Rocstar  1.0
Rocstar multiphysics simulation application
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MP/Source/v3d10_nl_huang.f90
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53 SUBROUTINE v3d10_nl_huang(coor,matcstet,lmcstet,R_in,d,&
54  s11,s22,s33,s12,s23,s13, &
55  numnp,nstart,nend,numcstet,numat_vol,&
56  statev_part1,statev_part2,nstatev,matrix,nmatrix, &
57  particle,nparticle,nparticletype,interfac,ninterfac, straintrace)
58 
59 !________________________________________________________________________
60 !
61 ! V3D10 - Performs displacement based computations for Volumetric 3D,
62 ! 10-node Quadratic Linear Elastic Tetrahedron with quadratic
63 ! interpolation functions. (linear strain tetrahedra).
64 ! Large Deformation. Returns the internal force vector R_in.
65 !
66 ! DATE: 10.2001 AUTHOR: SCOT BREITENFELD
67 !________________________________________________________________________
68 
69  IMPLICIT NONE
70 
71  integer :: nstatev
72  integer :: nmatrix
73  integer :: nparticle,nparticletype
74  integer :: ninterfac
75 
76 !-----Global variables
77  INTEGER :: numnp ! number of nodes
78  INTEGER :: numat_vol ! number of volumetric materials
79  INTEGER :: numcstet ! number of LSTets
80 
81  real*8, dimension(1:numcstet) :: statev_part1
82  real*8, dimension(1:numcstet) :: statev_part2
83  real*8, dimension(1:NMATRIX) :: matrix
84  real*8, dimension(1:NPARTICLE,1:NPARTICLETYPE) :: particle
85  real*8, dimension(1:NINTERFAC) :: interfac
86  real*8, dimension(1:numcstet) :: straintrace
87  real*8 :: straintrace_gauss
88 
89  integer :: ii
90 !-- coordinate array
91  REAL*8, DIMENSION(1:3,1:numnp) :: coor
92 !-- internal force
93  REAL*8, DIMENSION(1:3*numnp) :: r_in
94 !-- displacement vector
95  REAL*8, DIMENSION(1:3*numnp) :: d
96 !-- CSTet stress
97  REAL*8, DIMENSION(1:4,1:numcstet) :: s11, s22, s33, s12, s23, s13
98 !-- connectivity table for CSTet
99  INTEGER, DIMENSION(1:10,1:numcstet) :: lmcstet
100 !-- mat number for CSTet element
101  INTEGER, DIMENSION(1:numcstet) :: matcstet
102 !---- Local variables
103 !-- node numbers
104  INTEGER :: n1,n2,n3,n4,n5,n6,n7,n8,n9,n10
105 !-- x, y, and z displacements of nodes
106  REAL*8 :: u1,u2,u3,u4,u5,u6,u7,u8,u9,u10
107  REAL*8 :: v1,v2,v3,v4,v5,v6,v7,v8,v9,v10
108  REAL*8 :: w1,w2,w3,w4,w5,w6,w7,w8,w9,w10
109 !-- 6*volume and the volume
110  REAL*8 :: vx6,vx6inv
111 !-- spacial derivatives
112  REAL*8 :: b1,b2,b3,b4,b5,b6,b7,b8,b9,b10
113  REAL*8 :: b11,b12,b13,b14,b15,b16,b17,b18,b19,b20
114  REAL*8 :: b21,b22,b23,b24,b25,b26,b27,b28,b29,b30
115 !-- partial derivatives of the displacement
