1, &
1, 1, -2, 6, -1, -1, 2, 1, &
0, -1, 1, 1, 0, 1, -1, 2, &
!
2, -1, -1, 6, -2, 1, 1, 1, & ! <11.6>{-1-1.1} shear = 1/(c/a)
-1, 2, -1, 6, 1, -2, 1, 1, &
1, 0, -1, -2, 1, 0, -1, 1, & !! <10.-2>{10.1} shear = (4(c/a)^2-9)/(4 sqrt(3) c/a)
-1, 0, 1, -2, -1, 0, 1, 1, &
0, 1, -1, -2, 0, 1, -1, 1, &
-1, -1, 2, 6, 1, 1, -2, 1, &
-2, 1, 1, 6, 2, -1, -1, 1, &
1, -2, 1, 6, -1, 2, -1, 1, &
1, 1, -2, 6, -1, -1, 2, 1, &
!
-1, 1, 0, -2, -1, 1, 0, 1, & !! <10.-2>{10.1} shear = (4(c/a)^2-9)/(4 sqrt(3) c/a)
1, 0, -1, -2, 1, 0, -1, 1, &
0, -1, 1, -2, 0, -1, 1, 1, &
1, -1, 0, -2, 1, -1, 0, 1, &
-1, 1, 0, -2, -1, 1, 0, 1 &
-1, 0, 1, -2, -1, 0, 1, 1, &
0, 1, -1, -2, 0, 1, -1, 1, &
!
2, -1, -1, -3, 2, -1, -1, 2, & ! <11.-3>{11.2} shear = 2((c/a)^2-2)/(3 c/a)
-1, 2, -1, -3, -1, 2, -1, 2, &
-1, -1, 2, -3, -1, -1, 2, 2, &
-2, 1, 1, -3, -2, 1, 1, 2, &
1, -2, 1, -3, 1, -2, 1, 2, &
1, 1, -2, -3, 1, 1, -2, 2 &
],pReal),[ 4_pInt + 4_pInt ,lattice_hex_Ntwin]) !< twin systems for hex, order follows Prof. Tom Bieler's scheme; but numbering in data was restarted from 1
integer(pInt), dimension(lattice_hex_Ntwin), parameter, private :: &
lattice_hex_shearTwin = reshape(int( [& ! indicator to formula further below
1, & ! {10.2}<-10.1>
1, & ! <-10.1>{10.2}
1, &
1, &
1, &
1, &
1, &
2, & ! {11.2}<11.-3>
2, & ! <11.6>{-1-1.1}
2, &
2, &
2, &
2, &
2, &
3, & ! {11.1}<-1-1.6>
3, & ! <10.-2>{10.1}
3, &
3, &
3, &
3, &
3, &
4, & ! {10.1}<10.-2>
4, & ! <11.-3>{11.2}
4, &
4, &
4, &
@ -540,44 +543,45 @@ module lattice
integer(pInt), dimension(lattice_hex_Nslip,lattice_hex_Nslip), target, public :: &
lattice_hex_interactionSlipSlip = reshape(int( [&
1, 7, 7, 13,13,13, 18,18,18,18,18,18, 22,22,22,22,22,22,22,22,22,22,22,22, 25,25,25,25,25,25, 27,27,27, & ! ---> slip
7, 1, 7, 13,13,13, 18,18,18,18,18,18, 22,22,22,22,22,22,22,22,22,22,22,22, 25,25,25,25,25,25, 27,27,27, & ! |
7, 7, 1, 13,13,13, 18,18,18,18,18,18, 22,22,22,22,22,22,22,22,22,22,22,22, 25,25,25,25,25,25, 27,27,27, & ! |
1, 2, 2, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & ! ---> slip
2, 1, 2, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & ! |
2, 2, 1, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & ! |
! v slip
28,28,28, 2, 8, 8, 14,14,14,14,14,14, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, 26,26,26, &
28,28,28, 8, 2, 8, 14,14,14,14,14,14, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, 26,26,26, &
28,28,28, 8, 8, 2, 14,14,14,14,14,14, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, 26,26,26, &
6, 6, 6, 4, 5, 5, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, &
6, 6, 6, 5, 4, 5, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, &
6, 6, 6, 5, 5, 4, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, &
!
