40
41
42
45
46
47
48#include "implicit_f.inc"
49
50
51
52#include "com04_c.inc"
53#include "units_c.inc"
54#include "comlock.inc"
55#include "sms_c.inc"
56
57
58
59 INTEGER :: NEL,NUPARAM,NUVAR,JSMS,NUMTABL,NVARTMP,JTHE
61 INTEGER ,DIMENSION(NEL) ,INTENT(IN) :: NGL
62 INTEGER ,DIMENSION(NUMTABL),INTENT(IN) :: ITABLE
63 my_real ,
DIMENSION(NUPARAM),
INTENT(IN) :: uparam
64 my_real ,
DIMENSION(NEL) ,
INTENT(IN) :: thick,temp,
65 . depszz,depsyz,depszx,
66 . sigozz,sigoyz,sigozx,
area
67
68 my_real ,
DIMENSION(NEL) ,
INTENT(OUT) :: epsd
69 my_real ,
DIMENSION(NEL) ,
INTENT(OUT) ::
70 . signzz,signyz,signzx
71 my_real ,
DIMENSION(NEL) ,
INTENT(INOUT) :: off,pla,stifm,dmels,dmg
72 my_real ,
DIMENSION(NEL,NUVAR) ,
INTENT(INOUT) :: uvar
73 INTEGER ,DIMENSION(NEL,NVARTMP) ,INTENT(INOUT) :: VARTMP
74 TYPE(TTABLE) ,DIMENSION(NTABLE) ,INTENT(IN) :: TABLE
75
76
77
78 INTEGER :: I,II,ITER,NITER,NINDX,NINDF,ITRX,IDAM
80 INTEGER :: IPOS1(NEL,1), IPOS2(NEL,2), IPOS3(NEL,3)
81 INTEGER :: NDIM_YLD,FUNC_YLD
82 my_real :: xvec1(nel,1), xvec2(nel,2), xvec3(nel,3)
83 INTEGER ,DIMENSION(NEL) :: INDX,INDF
84
85 my_real :: young,nu,g,g2,bulk,yld0,qq,beta,hh,c11,c12,
86 . a1f,a2f,as,d1c,d2c,d1f,d2f,d_trx,d_jc,dm,expn
87
88 my_real cc,epsdref,epsdmax,frate,fcut,
alpha,alphai,epsdot
89
90 my_real facr,triax,rvoce,i1p,ip,jp,tp,fact,facd,dfac,dtinv,
91 . dlam,ddep,dfdlam,dyld_dpla,dpla_dlam,dphi_dlam,dtb,
92 . gamc,gamf,np_xx,np_yy,np_zz,np_xy,np_yz,np_zx,
93 . nf_xx,nf_yy,nf_zz,nf_xy,nf_yz,nf_zx,dpxx,dpyy,dpzz,dpxy,dpyz,dpzx
94 my_real ,
DIMENSION(NEL) :: i1,j2,yld,phi,dam,fdam,jcrate,stf,hardp,hardp_i,fvm,
95 . sxx,syy,szz,sxy,syz,szx,dpla,jcr_log,gamma,dgamm,pla_nl,dpdt_nl,yld_i
96
97
98 young = uparam(1)
99 nu = uparam(2)
100 g = uparam(3)
101 bulk = uparam(4)
102
103 yld0 = uparam(5)
104 qq = uparam(6)
105 beta = uparam(7)
106 hh = uparam(8)
107 a1f = uparam(9)
108 a2f = uparam(10)
109
110
111 as = uparam(13)
112
113 d1c = uparam(14)
114 d2c = uparam(15)
115 d1f = uparam(16)
116 d2f = uparam(17)
117 d_trx = uparam(18)
118 d_jc = uparam(19)
119 expn = uparam(20)
120
121 cc = uparam(21)
122 epsdref = uparam(22)
123 epsdmax = uparam(23)
124 fcut = uparam(24)
125
126 itrx = nint(uparam(26))
127 idam = nint(uparam(27))
128
129 xscale = uparam(30)
130 yscale = uparam(31)
131
132 func_yld = itable(1)
133 ndim_yld = table(func_yld)%NDIM
134
135
136
137
138 g2 = g * two
141 dtinv = one / (