116  REAL*8 :: dudx,dvdy,dwdz,dudy,dvdx,dvdz,dwdy,dudz,dwdx
117 !-- strains
118  REAL*8 :: e11,e22,e33,e12,e23,e13
119 !-- coordinate holding variable
120  REAL*8 :: x1,x2,x3,x4,x5,x6,x7,x8,x9,x10
121  REAL*8 :: y1,y2,y3,y4,y5,y6,y7,y8,y9,y10
122  REAL*8 :: z1,z2,z3,z4,z5,z6,z7,z8,z9,z10
123 !-- dummy and counters
124  INTEGER :: i,j,nstart,nend
125  REAL*8 :: aux1,aux2,aux3,aux4,aux5,aux6,aux7,aux8,aux9,aux10,aux11,aux12
126 !-- partial internal force
127  REAL*8 :: r1,r2,r3,r4,r5,r6,r7,r8,r9,r10,r11,r12,r13,r14,r15,r16,r17,r18
128  REAL*8 :: r19,r20,r21,r22,r23,r24,r25,r26,r27,r28,r29,r30
129  REAL*8 :: g1, g2, g3, g4
130  REAL*8 :: xn1, xn2, xn3, xn4
131 !-- Coordinate subtractions
132  REAL*8 :: x14, x24, x34, y14, y24, y34, z14, z24, z34
133 !--
134  REAL*8 :: c11, c21, c31
135  INTEGER :: k1n1,k1n2,k1n3,k1n4,k1n5,k1n6,k1n7,k1n8,k1n9,k1n10
136  INTEGER :: k2n1,k2n2,k2n3,k2n4,k2n5,k2n6,k2n7,k2n8,k2n9,k2n10
137  INTEGER :: k3n1,k3n2,k3n3,k3n4,k3n5,k3n6,k3n7,k3n8,k3n9,k3n10
138 !--
139  REAL*8 :: f11, f12, f13, f21, f22, f23, f31, f32, f33
140  REAL*8, dimension(1:3,1:3) :: f
141  REAL*8, dimension(1:3,1:3) :: s, strain
142 
143  REAL*8 :: strainpt
144 
145  REAL*8,DIMENSION(1:4,1:4) :: gaussintpt = reshape( &
146  (/0.58541020d0,0.13819660d0,0.13819660d0,0.13819660d0, &
147  0.13819660d0,0.58541020d0,0.13819660d0,0.13819660d0, &
148  0.13819660d0,0.13819660d0,0.58541020d0,0.13819660d0, &
149  0.13819660d0,0.13819660d0,0.13819660d0,0.58541020d0/),(/4,4/) )
150 
151  INTEGER :: igpt
152 
153  REAL*8, DIMENSION(1:3,1:3) :: fij, cij
154  INTEGER :: kk,ll,mm
155 
156  REAL*8, DIMENSION(1:4,1:NPARTICLETYPE) :: statev_gauss
157 
158 
159  DO i = nstart, nend
160 
161  j = matcstet(i)
162 
163  n1 = lmcstet(1,i)
164  n2 = lmcstet(2,i)
165  n3 = lmcstet(3,i)
166  n4 = lmcstet(4,i)
167  n5 = lmcstet(5,i)
168  n6 = lmcstet(6,i)
169  n7 = lmcstet(7,i)
170  n8 = lmcstet(8,i)
171  n9 = lmcstet(9,i)
172  n10 = lmcstet(10,i)
173 
174  k3n1 = 3*n1
175  k3n2 = 3*n2
176  k3n3 = 3*n3
177  k3n4 = 3*n4
178  k3n5 = 3*n5
179  k3n6 = 3*n6
180  k3n7 = 3*n7
181  k3n8 = 3*n8
182  k3n9 = 3*n9
183  k3n10 = 3*n10
184 
185  k2n1 = k3n1 - 1
186  k2n2 = k3n2 - 1
187  k2n3 = k3n3 - 1
188  k2n4 = k3n4 - 1
189  k2n5 = k3n5 - 1
190  k2n6 = k3n6 - 1
191  k2n7 = k3n7 - 1
192  k2n8 = k3n8 - 1
193  k2n9 = k3n9 - 1
194  k2n10 = k3n10 - 1
195 
196  k1n1 = k3n1 - 2
197  k1n2 = k3n2 - 2
198  k1n3 = k3n3 - 2
199  k1n4 = k3n4 - 2
200  k1n5 = k3n5 - 2
201  k1n6 = k3n6 - 2
202  k1n7 = k3n7 - 2
203  k1n8 = k3n8 - 2
204  k1n9 = k3n9 - 2
205  k1n10 = k3n10 - 2