33,33,33, 29,29,29, 3, 9, 9, 9, 9, 9, 15,15,15,15,15,15,15,15,15,15,15,15, 20,20,20,20,20,20, 24,24,24, &
33,33,33, 29,29,29, 9, 3, 9, 9, 9, 9, 15,15,15,15,15,15,15,15,15,15,15,15, 20,20,20,20,20,20, 24,24,24, &
33,33,33, 29,29,29, 9, 9, 3, 9, 9, 9, 15,15,15,15,15,15,15,15,15,15,15,15, 20,20,20,20,20,20, 24,24,24, &
33,33,33, 29,29,29, 9, 9, 9, 3, 9, 9, 15,15,15,15,15,15,15,15,15,15,15,15, 20,20,20,20,20,20, 24,24,24, &
33,33,33, 29,29,29, 9, 9, 9, 9, 3, 9, 15,15,15,15,15,15,15,15,15,15,15,15, 20,20,20,20,20,20, 24,24,24, &
33,33,33, 29,29,29, 9, 9, 9, 9, 9, 3, 15,15,15,15,15,15,15,15,15,15,15,15, 20,20,20,20,20,20, 24,24,24, &
12,12,12, 11,11,11, 9,10,10, 15,15,15,15,15,15, 33,33,33,33,33,33,33,33,33,33,33,33, 33,33,33,33,33,33, &
12,12,12, 11,11,11, 10, 9,10, 15,15,15,15,15,15, 33,33,33,33,33,33,33,33,33,33,33,33, 33,33,33,33,33,33, &
12,12,12, 11,11,11, 10,10, 9, 15,15,15,15,15,15, 33,33,33,33,33,33,33,33,33,33,33,33, 33,33,33,33,33,33, &
!
37,37,37, 34,34,34, 30,30,30,30,30,30, 4,10,10,10,10,10,10,10,10,10,10,10, 16,16,16,16,16,16, 21,21,21, &
37,37,37, 34,34,34, 30,30,30,30,30,30, 10, 4,10,10,10,10,10,10,10,10,10,10, 16,16,16,16,16,16, 21,21,21, &
37,37,37, 34,34,34, 30,30,30,30,30,30, 10,10, 4,10,10,10,10,10,10,10,10,10, 16,16,16,16,16,16, 21,21,21, &
37,37,37, 34,34,34, 30,30,30,30,30,30, 10,10,10, 4,10,10,10,10,10,10,10,10, 16,16,16,16,16,16, 21,21,21, &
37,37,37, 34,34,34, 30,30,30,30,30,30, 10,10,10,10, 4,10,10,10,10,10,10,10, 16,16,16,16,16,16, 21,21,21, &
37,37,37, 34,34,34, 30,30,30,30,30,30, 10,10,10,10,10, 4,10,10,10,10,10,10, 16,16,16,16,16,16, 21,21,21, &
37,37,37, 34,34,34, 30,30,30,30,30,30, 10,10,10,10,10,10, 4,10,10,10,10,10, 16,16,16,16,16,16, 21,21,21, &
37,37,37, 34,34,34, 30,30,30,30,30,30, 10,10,10,10,10,10,10, 4,10,10,10,10, 16,16,16,16,16,16, 21,21,21, &
37,37,37, 34,34,34, 30,30,30,30,30,30, 10,10,10,10,10,10,10,10, 4,10,10,10, 16,16,16,16,16,16, 21,21,21, &
37,37,37, 34,34,34, 30,30,30,30,30,30, 10,10,10,10,10,10,10,10,10, 4,10,10, 16,16,16,16,16,16, 21,21,21, &
37,37,37, 34,34,34, 30,30,30,30,30,30, 10,10,10,10,10,10,10,10,10,10, 4,10, 16,16,16,16,16,16, 21,21,21, &
37,37,37, 34,34,34, 30,30,30,30,30,30, 10,10,10,10,10,10,10,10,10,10,10, 4, 16,16,16,16,16,16, 21,21,21, &
20,20,20, 19,19,19, 18,18,18, 16,17,17,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, &
20,20,20, 19,19,19, 18,18,18, 17,16,17,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, &
20,20,20, 19,19,19, 18,18,18, 17,17,16,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, &
20,20,20, 19,19,19, 18,18,18, 17,17,17,16,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, &
20,20,20, 19,19,19, 18,18,18, 17,17,17,17,16,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, &
20,20,20, 19,19,19, 18,18,18, 17,17,17,17,17,16, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, &
!
