34 . DT_NL ,X ,XREFC ,NFT ,
35 . NEL ,NG ,IPM ,BUFMAT ,
46#include "implicit_f.inc"
57 TYPE(elbuf_struct_),
TARGET,
DIMENSION(NGROUP) :: ELBUF_TAB
58 TYPE (NLOCAL_STR_) ,
TARGET :: NLOC_DMG
59 INTEGER IXC(NIXC,*),NFT,NEL,NG,IPM(NPROPMI,*)
60 my_real ,
DIMENSION(NUMELC+NUMELTG),
INTENT(IN) ::
63 . x(3,*),xrefc(4,3,*),dt_nl,bufmat(*),time
68 INTEGER :: IMAT,NDOF,L_NLOC,N1,N2,N3,N4,K,I,NDNOD
69 INTEGER,
DIMENSION(NEL) :: POS1,POS2,POS3,POS4
71 . le_min,len,damp,dens
72 . ntvar,z01(11,11),wf1(11,11),zn1(12,11),b1,b2,
74 my_real,
DIMENSION(:,:),
ALLOCATABLE :: var_reg,vpred
76 .
DIMENSION(:),
POINTER :: fnl,unl,vnl,dnl,mnl,thck
77 my_real,
DIMENSION(NEL) :: x1,x2,x3,x4,
78 . y1,y2,y3,y4,px1,px2,py1,py2,e1x,e2x,e3x,
79 . e1y,e2y,e3y,e1z,e2z,e3z,x2l,y2l,x3l,y3l,
80 . x4l,y4l,z1,z2,z3,z4,surf,offg,vols,btb11,
82 TYPE(buf_nloc_),
POINTER :: BUFNL
83 my_real
DIMENSION(:,:),
POINTER ::
84 . MASSTH,FNLTH,VNLTH,UNLTH
87 1 0. ,0. ,0. ,0. ,0. ,
88 1 0. ,0. ,0. ,0. ,0. ,0. ,
89 2 -.5 ,0.5 ,0. ,0. ,0. ,
90 2 0. ,0. ,0. ,0. ,0. ,0. ,
91 3 -.5 ,0. ,0.5 ,0. ,0. ,
92 3 0. ,0. ,0. ,0. ,0. ,0. ,
93 4 -.5 ,-.1666667,0.1666667,0.5 ,0. ,
94 4 0. ,0. ,0. ,0. ,0. ,0. ,
95 5 -.5 ,-.25 ,0. ,0.25 ,0.5 ,
96 5 0. ,0. ,0. ,0. ,0. ,0. ,
97 6 -.5 ,-.3 ,-.1 ,0.1 ,0.3 ,
98 6 0.5 ,0. ,0. ,0. ,0. ,0. ,
99 7 -.5 ,-.3333333,-.1666667,0.0 ,0.1666667,
100 7 0.3333333,0.5 ,0. ,0. ,0. ,0. ,
101 8 -.5 ,-.3571429,-.2142857,-.0714286,0.0714286,
102 8 0.2142857,0.3571429,0.5 ,0. ,0. ,0. ,
103 9 -.5 ,-.375 ,-.25 ,-.125 ,0.0 ,
104 9 0.125 ,0.25 ,0.375 ,0.5 ,0. ,0. ,
105 a -.5 ,-.3888889,-.2777778,-.1666667,-.0555555,
106 a 0.0555555,0.1666667,0.2777778,0.3888889,0.5 ,0. ,
107 b -.5 ,-.4 ,-.3 ,-.2 ,-.1 ,
108 b 0. ,0.1 ,0.2 ,0.3 ,0.4 ,0.5 /
111 1 1. ,0. ,0. ,0. ,0. ,
112 1 0. ,0. ,0. ,0. ,0. ,0. ,
113 2 0.5 ,0.5 ,0. ,0. ,0. ,
114 2 0. ,0. ,0. ,0. ,0. ,0. ,
115 3 0.25 ,0.5 ,0.25 ,0. ,0. ,
116 3 0. ,0. ,0. ,0. ,0. ,0. ,
117 4 0.1666667,0.3333333,0.3333333,0.1666667,0. ,
118 4 0. ,0. ,0. ,0. ,0. ,0. ,
119 5 0.125 ,0.25 ,0.25 ,0.25 ,0.125 ,
120 5 0. ,0. ,0. ,0. ,0. ,0. ,
121 6 0.1 ,0.2 ,0.2 ,0.2 ,0.2 ,