206  ! k#n# dummy variables replaces:
207  u1 = d(k1n1) ! (3*n1 -2)
208  u2 = d(k1n2) ! (3*n2 -2)
209  u3 = d(k1n3) ! (3*n3 -2)
210  u4 = d(k1n4) ! (3*n4 -2)
211  u5 = d(k1n5) ! (3*n5 -2)
212  u6 = d(k1n6) ! (3*n6 -2)
213  u7 = d(k1n7) ! (3*n7 -2)
214  u8 = d(k1n8) ! (3*n8 -2)
215  u9 = d(k1n9) ! (3*n9 -2)
216  u10 = d(k1n10) ! (3*n10-2)
217  v1 = d(k2n1) ! (3*n1 -1)
218  v2 = d(k2n2) ! (3*n2 -1)
219  v3 = d(k2n3) ! (3*n3 -1)
220  v4 = d(k2n4) ! (3*n4 -1)
221  v5 = d(k2n5) ! (3*n5 -1)
222  v6 = d(k2n6) ! (3*n6 -1)
223  v7 = d(k2n7) ! (3*n7 -1)
224  v8 = d(k2n8) ! (3*n8 -1)
225  v9 = d(k2n9) ! (3*n9 -1)
226  v10 = d(k2n10) ! (3*n10-1)
227  w1 = d(k3n1) ! (3*n1)
228  w2 = d(k3n2) ! (3*n2)
229  w3 = d(k3n3) ! (3*n3)
230  w4 = d(k3n4) ! (3*n4)
231  w5 = d(k3n5) ! (3*n5)
232  w6 = d(k3n6) ! (3*n6)
233  w7 = d(k3n7) ! (3*n7)
234  w8 = d(k3n8) ! (3*n8)
235  w9 = d(k3n9) ! (3*n9)
236  w10 = d(k3n10) ! (3*n10)
237 
238  x1 = coor(1,n1)
239  x2 = coor(1,n2)
240  x3 = coor(1,n3)
241  x4 = coor(1,n4)
242  y1 = coor(2,n1)
243  y2 = coor(2,n2)
244  y3 = coor(2,n3)
245  y4 = coor(2,n4)
246  z1 = coor(3,n1)
247  z2 = coor(3,n2)
248  z3 = coor(3,n3)
249  z4 = coor(3,n4)
250 
251  vx6 = x2*y3*z4 - x2*y4*z3 - y2*x3*z4 + y2*x4*z3 + z2*x3*y4 &
252  - z2*x4*y3 - x1*y3*z4 + x1*y4*z3 + x1*y2*z4 - x1*y2*z3 &
253  - x1*z2*y4 + x1*z2*y3 + y1*x3*z4 - y1*x4*z3 - y1*x2*z4 &
254  + y1*x2*z3 + y1*z2*x4 - y1*z2*x3 - z1*x3*y4 + z1*x4*y3 &
255  + z1*x2*y4 - z1*x2*y3 - z1*y2*x4 + z1*y2*x3
256 
257  vx6inv = 1.d0 / vx6
258 
259  aux1 = -(y3*z4 - y4*z3 - y2*z4 + y2*z3 + z2*y4 - z2*y3)
260  aux2 = (x3*z4 - x4*z3 - x2*z4 + x2*z3 + z2*x4 - z2*x3)
261  aux3 = -(x3*y4 - x4*y3 - x2*y4 + x2*y3 + y2*x4 - y2*x3)
262  aux4 = (y3*z4 - y4*z3 - y1*z4 + y1*z3 + z1*y4 - z1*y3)
263  aux5 = -(x3*z4 - x4*z3 - x1*z4 + x1*z3 + z1*x4 - z1*x3)
264  aux6 = (x3*y4 - x4*y3 - x1*y4 + x1*y3 + y1*x4 - y1*x3)
265  aux7 = -(y2*z4 - z2*y4 - y1*z4 + y1*z2 + z1*y4 - z1*y2)
266  aux8 = (x2*z4 - z2*x4 - x1*z4 + x1*z2 + z1*x4 - z1*x2)
267  aux9 = -(x2*y4 - y2*x4 - x1*y4 + x1*y2 + y1*x4 - y1*x2)
268  aux10 = (y2*z3 - z2*y3 - y1*z3 + y1*z2 + z1*y3 - z1*y2)
269  aux11 =-(x2*z3 - z2*x3 - x1*z3 + x1*z2 + z1*x3 - z1*x2)
270  aux12 = (x2*y3 - y2*x3 - x1*y3 + x1*y2 + y1*x3 - y1*x2)
271 
272 
273  r1 = 0.d0
274  r2 = 0.d0
275  r3 = 0.d0
276  r4 = 0.d0
277  r5 = 0.d0
278  r6 = 0.d0
279  r7 = 0.d0
280  r8 = 0.d0
281  r9 = 0.d0
282  r10 = 0.d0
283  r11 = 0.d0
284  r12 = 0.d0
285  r13 = 0.d0
286  r14 = 0.d0
287  r15 = 0.d0
288  r16 = 0.d0
289  r17 = 0.d0
290  r18 = 0.d0
291  r19 = 0.d0
292  r20 = 0.d0
293  r21 = 0.d0
294  r22 = 0.d0