40,40,40, 38,38,38, 35,35,35,35,35,35, 31,31,31,31,31,31,31,31,31,31,31,31, 5,11,11,11,11,11, 17,17,17, &
40,40,40, 38,38,38, 35,35,35,35,35,35, 31,31,31,31,31,31,31,31,31,31,31,31, 11, 5,11,11,11,11, 17,17,17, &
40,40,40, 38,38,38, 35,35,35,35,35,35, 31,31,31,31,31,31,31,31,31,31,31,31, 11,11, 5,11,11,11, 17,17,17, &
40,40,40, 38,38,38, 35,35,35,35,35,35, 31,31,31,31,31,31,31,31,31,31,31,31, 11,11,11, 5,11,11, 17,17,17, &
40,40,40, 38,38,38, 35,35,35,35,35,35, 31,31,31,31,31,31,31,31,31,31,31,31, 11,11,11,11, 5,11, 17,17,17, &
40,40,40, 38,38,38, 35,35,35,35,35,35, 31,31,31,31,31,31,31,31,31,31,31,31, 11,11,11,11,11, 5, 17,17,17, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 25,26,26,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,25,26,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,25,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,25,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,25,26,26,26,26,26,26,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,25,26,26,26,26,26,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,25,26,26,26,26,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,25,26,26,26,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,25,26,26,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,25,26,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,26,25,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,26,26,25, 35,35,35,35,35,35, &
!
42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 36,37,37,37,37,37, &
42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,36,37,37,37,37, &
42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,36,37,37,37, &
42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,36,37,37, &
42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,37,36,37, &
42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,37,37,36 &
!
42,42,42, 41,41,41, 39,39,39,39,39,39, 36,36,36,36,36,36,36,36,36,36,36,36, 32,32,32,32,32,32, 6,12,12, &
42,42,42, 41,41,41, 39,39,39,39,39,39, 36,36,36,36,36,36,36,36,36,36,36,36, 32,32,32,32,32,32, 12,6,12, &
42,42,42, 41,41,41, 39,39,39,39,39,39, 36,36,36,36,36,36,36,36,36,36,36,36, 32,32,32,32,32,32, 12,12,6 &
],pInt),[lattice_hex_Nslip,lattice_hex_Nslip],order=[2,1]) !< Slip--slip interaction types for hex (32? in total)
integer(pInt), dimension(lattice_hex_Nslip,lattice_hex_Ntwin), target, public :: &
@ -593,9 +597,6 @@ module lattice
9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, &
9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, &
9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, &
9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, &
9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, &
9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, &
!
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
@ -603,12 +604,6 @@ module lattice
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
!
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
@ -616,72 +611,82 @@ module lattice
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
!
21,21,21,21,21,21, 10,10,10,10,10,10, 23,23,23,23,23,23, 24,24,24,24,24,24, &
21,21,21,21,21,21, 10,10,10,10,10,10, 23,23,23,23,23,23, 24,24,24,24,24,24, &
21,21,21,21,21,21, 10,10,10,10,10,10, 23,23,23,23,23,23, 24,24,24,24,24,24, &
21,21,21,21,21,21, 10,10,10,10,10,10, 23,23,23,23,23,23, 24,24,24,24,24,24, &
21,21,21,21,21,21, 10,10,10,10,10,10, 23,23,23,23,23,23, 24,24,24,24,24,24, &
21,21,21,21,21,21, 10,10,10,10,10,10, 23,23,23,23,23,23, 24,24,24,24,24,24 &
!
21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, &
21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, &
21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24 &
],pInt),[lattice_hex_Nslip,lattice_hex_Ntwin],order=[2,1]) !< Slip--twin interaction types for hex (isotropic, 24 in total)
integer(pInt), dimension(lattice_hex_Ntwin,lattice_hex_Nslip), target, public :: &
lattice_hex_interactionTwinSlip = reshape(int( [&
1, 1, 1, 5, 5, 5, 9, 9, 9, 9, 9, 9, 13,13,13,13,13,13,13,13,13,13,13,13, 17,17,17,17,17,17, 21,21,21, & ! --> slip
1, 1, 1, 5, 5, 5, 9, 9, 9, 9, 9, 9, 13,13,13,13,13,13,13,13,13,13,13,13, 17,17,17,17,17,17, 21,21,21, & ! |
1, 1, 1, 5, 5, 5, 9, 9, 9, 9, 9, 9, 13,13,13,13,13,13,13,13,13,13,13,13, 17,17,17,17,17,17, 21,21,21, & ! |
1, 1, 1, 5, 5, 5, 9, 9, 9, 9, 9, 9, 13,13,13,13,13,13,13,13,13,13,13,13, 17,17,17,17,17,17, 21,21,21, & ! v
1, 1, 1, 5, 5, 5, 9, 9, 9, 9, 9, 9, 13,13,13,13,13,13,13,13,13,13,13,13, 17,17,17,17,17,17, 21,21,21, & ! twin
1, 1, 1, 5, 5, 5, 9, 9, 9, 9, 9, 9, 13,13,13,13,13,13,13,13,13,13,13,13, 17,17,17,17,17,17, 21,21,21, &
1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! --> slip
1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! |
1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! |
1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! v
1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! twin
1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, &
!