122 6 0.1 ,0. ,0. ,0. ,0. ,0. ,
123 7 0.0833333,0.1666667,0.1666667,0.1666667,0.1666667,
124 7 0.1666667,0.0833333,0. ,0. ,0. ,0. ,
125 8 0.0714286,0.1428571,0.1428571,0.1428571,0.1428571,
126 8 0.1428571,0.1428571,0.0714286,0. ,0. ,0. ,
127 9 0.0625 ,0.125 ,0.125 ,0.125 ,0.125 ,
128 9 0.125 ,0.125 ,0.125 ,0.0625 ,0. ,0. ,
129 a 0.0555556,0.1111111,0.1111111,0.1111111,0.1111111,
130 a 0.1111111,0.1111111,0.1111111,0.1111111,0.0555556,0. ,
131 b 0.05 ,0.1 ,0.1 ,0.1 ,0.1 ,
132 b 0.1 ,0.1 ,0.1 ,0.1 ,0.1 ,0.05 /
135 1 0. ,0. ,0. ,0. ,0. ,0. ,
136 1 0. ,0. ,0. ,0. ,0. ,0. ,
137 2 -.5 ,0.5 ,0. ,0. ,0. ,0. ,
138 2 0. ,0. ,0. ,0. ,0. ,0. ,
139 3 -.5 ,-.25 ,0.25 ,0.5 ,0. ,0. ,
140 3 0. ,0. ,0. ,0. ,0. ,0. ,
141 4 -.5 ,-.3333333,0. ,0.3333333,0.5 ,0. ,
142 4 0. ,0. ,0. ,0. ,0. ,0. ,
143 5 -.5 ,-.375 ,-0.125 ,0.125 ,0.375 ,0.5 ,
144 5 0. ,0. ,0. ,0. ,0. ,0. ,
145 6 -.5 ,-.4 ,-.2 ,0.0 ,0.2 ,0.4 ,
146 6 0.5 ,0. ,0. ,0. ,0. ,0. ,
147 7 -.5 ,-.4166667,-.25 ,-.0833333,0.0833333,0.25 ,
148 7 0.4166667,0.5 ,0. ,0. ,0. ,0. ,
149 8 -.5 ,-.4285715,-.2857143,-.1428572,0.0 ,0.1428572,
150 8 0.2857143,0.4285715,0.5 ,0. ,0. ,0. ,
151 9 -.5 ,-.4375 ,-.3125 ,-.1875 ,-.0625 ,0.0625 ,
152 9 0.1875 ,0.3125 ,0.4375 ,0.5 ,0. ,0. ,
153 a -.5 ,-.4444444,-.3333333,-.2222222,-.1111111,0. ,
154 a 0.1111111,0.2222222,0.3333333,0.4444444,0.5 ,0. ,
155 b -.5 ,-.45 ,-.35 ,-.25 ,-.15 ,-.05 ,
156 b 0.05 ,0.15 ,0.25 ,0.35 ,0.45 ,0.5 /
159 l_nloc = nloc_dmg%L_NLOC
161 fnl => nloc_dmg%FNL(1:l_nloc,1)
162 vnl => nloc_dmg%VNL(1:l_nloc)
163 dnl => nloc_dmg%DNL(1:l_nloc)
164 unl => nloc_dmg%UNL(1:l_nloc)
165 mnl => nloc_dmg%MASS(1:l_nloc)
169 le_min = sqrt(minval(
area(nft+1:nft+nel)))
171 ndof = elbuf_tab(ng)%BUFLY(1)%NPTT
173 thck => elbuf_tab(ng)%GBUF%THK(1:nel)
176 le_min =
min(le_min,minval(thck(1:nel))/ndof)
179 len = nloc_dmg%LEN(imat)
181 le_max = nloc_dmg%LE_MAX(imat)
183 damp = nloc_dmg%DAMP(imat)
185 dens = nloc_dmg%DENS(imat)
187 sspnl = nloc_dmg%SSPNL(imat)
189 dt_nl =
min(dt_nl,0.5d0*((two*
min(le_min,le_max)*sqrt(three*dens))/
190 . (sqrt(twelve*(len**2)+(
min(le_min,le_max)**2)))))