295  r23 = 0.d0
296  r24 = 0.d0
297  r25 = 0.d0
298  r26 = 0.d0
299  r27 = 0.d0
300  r28 = 0.d0
301  r29 = 0.d0
302  r30 = 0.d0
303 
304  straintrace_gauss = 0.d0
305 
306  DO igpt = 1, 4
307 
308  g1 = gaussintpt(igpt,1)
309  g2 = gaussintpt(igpt,2)
310  g3 = gaussintpt(igpt,3)
311  g4 = gaussintpt(igpt,4)
312 
313  xn1 = (4.d0*g1-1.d0) ! derivative of shape function
314  xn2 = (4.d0*g2-1.d0) ! dN_i/dzeta_i
315  xn3 = (4.d0*g3-1.d0)
316  xn4 = (4.d0*g4-1.d0)
317 ! xN5 = 4.d0*g1*g2
318 ! xN6 = 4.d0*g2*g3
319 ! xN7 = 4.d0*g3*g1
320 ! xN8 = 4.d0*g1*g4
321 ! xN9 = 4.d0*g2*g4
322 ! xN10= 4.d0*g3*g4
323 
324  b1 = aux1*xn1
325  b2 = aux2*xn1
326  b3 = aux3*xn1
327  b4 = aux4*xn2
328  b5 = aux5*xn2
329  b6 = aux6*xn2
330  b7 = aux7*xn3
331  b8 = aux8*xn3
332  b9 = aux9*xn3
333  b10 = aux10*xn4
334  b11 = aux11*xn4
335  b12 = aux12*xn4
336 
337  b13 = 4.d0*(g2*aux1 + g1*aux4)
338  b14 = 4.d0*(g2*aux2 + g1*aux5)
339  b15 = 4.d0*(g2*aux3 + g1*aux6)
340 
341  b16 = 4.d0*(g3*aux4 + g2*aux7)
342  b17 = 4.d0*(g3*aux5 + g2*aux8)
343  b18 = 4.d0*(g3*aux6 + g2*aux9)
344 
345  b19 = 4.d0*(g1*aux7 + g3*aux1)
346  b20 = 4.d0*(g1*aux8 + g3*aux2)
347  b21 = 4.d0*(g1*aux9 + g3*aux3)
348 
349  b22 = 4.d0*(g4*aux1 + g1*aux10)
350  b23 = 4.d0*(g4*aux2 + g1*aux11)
351  b24 = 4.d0*(g4*aux3 + g1*aux12)
352 
353  b25 = 4.d0*(g4*aux4 + g2*aux10)
354  b26 = 4.d0*(g4*aux5 + g2*aux11)
355  b27 = 4.d0*(g4*aux6 + g2*aux12)
356 
357  b28 = 4.d0*(g4*aux7 + g3*aux10)
358  b29 = 4.d0*(g4*aux8 + g3*aux11)
359  b30 = 4.d0*(g4*aux9 + g3*aux12)
360 !
361 !-----Calculate displacement gradient (H)
362 !
363  dudx = (b1*u1 + b4*u2 + b7*u3 + b10*u4 + b13*u5 + b16*u6 + b19*u7 + b22*u8 + b25*u9 + b28*u10)*vx6inv
364  dvdy = (b2*v1 + b5*v2 + b8*v3 + b11*v4 + b14*v5 + b17*v6 + b20*v7 + b23*v8 + b26*v9 + b29*v10)*vx6inv
365  dwdz = (b3*w1 + b6*w2 + b9*w3 + b12*w4 + b15*w5 + b18*w6 + b21*w7 + b24*w8 + b27*w9 + b30*w10)*vx6inv
366  dudy = (b2*u1 + b5*u2 + b8*u3 + b11*u4 + b14*u5 + b17*u6 + b20*u7 + b23*u8 + b26*u9 + b29*u10)*vx6inv
367  dvdx = (b1*v1 + b4*v2 + b7*v3 + b10*v4 + b13*v5 + b16*v6 + b19*v7 + b22*v8 + b25*v9 + b28*v10)*vx6inv
368  dvdz = (b3*v1 + b6*v2 + b9*v3 + b12*v4 + b15*v5 + b18*v6 + b21*v7 + b24*v8 + b27*v9 + b30*v10)*vx6inv
369  dwdy = (b2*w1 + b5*w2 + b8*w3 + b11*w4 + b14*w5 + b17*w6 + b20*w7 + b23*w8 + b26*w9 + b29*w10)*vx6inv
370  dudz = (b3*u1 + b6*u2 + b9*u3 + b12*u4 + b15*u5 + b18*u6 + b21*u7 + b24*u8 + b27*u9 + b30*u10)*vx6inv
371  dwdx = (b1*w1 + b4*w2 + b7*w3 + b10*w4 + b13*w5 + b16*w6 + b19*w7 + b22*w8 + b25*w9 + b28*w10)*vx6inv
372 
373 !
374 ! deformation gradients F
375 !
