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incre4

  1. C INCRE4    SOURCE    CB215821  16/04/21    21:17:09     8920
  2.        SUBROUTINE INCRE4(SIG,VAR,EPSVPT,VARPT,XMAT,ALFA,NSTRS0,
  3.      &                                          NVARI,NCOMAT)
  4.       IMPLICIT INTEGER(I-N)
  5.        IMPLICIT REAL*8(A-H,O-Z)
  6.        DIMENSION SIG(*),VAR(*),EPSVPT(*),VARPT(*),XMAT(*)
  7.        DIMENSION SM(4),SB(4),XXM1(4),XXB1(4),XXM2(4),XXB2(4)
  8.        DIMENSION GAMM(4),GABB(4),EPMM(4),EPBB(4),XXM(4),XXB(4)
  9.        DIMENSION ANSM(4),ANSB(4),ANM(4),ANB(4)
  10.        DIMENSION EPS0(8)
  11.        PARAMETER (AMAX = 1.0E20)
  12.        DETIER=2.0D0/3.0D0
  13.        ROOT=SQRT(1.5D0)
  14. C-------------------------------------------------------------------|
  15. C STEP-1  SEPARATING MEMBRANE & BENDING PARTS                       |
  16. C-------------------------------------------------------------------I
  17.        NSTRS = NSTRS0+2
  18.        NS    = NSTRS/2
  19.        SM(1)=SIG(1)
  20.        SM(2)=SIG(2)
  21.        SM(3)=0.0D0
  22.        IF (NS.EQ.4) SM(4)=SIG(3)
  23.        SB(1)=SIG(NS)
  24.        SB(2)=SIG(NS+1)
  25.        SB(3)=0.0D0
  26.        IF (NS.EQ.4) SB(4)=SIG(NS+2)
  27.        DO 20 I=1,NS
  28.        XXM1(I) = VAR(     I)
  29.        XXM2(I) = VAR(2*NS+I)
  30.        XXB1(I) = VAR(  NS+I)
  31.        XXB2(I) = VAR(3*NS+I)
  32.        GAMM(I) = VAR(4*NS+I)
  33.        GABB(I) = VAR(5*NS+I)
  34.        EPMM(I) = VAR(6*NS+I)
  35.        EPBB(I) = VAR(7*NS+I)
  36.    20  CONTINUE
  37. C-------------------------------------------------------------------|
  38. C STEP-2: EVALUATION OF J2 SIGMA - X                                |
  39. C-------------------------------------------------------------------I
  40.        XXM(1)= (2.D0*SM(1) -SM(2))/3.D0 -XXM1(1) -XXM2(1)
  41.        XXM(2)= (2.D0*SM(2) -SM(1))/3.D0 -XXM1(2) -XXM2(2)
  42.        XXM(3)= -1.D0*(SM(1)+SM(2))/3.D0 -XXM1(3) -XXM2(3)
  43.        XXM(4)=0.0D0
  44.        IF(NS.EQ.4) XXM(4)= SM(4) -XXM1(4) -XXM2(4)
  45.        XXB(1)= (2.D0*SB(1) -SB(2))/3.D0 -XXB1(1) -XXB2(1)
  46.        XXB(2)= (2.D0*SB(2) -SB(1))/3.D0 -XXB1(2) -XXB2(2)
  47.        XXB(3)= -1.D0*(SB(1)+SB(2))/3.D0 -XXB1(3) -XXB2(3)
  48.        XXB(4)=0.0D0
  49.        IF(NS.EQ.4) XXB(4)= SB(4) -XXB1(4) -XXB2(4)
  50. *       T1   = XXM(1)*XXM(1) + XXM(2)*XXM(2) + XXM(1)*XXM(2)
  51. *       IF(NS.EQ.4) T1 = T1 + XXM(4)*XXM(4)
  52.        T1 = PROCON(XXM,XXM,NS)
  53.        AJM2 = 3.0D0*T1/2.D0
  54. *       T1   = XXB(1)*XXB(1) + XXB(2)*XXB(2) + XXB(1)*XXB(2)
  55. *       IF(NS.EQ.4) T1 = T1 + XXB(4)*XXB(4)
  56.        T1 = PROCON(XXB,XXB,NS)
  57.        AJB2 = 3.0D0*T1/2.D0