194 ALLOCATE(vpred(nel,ndof+1))
197 ALLOCATE(vpred(nel,ndof))
202 IF (.NOT.
ALLOCATED(var_reg))
ALLOCATE(var_reg(nel,ndof))
205# include "vectorize.inc"
209 x1(i)=x(1,ixc(2,nft+i))
210 y1(i)=x(2,ixc(2,nft+i))
211 z1(i)=x(3,ixc(2,nft+i))
212 x2(i)=x(1,ixc(3,nft+i))
213 y2(i)=x(2,ixc(3,nft+i))
214 z2(i)=x(3,ixc(3,nft+i))
215 x3(i)=x(1,ixc(4,nft+i))
216 y3(i)=x(2,ixc(4,nft+i))
217 z3(i)=x(3,ixc(4,nft+i))
218 x4(i)=x(1,ixc(5,nft+i))
219 y4(i)=x(2,ixc(5,nft+i))
220 z4(i)=x(3,ixc(5,nft+i))
222 x1(i)=xrefc(1,1,nft+i)
223 y1(i)=xrefc(1,2,nft+i)
224 z1(i)=xrefc(1,3,nft+i)
225 x2(i)=xrefc(2,1,nft+i)
226 y2(i)=xrefc(2,2,nft+i)
227 z2(i)=xrefc(2,3,nft+i)
228 x3(i)=xrefc(3,1,nft+i)
229 y3(i)=xrefc(3,2,nft+i)
230 z3(i)=xrefc(3,3,nft+i)
231 x4(i)=xrefc(4,1,nft+i)
232 y4(i)=xrefc(4,2,nft+i)
233 z4(i)=xrefc(4,3,nft+i)
237 n1 = nloc_dmg%IDXI(ixc(2,nft+i))
238 n2 = nloc_dmg%IDXI(ixc(3,nft+i))
239 n3 = nloc_dmg%IDXI(ixc(4,nft+i))
240 n4 = nloc_dmg%IDXI(ixc(5,nft+i))
242 pos1(i) = nloc_dmg%POSI(n1)
243 pos2(i) = nloc_dmg%POSI(n2)
244 pos3(i) = nloc_dmg%POSI(n3)
245 pos4(i) = nloc_dmg%POSI(n4)
253 var_reg(i,k) = fourth*(dnl(pos1(i)+k-1) + dnl(pos2(i)+k-1)
254 . + dnl(pos3(i)+k-1) + dnl(pos4(i)+k-1))
259 . x1 ,x2 ,x3 ,x4 ,y1 ,y2 ,
260 . y3 ,y4 ,z1 ,z2 ,z3 ,z4 ,
261 . e1x ,e2x ,e3x ,e1y ,e2y ,e3y ,
266 . bufmat ,time ,var_reg ,
273# include "vectorize.inc"
277 x2l(i) = e1x(i)*(x2(i)-x1(i))+e1y(i)*(y2(i)-y1(i))+e1z(i)*(z2(i)-z1(i))
278 y2l(i) = e2x(i)*(x2(i)-x1(i))+e2y(i)*(y2(i)-y1(i))+e2z(i)*(z2(i)-z1(i))
279 x3l(i) = e1x(i)*(x3(i)-x1(i))+e1y(i)*(y3(i)-y1(i))+e1z(i)*(z3(i)-z1(i))
280 y3l(i) = e2x(i)*(x3(i)-x1(i))+e2y(i)*(y3(i)-y1(i))+e2z(i)*(z3(i)-z1(i))
281 x4l(i) = e1x(i)*(x4(i)-x1(i))+e1y(i)*(y4(i)-y1(i))+e1z(i)*(z4(i)-z1(i))
282 y4l(i) = e2x(i)*(x4(i)-x1(i))+e2y(i)*(y4(i)-y1(i))+e2z(i)*(z4(i)-z1(i))
284 px1(i) = half *(y2l(i)-y4l(i))
285 px2(i) = half * y3l(i)
286 py1(i) = -half *(x2l(i)-x4l(i))
287 py2(i) = -half * x3l(i)
290 btb11(i) = px1(i)**2 + py1(i)**2
291 btb12(i) = px1(i)*px2(i) + py1(i)*py2(i)
292 btb22(i) = px2(i)**2 + py2(i)**2
295 vols(i) =