max(timestep, em20))
142
143 stf(1:nel) = young *
area(1:nel)
144 stifm(1:nel) = stifm(1:nel) + stf(1:nel)*off(1:nel)
145
146 dam(1:nel) = dmg(1:nel)
147 dpla(1:nel) = zero
148 fdam(1:nel) = one - dam(1:nel)
149 DO i = 1,nel
150 IF (off(i) < 0.001) off(i) = zero
151 IF (off(i) < one) off(i) = off(i)*four_over_5
152 IF (off(i) == one) THEN
153 signzz(i) = sigozz(i)/fdam(i) + (depszz(i) /thick(i) )*young
154 signyz(i) = sigoyz(i)/fdam(i) + (depsyz(i) /thick(i) )*g
155 signzx(i) = sigozx(i)/fdam(i) + (depszx(i) /thick(i) )*g
156 i1(i) = signzz(i)
157
158 sxx(i) = - i1(i) * third
159 syy(i) = - i1(i) * third
160 szz(i) = signzz(i) - i1(i) * third
161 syz(i) = signyz(i)
162 szx(i) = signzx(i)
163 j2(i) = (sxx(i)**2 + syy(i)**2 + szz(i)**2)*half
164 . + syz(i)**2 + szx(i)**2
165 END IF
166 ENDDO
167
168
169 jcrate(1:nel) = one
170 DO i=1,nel
171 IF (off(i) == one) THEN
172 epsdot = sqrt(depsyz(i)**2 + depszx(i)**2 + depszz(i)**2)
173 epsdot = epsdot * dtinv / thick(i)
174 epsd(i) =
min(epsdot ,epsdmax)
175 epsd(i) =
alpha *epsd(i) + alphai * uvar(i,3)
176 uvar(i,3) = epsd(i)
177 IF (epsd(i) > epsdref) THEN
178 jcr_log(i) = log(epsd(i) / epsdref)
179 jcrate(i) = one + cc * jcr_log(i)
180 END IF
181 END IF
182 ENDDO
183
184
185
186 IF (ndim_yld == 1) THEN
187 xvec1(1:nel,1) = pla(1:nel)
188 ipos1(1:nel,1) = vartmp(1:nel,1)
189
190 CALL table_vinterp(table(func_yld),nel,nel,ipos1,xvec1,yld,hardp)
191
192 yld(1:nel) = yld(1:nel) * yscale * jcrate(1:nel)
193 hardp(1:nel) = hardp(1:nel) * yscale * jcrate(1:nel)
194 vartmp(1:nel,1) = ipos1(1:nel,1)
195
196 ELSE IF (ndim_yld == 2) THEN
197 xvec2(1:nel,1) = pla(1:nel)
198 xvec2(1:nel,2) = epsd(1:nel)
199 ipos2(1:nel,1) = vartmp(1:nel,1)
200 ipos2(1:nel,2) = 1
201
202 CALL table_vinterp(table(func_yld),nel,nel,ipos2,xvec2,yld,hardp)
203
204 yld(1:nel) = yld(1:nel) * yscale
205 hardp(1:nel) = hardp(1:nel) * yscale
206 vartmp(1:nel,1) = ipos2(1:nel,1)
207
208 ELSE
209 xvec3(1:nel,1) = pla(1:nel)
210 xvec3(1:nel,2) = epsd(1:nel)
211 IF (jthe > 0) THEN
212 xvec3(1:nel,3) = temp(1:nel)
213 ELSE
214 xvec3(1:nel,3) = zero
215 END IF
216 ipos3(1:nel,1) = vartmp(1:nel,1)
217 ipos3(1:nel,2) = 1
218 ipos3(1:nel,3) = 1
219
220 CALL table_vinterp(table(func_yld),nel,nel,ipos3,xvec3,yld,hardp)
221
222 yld(1:nel) = yld(1:nel) * yscale
223 hardp(1:nel) = hardp(1:nel) * yscale
224 vartmp(1:nel,1) = ipos3(1:nel,1)
225
226 END IF
227
228 DO i = 1,nel