376  f(1,1) = 1.d0 + dudx
377  f(1,2) = dudy
378  f(1,3) = dudz
379  f(2,1) = dvdx
380  f(2,2) = 1.d0 + dvdy
381  f(2,3) = dvdz
382  f(3,1) = dwdx
383  f(3,2) = dwdy
384  f(3,3) = 1.d0 + dwdz
385 
386  call huang_const_model(f,matrix,nmatrix, &
387  particle,nparticle,nparticletype,interfac,ninterfac,s, strain,statev_gauss(igpt,1),statev_gauss(igpt,2))
388 
389  straintrace_gauss = straintrace_gauss + strain(1,1)+ strain(2,2)+ strain(3,3)
390 
391 ! StrainPt = Strain(1,1)
392 
393  s11(igpt,i) = s(1,1)
394  s22(igpt,i) = s(2,2)
395  s33(igpt,i) = s(3,3)
396  s12(igpt,i) = s(1,2)
397  s23(igpt,i) = s(2,3)
398  s13(igpt,i) = s(1,3)
399 
400  r1 = r1 + &
401  ( s11(igpt,i)*b1*(1.d0+dudx) + s22(igpt,i)*b2*dudy + s33(igpt,i)*b3*dudz &
402  + s12(igpt,i)*( b2*(1.d0+dudx) + b1*dudy ) &
403  + s23(igpt,i)*( b3*dudy + b2*dudz ) &
404  + s13(igpt,i)*( b3*(1.d0+dudx) + b1*dudz ) )
405  r2 = r2 + &
406  ( s11(igpt,i)*b1*dvdx + s22(igpt,i)*b2*(1.d0+dvdy) + s33(igpt,i)*b3*dvdz &
407  + s12(igpt,i)*( b1*(1.d0+dvdy) + b2*dvdx ) &
408  + s23(igpt,i)*( b3*(1.d0+dvdy) + b2*dvdz ) &
409  + s13(igpt,i)*( b3*dvdx + b1*dvdz ) )
410  r3 = r3 + &
411  ( s11(igpt,i)*b1*dwdx + s22(igpt,i)*b2*dwdy + s33(igpt,i)*b3*(1.d0+dwdz) &
412  + s12(igpt,i)*( b2*dwdx + b1*dwdy ) &
413  + s23(igpt,i)*( b3*dwdy + b2*(1.d0 + dwdz) ) &
414  + s13(igpt,i)*( b3*dwdx + b1*(1.d0 + dwdz) ) )
415 
416  r4 = r4 + &
417  ( s11(igpt,i)*b4*(1.d0+dudx) + s22(igpt,i)*b5*dudy + s33(igpt,i)*b6*dudz &
418  + s12(igpt,i)*( b5*(1.d0+dudx) + b4*dudy ) &
419  + s23(igpt,i)*( b6*dudy + b5*dudz ) &
420  + s13(igpt,i)*( b6*(1.d0+dudx) + b4*dudz ) )
421  r5 = r5 + &
422  ( s11(igpt,i)*b4*dvdx + s22(igpt,i)*b5*(1.d0+dvdy) + s33(igpt,i)*b6*dvdz &
423  + s12(igpt,i)*( b4*(1.d0+dvdy) + b5*dvdx ) &
424  + s23(igpt,i)*( b6*(1.d0+dvdy) + b5*dvdz ) &
425  + s13(igpt,i)*( b6*dvdx + b4*dvdz ) )
426  r6 = r6 + &
427  ( s11(igpt,i)*b4*dwdx + s22(igpt,i)*b5*dwdy + s33(igpt,i)*b6*(1.d0+dwdz) &
428  + s12(igpt,i)*( b5*dwdx + b4*dwdy ) &
429  + s23(igpt,i)*( b6*dwdy + b5*(1.d0 + dwdz) ) &
430  + s13(igpt,i)*( b6*dwdx + b4*(1.d0 + dwdz) ) )
431 
432  r7 = r7 + &
433  ( s11(igpt,i)*b7*(1.d0+dudx) + s22(igpt,i)*b8*dudy + s33(igpt,i)*b9*dudz &
434  + s12(igpt,i)*( b8*(1.d0+dudx) + b7*dudy ) &
435  + s23(igpt,i)*( b9*dudy + b8*dudz ) &
436  + s13(igpt,i)*( b9*(1.d0+dudx) + b7*dudz ) )
437  r8 = r8 + &
438  ( s11(igpt,i)*b7*dvdx + s22(igpt,i)*b8*(1.d0+dvdy) + s33(igpt,i)*b9*dvdz &
439  + s12(igpt,i)*( b7*(1.d0+dvdy) + b8*dvdx ) &
440  + s23(igpt,i)*( b9*(1.d0+dvdy) + b8*dvdz ) &
441  + s13(igpt,i)*( b9*dvdx + b7*dvdz ) )
442  r9 = r9 + &
443  ( s11(igpt,i)*b7*dwdx + s22(igpt,i)*b8*dwdy + s33(igpt,i)*b9*(1.d0+dwdz) &
444  + s12(igpt,i)*( b8*dwdx + b7*dwdy ) &
445  + s23(igpt,i)*( b9*dwdy + b8*(1.d0 + dwdz) ) &
446  + s13(igpt,i)*( b9*dwdx + b7*(1.d0 + dwdz) ) )