2, 2, 2, 6, 6, 6, 10,10,10,10,10,10, 14,14,14,14,14,14,14,14,14,14,14,14, 18,18,18,18,18,18, 22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10,10,10,10, 14,14,14,14,14,14,14,14,14,14,14,14, 18,18,18,18,18,18, 22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10,10,10,10, 14,14,14,14,14,14,14,14,14,14,14,14, 18,18,18,18,18,18, 22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10,10,10,10, 14,14,14,14,14,14,14,14,14,14,14,14, 18,18,18,18,18,18, 22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10,10,10,10, 14,14,14,14,14,14,14,14,14,14,14,14, 18,18,18,18,18,18, 22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10,10,10,10, 14,14,14,14,14,14,14,14,14,14,14,14, 18,18,18,18,18,18, 22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, &
!
3, 3, 3, 7, 7, 7, 11,11,11,11,11,11, 15,15,15,15,15,15,15,15,15,15,15,15, 19,19,19,19,19,19, 23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11,11,11,11, 15,15,15,15,15,15,15,15,15,15,15,15, 19,19,19,19,19,19, 23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11,11,11,11, 15,15,15,15,15,15,15,15,15,15,15,15, 19,19,19,19,19,19, 23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11,11,11,11, 15,15,15,15,15,15,15,15,15,15,15,15, 19,19,19,19,19,19, 23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11,11,11,11, 15,15,15,15,15,15,15,15,15,15,15,15, 19,19,19,19,19,19, 23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11,11,11,11, 15,15,15,15,15,15,15,15,15,15,15,15, 19,19,19,19,19,19, 23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, &
!
4, 4, 4, 8, 8, 8, 12,12,12,12,12,12, 16,16,16,16,16,16,16,16,16,16,16,16, 20,20,20,20,20,20, 24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12,12,12,12, 16,16,16,16,16,16,16,16,16,16,16,16, 20,20,20,20,20,20, 24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12,12,12,12, 16,16,16,16,16,16,16,16,16,16,16,16, 20,20,20,20,20,20, 24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12,12,12,12, 16,16,16,16,16,16,16,16,16,16,16,16, 20,20,20,20,20,20, 24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12,12,12,12, 16,16,16,16,16,16,16,16,16,16,16,16, 20,20,20,20,20,20, 24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12,12,12,12, 16,16,16,16,16,16,16,16,16,16,16,16, 20,20,20,20,20,20, 24,24,24 &
4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24 &
],pInt),[lattice_hex_Ntwin,lattice_hex_Nslip],order=[2,1]) !< Twin--twin interaction types for hex (isotropic, 20 in total)
integer(pInt), dimension(lattice_hex_Ntwin,lattice_hex_Ntwin), target, public :: &
lattice_hex_interactionTwinTwin = reshape(int( [&
1, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 12,12,12,12,12,12, 14,14,14,14,14,14, & ! ---> twin
5, 1, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 12,12,12,12,12,12, 14,14,14,14,14,14, & ! |
5, 5, 1, 5, 5, 5, 9, 9, 9, 9, 9, 9, 12,12,12,12,12,12, 14,14,14,14,14,14, & ! |
5, 5, 5, 1, 5, 5, 9, 9, 9, 9, 9, 9, 12,12,12,12,12,12, 14,14,14,14,14,14, & ! v twin
5, 5, 5, 5, 1, 5, 9, 9, 9, 9, 9, 9, 12,12,12,12,12,12, 14,14,14,14,14,14, &
5, 5, 5, 5, 5, 1, 9, 9, 9, 9, 9, 9, 12,12,12,12,12,12, 14,14,14,14,14,14, &
1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & ! ---> twin
2, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & ! |
2, 2, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & ! |
2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & ! v twin
2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, &
2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, &
!
15,15,15,15,15,15, 2, 6, 6, 6, 6, 6, 10,10,10,10,10,10, 13,13,13,13,13,13, &
15,15,15,15,15,15, 6, 2, 6, 6, 6, 6, 10,10,10,10,10,10, 13,13,13,13,13,13, &
15,15,15,15,15,15, 6, 6, 2, 6, 6, 6, 10,10,10,10,10,10, 13,13,13,13,13,13, &
15,15,15,15,15,15, 6, 6, 6, 2, 6, 6, 10,10,10,10,10,10, 13,13,13,13,13,13, &
15,15,15,15,15,15, 6, 6, 6, 6, 2, 6, 10,10,10,10,10,10, 13,13,13,13,13,13, &
15,15,15,15,15,15, 6, 6, 6, 6, 6, 2, 10,10,10,10,10,10, 13,13,13,13,13,13, &
6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, &
6, 6, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, &
6, 6, 6, 6, 6, 6, 5, 5, 4, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, &
6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, &
6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, &
6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, &
!