229 fvm(i) =
max(zero, i1(i) + half*sqr3*a1f*yld0 / a2f )
230 phi(i) = j2(i) + third*a2f * fvm(i)**2
231 . - (yld(i)**2 + fourth*(a1f*yld0)**2/a2f)
232 ENDDO
233
234
235
236 nindx = 0
237 nindf = 0
238 DO i = 1,nel
239 IF (phi(i) > zero .and. off(i) == one) THEN
240 nindx = nindx + 1
241 indx(nindx) = i
242 END IF
243 ENDDO
244
245 IF (nindx > 0) THEN
246
247 niter = 4
248 dpla(1:nel) = zero
249
250 DO iter = 1,niter
251
252 DO ii = 1,nindx
253 i = indx(ii)
254
255
256 i1p =
max(zero, i1(i))
257 jp = third * as * i1p
258 tp = two * jp
259
260 np_xx = sxx(i)
261 np_yy = syy(i)
262 np_zz = szz(i) + tp
263 np_yz = syz(i)
264 np_zx = szx(i)
265
266
267 ip = two_third * a2f * fvm(i)
268 nf_xx = sxx(i)
269 nf_yy = syy(i)
270 nf_zz = szz(i) + ip
271 nf_yz = syz(i)
272 nf_zx = szx(i)
273
274
275 dfdlam = - nf_zz * (young * np_zz)
276 . -( nf_yz*np_yz + nf_zx*np_zx)*two*g2
277
278 dpla_dlam = two*sqrt((j2(i) + tp*as*i1(i)))
279 dphi_dlam = dfdlam - two*yld(i)*hardp(i)*dpla_dlam
280
281 dlam = -phi(i) / dphi_dlam
282
283
284
285 dpzz = dlam*np_zz
286 dpyz = dlam*np_yz
287 dpzx = dlam*np_zx
288
289
290 signzz(i) = signzz(i) - young*dpzz
291 signyz(i
292 signzx(i) = signzx(i) - g2*dpzx
293
294
295 ddep = dlam * dpla_dlam
296 dpla(i)=
max(zero, dpla(i) + ddep)
297 pla(i) = pla(i) + ddep
298 ENDDO
299
300
301
302
303 IF (ndim_yld == 1) THEN
304 DO ii = 1, nindx
305 i = indx(ii)
306 xvec1(ii,1) = pla(i)
307 ipos1(ii,1) = vartmp(i,1)
308 ENDDO
309
310 CALL table_vinterp(table(func_yld),nel,nel,ipos1,xvec1,yld_i,hardp_i)
311
312 DO ii = 1, nindx
313 i = indx(ii)
314 yld(i) = yld_i(ii)*yscale
315 hardp(i) = hardp_i(ii)*yscale
316 vartmp(i,1) = ipos1(ii,1)
317 ENDDO
318
319 ELSE IF (ndim_yld == 2) THEN
320 DO ii = 1, nindx
321 i = indx(ii)
322 xvec2(ii,1) = pla(i)
323 xvec2(ii,2) = epsd(i)
324 ipos2(ii,1) = vartmp(i,1)
325 ENDDO
326
327 CALL table_vinterp(table(func_yld),nel,nindx,ipos2,xvec2,yld_i,hardp_i)
328
329 DO ii = 1, nindx
330 i = indx(ii)
331 yld(i) = yld_i(ii)*yscale
332 hardp(i) = hardp_i(ii)*yscale
333 vartmp(i,1) = ipos2(ii,1)
334 ENDDO
335
336 ELSE
337 DO ii = 1, nindx
338 i = indx(ii)
339 xvec3(ii,1) = pla(i)
340 xvec3(ii,2) = epsd(i)
341 xvec3(ii,3) = temp(i)
342 ipos3(ii,1) = vartmp(i,1)
343 ENDDO
344
345 CALL table_vinterp(table(func_yld),nel,nel,ipos3,xvec3,yld_i,hardp_i)
346
347 DO ii = 1, nindx
348 i = indx(ii)
349 yld(i) = yld_i(ii)*yscale
350 hardp(i) = hardp_i(ii