  58.        AJ2  = SQRT( AJM2 + ALFA*ALFA*AJB2 )
  59. C--------------------------------------------------------------------|
  60. C STEP-3: CALCUL OF SIGV/K                                           |
  61. C -------------------------------------------------------------------I
  62.        RR = VAR (4*NSTRS+2)
  63.        RS = XMAT(10)*RR
  64.        SK = (AJ2 - RS-XMAT(7))/( XMAT(8) + XMAT(9)*RR )
  65. C--------------------------------------------------------------------|
  66. C STEP-4: CALCULATION OF EFFECTIVE INELASTIC STRAIN INCREMENT (P)    |
  67. C -------------------------------------------------------------------I
  68.        IF (SK.GT.0.0D0) THEN
  69.        PPT1= XPUISS(SK,XMAT(6)  ,AMAX)
  70.        PPT2= XPUISS(SK,XMAT(6)+1,AMAX)
  71.        ELSE
  72.        PPT1= 0.0D0
  73.        PPT2= 0.0D0
  74.        ENDIF
  75.        T1  = XMAT(5)*PPT2
  76.        PPT2=1.0D20
  77.        IF(ABS(T1).LT.40.0D0) PPT2= EXP(T1)
  78.        PPT = PPT1 * PPT2
  79.        VARPT(4*NSTRS+1) = PPT
  80. C---------------------------------------------------------------------|
  81. C*******  CALCULATION OF INELASTIC STRAIN INCREMENTS  (EPSV0)         |
  82. C---------------------------------------------------------------------I
  83.        IF(AJ2.EQ.0.0D0) AJ2=1.0D-20
  84.        T1      = 1.5D0*PPT/AJ2
  85.        EPS0(1) = T1*XXM(1)
  86.        EPS0(2) = T1*XXM(2)
  87.        EPS0(3) = T1*XXM(3)
  88.        IF(NS.EQ.4) EPS0(4)= T1*XXM(4)
  89.        EPS0(NS+1) = T1*XXB(1) *ALFA *ALFA
  90.        EPS0(NS+2) = T1*XXB(2) *ALFA *ALFA
  91.        EPS0(NS+3) = T1*XXB(3) *ALFA *ALFA
  92.        IF(NS.EQ.4) EPS0(NS+4)= T1*XXB(4) *ALFA*ALFA
  93.        DO 30 I=1,NSTRS
  94.  30    VARPT(3*NSTRS+I)=EPS0(I)
  95. C
  96. C----------------------------------------------------------------|
  97. C ******* CALCULATION OF PI(P)                                   |
  98. C----------------------------------------------------------------I
  99.        P  = VAR(4*NSTRS+1)
  100.        T1 = XMAT(16)*P
  101.        T2 = EXP(-T1)
  102.        PIP= XMAT(13)+(1.0D0-XMAT(13)) * T2
  103. C----------------------------------------------------------------|
  104. C*******  CALCULATION OF XII                                     |
  105. C----------------------------------------------------------------I
  106. C   CORRECTIONS MLR 26/2/93   COMME DANS INCRE2
  107. C
  108. *       T1   = 3.0D0*(XXM1(1)*XXM1(1)+XXM1(2)*XXM1(2)+XXM1(1)*XXM1(2))
  109. *       IF(NS.EQ.4) T1 = T1 + 3.0D0 * XXM1(4) * XXM1(4)
  110.        T1=PROCON(XXM1,XXM1,NS)
  111.        T1=3.D0*T1/2.D0
  112. *       T2   = 3.0D0*(XXB1(1)*XXB1(1)+XXB1(2)*XXB1(2)+XXB1(1)*XXB1(2))