18,18,18,18,18,18, 16,16,16,16,16,16, 3, 7, 7, 7, 7, 7, 11,11,11,11,11,11, &
18,18,18,18,18,18, 16,16,16,16,16,16, 7, 3, 7, 7, 7, 7, 11,11,11,11,11,11, &
18,18,18,18,18,18, 16,16,16,16,16,16, 7, 7, 3, 7, 7, 7, 11,11,11,11,11,11, &
18,18,18,18,18,18, 16,16,16,16,16,16, 7, 7, 7, 3, 7, 7, 11,11,11,11,11,11, &
18,18,18,18,18,18, 16,16,16,16,16,16, 7, 7, 7, 7, 3, 7, 11,11,11,11,11,11, &
18,18,18,18,18,18, 16,16,16,16,16,16, 7, 7, 7, 7, 7, 3, 11,11,11,11,11,11, &
12,12,12,12,12,12, 11,11,11,11,11,11, 9,10,10,10,10,10, 15,15,15,15,15,15, &
12,12,12,12,12,12, 11,11,11,11,11,11, 10, 9,10,10,10,10, 15,15,15,15,15,15, &
12,12,12,12,12,12, 11,11,11,11,11,11, 10,10, 9,10,10,10, 15,15,15,15,15,15, &
12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10, 9,10,10, 15,15,15,15,15,15, &
12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10,10, 9,10, 15,15,15,15,15,15, &
12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10,10,10, 9, 15,15,15,15,15,15, &
!
20,20,20,20,20,20, 19,19,19,19,19,19, 17,17,17,17,17,17, 4, 8, 8, 8, 8, 8, &
20,20,20,20,20,20, 19,19,19,19,19,19, 17,17,17,17,17,17, 8, 4, 8, 8, 8, 8, &
20,20,20,20,20,20, 19,19,19,19,19,19, 17,17,17,17,17,17, 8, 8, 4, 8, 8, 8, &
20,20,20,20,20,20, 19,19,19,19,19,19, 17,17,17,17,17,17, 8, 8, 8, 4, 8, 8, &
20,20,20,20,20,20, 19,19,19,19,19,19, 17,17,17,17,17,17, 8, 8, 8, 8, 4, 8, &
20,20,20,20,20,20, 19,19,19,19,19,19, 17,17,17,17,17,17, 8, 8, 8, 8, 8, 4 &
20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 16,17,17,17,17,17, &
20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,16,17,17,17,17, &
20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,16,17,17,17, &
20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,17,16,17,17, &
20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,17,17,16,17, &
20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,17,17,17, 4 &
],pInt),[lattice_hex_Ntwin,lattice_hex_Ntwin],order=[2,1]) !< Twin--slip interaction types for hex (isotropic, 16 in total)
integer(pInt), parameter, private :: NnonSchmid_hex = 0_pInt !< # of non-Schmid contributions for hex
@ -894,14 +899,14 @@ integer(pInt) function lattice_initializeStructure(struct,CoverA)
tn(3,i) = lattice_hex_systemTwin(8,i)/CoverA
select case(lattice_hex_shearTwin(i)) ! from Christian & Mahajan 1995 p.29
case (1_pInt) ! {10.2}<-10.1>
case (1_pInt) ! <-10.1>{10.2}
ts(i) = (3.0_pReal-CoverA*CoverA)/sqrt(3.0_pReal)/CoverA
case (2_pInt) ! {11.2}<11.-3>
ts(i) = 2.0_pReal*(CoverA*CoverA-2.0_pReal)/3.0_pReal/CoverA
case (3_pInt) ! {11.1}<-1-1.6>
case (2_pInt) ! <11.6>{-1-1.1}
ts(i) = 1.0_pReal/CoverA
case (4_pInt) ! {10.1}<10.-2>
case (3_pInt) ! <10.-2>{10.1}
ts(i) = (4.0_pReal*CoverA*CoverA-9.0_pReal)/4.0_pReal/sqrt(3.0_pReal)/CoverA
case (4_pInt) ! <11.-3>{11.2}
ts(i) = 2.0_pReal*(CoverA*CoverA-2.0_pReal)/3.0_pReal/CoverA
end select
enddo