area(nft+i)*thck(i)
298 offg(i) = elbuf_tab(ng)%GBUF%OFF(i)
306 IF ((ndof > 1).AND.(len>zero))
THEN
309 bufnl => elbuf_tab(ng)%NLOC(1,1)
312 massth => bufnl%MASSTH(1:nel,1:ndnod)
313 unlth => bufnl%UNLTH(1:nel ,1:ndnod)
314 vnlth => bufnl%VNLTH(1:nel ,1:ndnod)
315 fnlth => bufnl%FNLTH(1:nel ,1:ndnod)
320 vpred(i,k) = vnlth(i,k) - (fnlth(i,k)/massth(i,k))*(dt_nl/two)
334 IF ((ndof==2).AND.(k==2))
THEN
335 nth1 = (z01(k,ndof) - zn1(k,ndof))/(zn1(k-1,ndof) - zn1(k,ndof))
336 nth2 = (z01(k,ndof) - zn1(k-1,ndof)) /(zn1(k,ndof) - zn1(k-1,ndof))
338 nth1 = (z01(k,ndof) - zn1(k+1,ndof))/(zn1(k,ndof) - zn1(k+1,ndof))
339 nth2 = (z01(k,ndof) - zn1(k,ndof)) /(zn1(k+1,ndof) - zn1(k,ndof))
345 IF ((ndof==2).AND.(k==2))
THEN
346 bth1 = (one/(zn1(k-1,ndof) - zn1(k,ndof)))*(one/thck(i))
347 bth2 = (one/(zn1(k,ndof) - zn1(k-1,ndof)))*(one/thck(i))
349 bth1 = (one/(zn1(k,ndof) - zn1(k+1,ndof)))*(one/thck(i))
350 bth2 = (one/(zn1(k+1,ndof) - zn1(k,ndof)))*(one/thck(i))
354 k1 = (len**2)*(bth1**2) + nth1**2
355 k12 = (len**2)*(bth1*bth2)+ (nth1*nth2)
356 k2 = (len**2)*(bth2**2) + nth2**2
359 IF ((ndof==2).AND.(k==2))
THEN
360 fnlth(i,k-1) = fnlth(i,k-1) + (k1*unlth(i,k-1) + k12*unlth(i,k)
361 . + damp*((nth1**2)*vpred(i,k-1)
363 . - (nth1*var_reg(i,k)))*vols(i)*wf1(k,ndof)
364 fnlth(i,k) = fnlth(i,k) + (k12*unlth(i,k-1) + k2*unlth(i,k)
365 . + damp*(nth1*nth2*vpred(i,k-1)
366 . + (nth2**2)*vpred(i,k))
367 . - nth2*var_reg(i,k))*vols(i)*wf1(k,ndof)
369 fnlth(i,k) = fnlth(i,k) + (k1*unlth(i,k) + k12*unlth(i,k+1)
370 . + damp*((nth1**2)*vpred(i,k)
371 . + (nth1*nth2)*vpred(i
372 . - (nth1*var_reg(i,k)))*vols
373 fnlth(i,k+1) = fnlth(i,k+1) + (k12*unlth(i,k) + k2*unlth(i,k+1)
374 . + damp*(nth1*nth2*vpred(i,k)
375 . + (nth2**2)*vpred(i,k+1))
376 . - nth2*var_reg(i,k))*vols(i)*wf1(k,ndof)
384 vnlth(i,k) = vnlth(i,k) - (fnlth(i,k)/massth(i,k))*dt_nl
391 unlth(i,k) = unlth(i,k) + vnlth(i,k)*dt_nl
398 IF ((ndof==2).AND.(k==2))
THEN
399 nth1 = (z01(k,ndof) - zn1(k,ndof))/(zn1(k-1,ndof) - zn1(k,ndof))
400 nth2 = (z01(k,ndof) - zn1(k-1,ndof)) /(zn1(k,ndof) - zn1(k-1,ndof))