351 vartmp(i,1) = ipos3(ii,1)
352 ENDDO
353 END IF
354
355
356
357 DO ii = 1,nindx
358 i = indx(ii)
359 i1(i) = signzz(i)
360 sxx(i) = - i1(i)*third
361 syy(i) = - i1(i)*third
362 szz(i) = signzz(i) - i1(i)*third
363 syz(i) = signyz(i)
364 szx(i) = signzx(i)
365 j2(i) =(sxx(i)**2 + syy(i)**2 + szz(i)**2 ) * half
366 . + syz(i)**2 + szx(i)**2
367 fvm(i) =
max(zero, i1(i) + half*sqr3*a1f*yld0 / a2f )
368 phi(i) = j2(i) + third*a2f * fvm(i)**2
369 . - (yld(i)**2 + fourth*(a1f*yld0)**2/a2f)
370 uvar(i,4) = phi(i) / yld(i)**2
371 END DO
372
373 END DO
374
375 END IF
376
377
378
379 IF (idam > 0) THEN
380 IF (idam == 1) THEN
381 dgamm(1:nel) = dpla(1:nel)
382 gamma(1:nel) = pla(1:nel)
383 ELSE
384 dgamm(1:nel) = dpla(1:nel) * fdam(1:nel)
385 uvar(1:nel,1) = uvar(1:nel,1) + dgamm(1:nel)
386 gamma(1:nel) = uvar(1:nel,1)
387 END IF
388
389 DO ii = 1,nindx
390 i = indx(ii)
391
392 triax = zero
393 fact = one
394 facr = one + d_jc * jcr_log(i)
395 IF ( j2(i)/= zero)triax = third * i1(i) / sqrt(three*j2(i))
396 IF (itrx == 1 ) THEN
397 fact = exp(-d_trx*triax)
398 ELSE
399 IF (triax > zero )fact = exp(-d_trx*triax)
400 ENDIF
401 gamc = (d1c + d2c * fact) * facr
402 gamf = (d1f + d2f * fact) * facr
403 IF (gamma(i) > gamc) THEN
404 IF (dam(i) == zero) THEN
405 nindf = nindf + 1
406 indf(nindf) = i
407 END IF
408 IF (expn == one) THEN
409 dam(i) = dam(i) + dgamm(i) / (gamf - gamc)
410 ELSE
411 dfac = (gamma(i) - gamc) / (gamf - gamc)
412 dam(i) = dam(i) + expn * dfac**(expn-one) * dgamm(i) / (gamf - gamc)
413 END IF
414 IF (dam(i) >= one) THEN
415 dam(i) = one
416 off(i) = four_over_5
417 END IF
418 dmg(i) = dam(i)
419 END IF
420 ENDDO
421
422 DO i = 1, nel
423 facd = one - dam(i)
424 signzz(i) = signzz(i) * facd
425 signyz(i) = signyz(i) * facd
426 signzx(i) = signzx(i) * facd
427 END DO
428 END IF
429
430 IF (nindf > 0) THEN
431 DO ii=1,nindf
432#include "lockon.inc"
433 WRITE(iout, 1000) ngl(indf(ii))
434 WRITE(istdo,1100) ngl(indf(ii)),time
435#include "lockoff.inc"
436 ENDDO
437 END IF
438
439 1000 FORMAT(1x,'START DAMAGE IN SOLID ELEMENT NUMBER ',i10)
440 1100 FORMAT(1x,'START DAMAGE IN SOLID ELEMENT NUMBER ',i10,1x,' AT TIME :',g11.4)
441
442
443
444 IF (idtmins==2 .AND. jsms/=0 ) THEN
445 dtb = (dtmins/dtfacs)**2
446 DO i=1,nel
447 dmels(i)=
max(dmels(i),half*dtb*stf(i)*off(i))
448 ENDDO
449 ENDIF
450
451 RETURN
subroutine area(d1, x, x2, y, y2, eint, stif0)