447 
448  r10 = r10 + &
449  ( s11(igpt,i)*b10*(1.d0+dudx) + s22(igpt,i)*b11*dudy+s33(igpt,i)*b12*dudz &
450  + s12(igpt,i)*( b11*(1.d0+dudx) + b10*dudy ) &
451  + s23(igpt,i)*( b12*dudy + b11*dudz ) &
452  + s13(igpt,i)*( b12*(1.d0+dudx) + b10*dudz ) )
453  r11 = r11 + &
454  ( s11(igpt,i)*b10*dvdx + s22(igpt,i)*b11*(1.d0+dvdy)+s33(igpt,i)*b12*dvdz &
455  + s12(igpt,i)*( b10*(1.d0+dvdy) + b11*dvdx ) &
456  + s23(igpt,i)*( b12*(1.d0+dvdy) + b11*dvdz ) &
457  + s13(igpt,i)*( b12*dvdx + b10*dvdz ) )
458  r12 = r12 + &
459  ( s11(igpt,i)*b10*dwdx + s22(igpt,i)*b11*dwdy+s33(igpt,i)*b12*(1.d0+dwdz) &
460  + s12(igpt,i)*( b11*dwdx + b10*dwdy ) &
461  + s23(igpt,i)*( b12*dwdy + b11*(1.d0 + dwdz) ) &
462  + s13(igpt,i)*( b12*dwdx + b10*(1.d0 + dwdz) ) )
463 
464  r13 = r13 + &
465  ( s11(igpt,i)*b13*(1.d0+dudx) + s22(igpt,i)*b14*dudy + s33(igpt,i)*b15*dudz &
466  + s12(igpt,i)*( b14*(1.d0+dudx) + b13*dudy ) &
467  + s23(igpt,i)*( b15*dudy + b14*dudz ) &
468  + s13(igpt,i)*( b15*(1.d0+dudx) + b13*dudz ) )
469  r14 = r14 + &
470  ( s11(igpt,i)*b13*dvdx + s22(igpt,i)*b14*(1.d0+dvdy) + s33(igpt,i)*b15*dvdz &
471  + s12(igpt,i)*( b13*(1.d0+dvdy) + b14*dvdx ) &
472  + s23(igpt,i)*( b15*(1.d0+dvdy) + b14*dvdz ) &
473  + s13(igpt,i)*( b15*dvdx + b13*dvdz ) )
474  r15 = r15 + &
475  ( s11(igpt,i)*b13*dwdx + s22(igpt,i)*b14*dwdy + s33(igpt,i)*b15*(1.d0+dwdz) &
476  + s12(igpt,i)*( b14*dwdx + b13*dwdy ) &
477  + s23(igpt,i)*( b15*dwdy + b14*(1.d0 + dwdz) ) &
478  + s13(igpt,i)*( b15*dwdx + b13*(1.d0 + dwdz) ) )
479 
480  r16 = r16 + &
481  ( s11(igpt,i)*b16*(1.d0+dudx) + s22(igpt,i)*b17*dudy + s33(igpt,i)*b18*dudz &
482  + s12(igpt,i)*( b17*(1.d0+dudx) + b16*dudy ) &
483  + s23(igpt,i)*( b18*dudy + b17*dudz ) &
484  + s13(igpt,i)*( b18*(1.d0+dudx) + b16*dudz ) )
485  r17 = r17 + &
486  ( s11(igpt,i)*b16*dvdx + s22(igpt,i)*b17*(1.d0+dvdy) + s33(igpt,i)*b18*dvdz &
487  + s12(igpt,i)*( b16*(1.d0+dvdy) + b17*dvdx ) &
488  + s23(igpt,i)*( b18*(1.d0+dvdy) + b17*dvdz ) &
489  + s13(igpt,i)*( b18*dvdx + b16*dvdz ) )
490  r18 = r18 + &
491  ( s11(igpt,i)*b16*dwdx + s22(igpt,i)*b17*dwdy + s33(igpt,i)*b18*(1.d0+dwdz) &
492  + s12(igpt,i)*( b17*dwdx + b16*dwdy ) &
493  + s23(igpt,i)*( b18*dwdy + b17*(1.d0 + dwdz) ) &
494  + s13(igpt,i)*( b18*dwdx + b16*(1.d0 + dwdz) ) )
495 
496  r19 = r19 + &
497  ( s11(igpt,i)*b19*(1.d0+dudx) + s22(igpt,i)*b20*dudy + s33(igpt,i)*b21*dudz &
498  + s12(igpt,i)*( b20*(1.d0+dudx) + b19*dudy ) &
499  + s23(igpt,i)*( b21*dudy + b20*dudz ) &
500  + s13(igpt,i)*( b21*(1.d0+dudx) + b19*dudz ) )
501  r20 = r20 + &
502  ( s11(igpt,i)*b19*dvdx + s22(igpt,i)*b20*(1.d0+dvdy) + s33(igpt,i)*b21*dvdz &
503  + s12(igpt,i)*( b19*(1.d0+dvdy) + b20*dvdx ) &
504  + s23(igpt,i)*( b21*(1.d0+dvdy) + b20*dvdz ) &
505  + s13(igpt,i)*( b21*dvdx + b19*dvdz ) )