402 nth1 = (z01(k,ndof) - zn1(k+1,ndof))/(zn1(k,ndof) - zn1(k+1,ndof))
403 nth2 = (z01(k,ndof) - zn1(k,ndof)) /(zn1(k+1,ndof) - zn1(k,ndof))
408 IF ((ndof==2).AND.(k==2))
THEN
409 var_reg(i,k) = nth1*unlth(i,k-1) + nth2*unlth(i
411 var_reg(i,k) = nth1*unlth(i,k) + nth2*unlth(i,k+1)
424# include "vectorize.inc"
428 IF (offg(i) > zero)
THEN
430 b1 = ((len**2)/vols(i))*wf1(k,ndof)*(btb11(i)*unl(pos1(i)+k-1) + btb12(i)*unl(pos2(i)+k-1)
431 . - btb11(i)*unl(pos3(i)+k-1) - btb12(i)*unl(pos4(i)+k-1))
432 b2 = ((len**2)/vols(i))*wf1(k,ndof)*(btb12(i)*unl(pos1(i)+k-1) + btb22(i)*unl(pos2(i)+k-1)
433 . - btb12(i)*unl(pos3(i)+k-1) - btb22(i)*unl(pos4(i)+k-1))
434 b3 = ((len**2)/vols(i))*wf1(k,ndof)*(-btb11(i)*unl(pos1(i)+k-1) - btb12(i)*unl(pos2(i)+k-1)
435 . + btb11(i)*unl(pos3(i)+k-1) + btb12(i)*unl(pos4(i)+k-1))
436 b4 = ((len**2)/vols(i))*wf1(k,ndof)*(-btb12(i)*unl(pos1(i)+k-1) - btb22(i)*unl(pos2(i)+k-1)
437 . + btb12(i)*unl(pos3(i)+k-1) + btb22(i)*unl(pos4(i)+k-1))
439 ntn_unl = ((unl(pos1(i)+k-1) + unl(pos2(i)+k-1) + unl(pos3(i)+k-1) +
440 . unl(pos4(i)+k-1))*fourth*fourth)*vols(i)*wf1(k,ndof)
442 ntn_vnl = ((vnl(pos1(i)+k-1) + vnl(pos2(i)+k-1) + vnl(pos3(i)+k-1) +
443 . vnl(pos4(i)+k-1))*fourth*fourth)*damp*vols(i)*wf1(k,ndof)
445 ntvar = var_reg(i,k)*fourth*vols(i)*wf1(k,ndof)
447 fnl(pos1(i)+k-1) = fnl(pos1(i)+k-1) - (ntn_unl + ntn_vnl - ntvar + b1)
448 fnl(pos2(i)+k-1) = fnl(pos2(i)+k-1) - (ntn_unl + ntn_vnl - ntvar + b2)
449 fnl(pos3(i)+k-1) = fnl(pos3(i)+k-1) - (ntn_unl + ntn_vnl - ntvar + b3)
450 fnl(pos4(i)+k-1) = fnl(pos4(i)+k-1) - (ntn_unl + ntn_vnl - ntvar + b4)
454 fnl(pos1(i)+k-1) = fnl(pos1(i)+k-1) - wf1(k,ndof)*dens*sspnl*vnl(pos1(i)+k-1)*le_max*thck(i)
455 fnl(pos2(i)+k-1) = fnl(pos2(i)+k-1) - wf1(k,ndof)*dens*sspnl*vnl(pos2(i)+k-1)*le_max*thck(i)
456 fnl(pos3(i)+k-1) = fnl(pos3(i)+k-1) - wf1(k,ndof)*dens*sspnl*vnl(pos3(i)+k-1)*le_max*thck(i)
457 fnl(pos4(i)+k-1) = fnl(pos4(i)+k-1) - wf1(k,ndof)*dens*sspnl*vnl(pos4(i)+k-1)*le_max*thck(i)
462 IF (
ALLOCATED(var_reg))
DEALLOCATE(var_reg)
463 IF (
ALLOCATED(vpred))
DEALLOCATE(vpred)