  113. *        IF(NS.EQ.4) T2 = T2 + 3.0D0 * XXB1(4) * XXB1(4)
  114.        T2=PROCON(XXB1,XXB1,NS)
  115.        T2=3.D0*T2/2.D0
  116.        X1II = 0.D0
  117.        IF(XMAT(17).NE.0.D0)
  118.      . X1II = SQRT(T1+ALFA*ALFA*T2)/XMAT(17)
  119. *       T1   = 3.0D0*(XXM2(1)*XXM2(1)+XXM2(2)*XXM2(2)+XXM2(1)*XXM2(2))
  120. *       IF(NS.EQ.4) T1 = T1 + 3.0D0 * XXM2(4) * XXM2(4)
  121.        T1=PROCON(XXM2,XXM2,NS)
  122.        T1=3.D0*T1/2.D0
  123. *       T2   = 3.0D0*(XXB2(1)*XXB2(1)+XXB2(2)*XXB2(2)+XXB2(1)*XXB2(2))
  124. *       IF(NS.EQ.4) T2 = T2 + 3.0D0 * XXB2(4) * XXB2(4)
  125.        T2=PROCON(XXB2,XXB2,NS)
  126.        T2=3.D0*T2/2.D0
  127.        X2II = 0.D0
  128.        IF(XMAT(18).NE.0.D0)
  129.      . X2II = SQRT(T1+ALFA*ALFA*T2)/XMAT(18)
  130.        COX1 = XPUISS(X1II,XMAT(19)-1.0D0,AMAX)
  131.        COX2 = XPUISS(X2II,XMAT(20)-1.0D0,AMAX)
  132. C ----------------------------------------------------------------|
  133. C*******  CALCULATION OF DX1 AND DX2                              |
  134. C-----------------------------------------------------------------I
  135.        DO 73 I=1,NSTRS
  136.        VARPT(      I)=0.0D0
  137.   73   VARPT(NSTRS+I)=0.0D0
  138.        DO 74 I=1,NSTRS
  139.        T1  =  DETIER * XMAT(11) * XMAT(12) *  EPS0(I)
  140.        T2  =  XMAT(11) * PIP *  VAR(I) * PPT
  141.        T3  =  COX1 *  VAR(I)
  142.        VARPT(I)= T1 - T2 -T3
  143.        T1  =  DETIER * XMAT(14) * XMAT(15) *  EPS0(I)
  144.        T2  =  XMAT(14) * PIP *  VAR(NSTRS+I) * PPT
  145.        T3  =  COX2 *  VAR(NSTRS+I)
  146.   74   VARPT(NSTRS+I)= T1 - T2 - T3
  147. C-----------------------------------------------------------------|
  148. C*******  CALCULATION OF DR                                       |
  149. C-----------------------------------------------------------------I
  150.        T1 = 1.0D0-(1.0D0-VAR(4*NSTRS+3)/XMAT(25))**2
  151.        QR = VAR(4*NSTRS+3)-XMAT(26)*T1
  152.        CO1= QR-VAR(4*NSTRS+2)
  153.        CO0= ABS(CO1)
  154.        CO = XPUISS(CO0,XMAT(22)-1.0D0,AMAX)
  155.        T1= XMAT(16)*(VAR(4*NSTRS+3)-VAR(4*NSTRS+2))*PPT
  156.        T2= XMAT(21)*CO*CO1
  157.        DR= T1 + T2
  158.        VARPT(4*NSTRS+2)=DR
  159. C----------------------------------------------------------------|
  160. C*******  CALCULATION OF PROD (N X N*)                           |
  161. C----------------------------------------------------------------I
  162.        TM1  = EPMM(1)-GAMM(1)
  163.        TM2  = EPMM(2)-GAMM(2)
  164.        TM3  = EPMM(3)-GAMM(3)
  165.        TM4  = 0.0D0
  166.        IF(NS.EQ.4) TM4 = EPMM(4)-GAMM(4)
  167.        AIM2 = TM1*TM1+TM2*TM2+TM3*TM3+2.D0*TM4*TM4
  168.        AIM2 = AIM2*3.D0/2.D0