506  r21 = r21 + &
507  ( s11(igpt,i)*b19*dwdx + s22(igpt,i)*b20*dwdy + s33(igpt,i)*b21*(1.d0+dwdz) &
508  + s12(igpt,i)*( b20*dwdx + b19*dwdy ) &
509  + s23(igpt,i)*( b21*dwdy + b20*(1.d0 + dwdz) ) &
510  + s13(igpt,i)*( b21*dwdx + b19*(1.d0 + dwdz) ) )
511 
512  r22 = r22 + &
513  ( s11(igpt,i)*b22*(1.d0+dudx) + s22(igpt,i)*b23*dudy+s33(igpt,i)*b24*dudz &
514  + s12(igpt,i)*( b23*(1.d0+dudx) + b22*dudy ) &
515  + s23(igpt,i)*( b24*dudy + b23*dudz ) &
516  + s13(igpt,i)*( b24*(1.d0+dudx) + b22*dudz ) )
517  r23 = r23 + &
518  ( s11(igpt,i)*b22*dvdx + s22(igpt,i)*b23*(1.d0+dvdy)+s33(igpt,i)*b24*dvdz &
519  + s12(igpt,i)*( b22*(1.d0+dvdy) + b23*dvdx ) &
520  + s23(igpt,i)*( b24*(1.d0+dvdy) + b23*dvdz ) &
521  + s13(igpt,i)*( b24*dvdx + b22*dvdz ) )
522  r24 = r24 + &
523  ( s11(igpt,i)*b22*dwdx + s22(igpt,i)*b23*dwdy+s33(igpt,i)*b24*(1.d0+dwdz) &
524  + s12(igpt,i)*( b23*dwdx + b22*dwdy ) &
525  + s23(igpt,i)*( b24*dwdy + b23*(1.d0 + dwdz) ) &
526  + s13(igpt,i)*( b24*dwdx + b22*(1.d0 + dwdz) ) )
527 
528  r25 = r25 + &
529  ( s11(igpt,i)*b25*(1.d0+dudx) + s22(igpt,i)*b26*dudy+s33(igpt,i)*b27*dudz &
530  + s12(igpt,i)*( b26*(1.d0+dudx) + b25*dudy ) &
531  + s23(igpt,i)*( b27*dudy + b26*dudz ) &
532  + s13(igpt,i)*( b27*(1.d0+dudx) + b25*dudz ) )
533  r26 = r26 + &
534  ( s11(igpt,i)*b25*dvdx + s22(igpt,i)*b26*(1.d0+dvdy)+s33(igpt,i)*b27*dvdz &
535  + s12(igpt,i)*( b25*(1.d0+dvdy) + b26*dvdx ) &
536  + s23(igpt,i)*( b27*(1.d0+dvdy) + b26*dvdz ) &
537  + s13(igpt,i)*( b27*dvdx + b25*dvdz ) )
538  r27 = r27 + &
539  ( s11(igpt,i)*b25*dwdx + s22(igpt,i)*b26*dwdy+s33(igpt,i)*b27*(1.d0+dwdz) &
540  + s12(igpt,i)*( b26*dwdx + b25*dwdy ) &
541  + s23(igpt,i)*( b27*dwdy + b26*(1.d0 + dwdz) ) &
542  + s13(igpt,i)*( b27*dwdx + b25*(1.d0 + dwdz) ) )
543 
544  r28 = r28 + &
545  ( s11(igpt,i)*b28*(1.d0+dudx) + s22(igpt,i)*b29*dudy+s33(igpt,i)*b30*dudz &
546  + s12(igpt,i)*( b29*(1.d0+dudx) + b28*dudy ) &
547  + s23(igpt,i)*( b30*dudy + b29*dudz ) &
548  + s13(igpt,i)*( b30*(1.d0+dudx) + b28*dudz ) )
549  r29 = r29 + &
550  ( s11(igpt,i)*b28*dvdx + s22(igpt,i)*b29*(1.d0+dvdy)+s33(igpt,i)*b30*dvdz &
551  + s12(igpt,i)*( b28*(1.d0+dvdy) + b29*dvdx ) &
552  + s23(igpt,i)*( b30*(1.d0+dvdy) + b29*dvdz ) &
553  + s13(igpt,i)*( b30*dvdx + b28*dvdz ) )
554  r30 = r30 + &
555  ( s11(igpt,i)*b28*dwdx + s22(igpt,i)*b29*dwdy+s33(igpt,i)*b30*(1.d0+dwdz) &
556  + s12(igpt,i)*( b29*dwdx + b28*dwdy ) &
557  + s23(igpt,i)*( b30*dwdy + b29*(1.d0 + dwdz) ) &
558  + s13(igpt,i)*( b30*dwdx + b28*(1.d0 + dwdz) ) )
559 
560  ENDDO
561 
562  straintrace(i) = straintrace_gauss*0.25d0
563 
564 
565 ! Wi (i.e. weight) for 4 guass point integration is 1/4
566 
567 ! Wi * 1/6 because the volume of a reference tetrahedra in
568 ! volume coordinates is 1/6
569 
570 ! ASSEMBLE THE INTERNAL FORCE VECTOR
571 !
572 ! local node 1
573  r_in(k1n1) = r_in(k1n1) - r1*0.04166666666666667d0
574  r_in(k2n1) = r_in(k2n1) - r2*0.04166666666666667d0
575  r_in(k3n1) = r_in(k3n1) - r3*0.04166666666666667d0
576 ! local node 2
577  r_in(k1n2) = r_in(k1n2) - r4*0.04166666666666667d0
578  r_in(k2n2) = r_in(k2n2) - r5*0.04166666666666667d0
579  r_in(k3n2) = r_in(k3n2) - r6*0.04166666666666667d0
580 ! local node 3
581  r_in(k1n3) = r_in(k1n3) - r7*0.04166666666666667d0
582  r_in(k2n3) = r_in(k2n3) - r8*0.04166666666666667d0
583  r_in(k3n3) = r_in(k3n3) - r9*0.04166666666666667d0
584 ! local node 4
585  r_in(k1n4) = r_in(k1n4) - r10*0.04166666666666667d0
586  r_in(k2n4) = r_in(k2n4) - r11*0.04166666666666667d0
587  r_in(k3n4) = r_in(k3n4) - r12*0.04166666666666667d0
588 ! local node 5
589  r_in(k1n5) = r_in(k1n5) - r13*0.04166666666666667d0
590  r_in(k2n5) = r_in(k2n5) - r14*0.04166666666666667d0
591  r_in(k3n5) = r_in(k3n5) - r15*0.04166666666666667d0
592 ! local node 6
593  r_in(k1n6) = r_in(k1n6) - r16*0.04166666666666667d0
594  r_in(k2n6) = r_in(k2n6) - r17*0.04166666666666667d0
595  r_in(k3n6) = r_in(k3n6) - r18*0.04166666666666667d0
596 ! local node 7
597  r_in(k1n7) = r_in(k1n7) - r19*0.04166666666666667d0
598  r_in(k2n7) = r_in(k2n7) - r20*0.04166666666666667d0
599  r_in(k3n7) = r_in(k3n7) - r21*0.04166666666666667d0
600 ! local node 8
601  r_in(k1n8) = r_in(k1n8) - r22*0.04166666666666667d0
602  r_in(k2n8) = r_in(k2n8) - r23*0.04166666666666667d0
603  r_in(k3n8) = r_in(k3n8) - r24*0.04166666666666667d0
604 ! local node 9
605  r_in(k1n9) = r_in(k1n9) - r25*0.04166666666666667d0
606  r_in(k2n9) = r_in(k2n9) - r26*0.04166666666666667d0
607  r_in(k3n9) = r_in(k3n9) - r27*0.04166666666666667d0
608 ! local node 10
609  r_in(k1n10) = r_in(k1n10) - r28*0.04166666666666667d0
610  r_in(k2n10) = r_in(k2n10) - r29*0.04166666666666667d0
611  r_in(k3n10) = r_in(k3n10) - r30*0.04166666666666667d0
612 
613  statev_part1(i)= maxval(statev_gauss(1:4,1))
614  statev_part2(i)= maxval(statev_gauss(1:4,2))
615 
616  ENDDO
617  RETURN
618 END SUBROUTINE v3d10_nl_huang
619 
huang_const_model
subroutine huang_const_model(dfgrad, matrix, nmatrix, particle, nparticle, nparticletype, interfac, ninterfac, stress, strain, ilarge, ismall)
Definition: HUANG_Const_Model.f90:53
d
const NT & d
Definition: rational_rotation.h:73
v3d10_nl_huang
subroutine v3d10_nl_huang(coor, matcstet, lmcstet, R_in, d, S11, S22, S33, S12, S23, S13, numnp, nstart, nend, numcstet, numat_vol, STATEV_Part1, STATEV_Part2, NSTATEV, MATRIX, NMATRIX, PARTICLE, NPARTICLE, NPARTICLETYPE, INTERFAC, NINTERFAC, StrainTrace)
Definition: v3d10_nl_huang.f90:53
s
double s
Definition: blastest.C:80
i
blockLoc i
Definition: read.cpp:79
cimg_library::CImg::matrix
CImg< T > & matrix()
Realign pixel values of the instance image as a square matrix.
Definition: CImg.h:13343
j
j indices j
Definition: Indexing.h:6