  169.        TB1  = EPBB(1)-GABB(1)
  170.        TB2  = EPBB(2)-GABB(2)
  171.        TB3  = EPBB(3)-GABB(3)
  172.        TB4  = 0.0D0
  173.        IF(NS.EQ.4) TB4 = EPBB(4)-GABB(4)
  174.        AIB2 = TB1*TB1+TB2*TB2+TB3*TB3+2.D0*TB4*TB4
  175.        AIB2 = AIB2*3.D0/2.D0
  176.        AI2  = SQRT(AIM2+(AIB2/ALFA/ALFA))
  177.        IF (AI2.LT.1.D-10) THEN
  178.           IF (AI2.EQ.0.D0) AI2=1.D-10
  179.           AI20=AI2*1.D20
  180.           TM1=TM1*1.D20
  181.           TM2=TM2*1.D20
  182.           TM3=TM3*1.D20
  183.           TM4=TM4*1.D20
  184.           TB1=TB1*1.D20
  185.           TB2=TB2*1.D20
  186.           TB3=TB3*1.D20
  187.           TB4=TB4*1.D20
  188.        ELSE
  189.           AI20=AI2
  190.        ENDIF
  191.        ANSM(1) = ROOT*TM1/AI20
  192.        ANSM(2) = ROOT*TM2/AI20
  193.        ANSM(3) = ROOT*TM3/AI20
  194.        ANSM(4) = 0.0D0
  195.        IF(NS.EQ.4) ANSM(4) = ROOT*TM4/AI20
  196.        ANSB(1) = ROOT*TB1/AI20
  197.        ANSB(2) = ROOT*TB2/AI20
  198.        ANSB(3) = ROOT*TB3/AI20
  199.        ANSB(4) = 0.0D0
  200.        IF(NS.EQ.4) ANSB(4) = ROOT*TB4/AI20
  201.        ANM (1) = ROOT*XXM(1)/AJ2
  202.        ANM (2) = ROOT*XXM(2)/AJ2
  203.        ANM (3) = ROOT*XXM(3)/AJ2
  204.        ANM (4) = 0.0D0
  205.        IF(NS.EQ.4) ANM (4) = ROOT*XXM(4)/AJ2
  206.        ANB (1) = ROOT*XXB(1)/AJ2
  207.        ANB (2) = ROOT*XXB(2)/AJ2
  208.        ANB (3) = ROOT*XXB(3)/AJ2
  209.        ANB (4) = 0.0D0
  210.        IF(NS.EQ.4) ANB (4) = ROOT*XXB(4)/AJ2
  211.  76    CONTINUE
  212.        FF = DETIER*AI2-VAR(4*NSTRS+4)
  213.        HF=0.0D0
  214.        IF(FF.GT.0.0D0) HF=1.0D0
  215.        ANAN1=PROCON(ANM,ANSM,NS)
  216. *       ANAN1 = ANM(1)*ANSM(1)+ANM(2)*ANSM(2)
  217. *       ANAN1 = ANAN1+2.D0*ANM(3)*ANSM(3)
  218.        ANANSM=0.0D0
  219.        IF(ANAN1.GT.0.0D0) ANANSM=ANAN1
  220.        ANAN1=PROCON(ANB,ANSB,NS)
  221. *       ANAN1 = ANB(1)*ANSB(1)+ANB(2)*ANSB(2)
  222. *       ANAN1 = ANAN1+2.D0*ANB(3)*ANSB(3)
  223.        ANANSB=0.0D0
  224.        IF(ANAN1.GT.0.0D0) ANANSB=ANAN1
  225. C----------------------------------------------------------------|
  226. C*******  CALCULATION OF DQ                                      |
  227. C----------------------------------------------------------------I
  228.        ANANS=ANANSM+ANANSB/ALFA/ALFA
  229.        DQ = XMAT(23)*HF*ANANS*PPT
  230.        VARPT(4*NSTRS+4)=DQ
  231. C----------------------------------------------------------------|
  232. C*******  CALCULATION OF DGETA                                   |
  233. C----------------------------------------------------------------I
  234.        T1  = ROOT*(1.0D0-XMAT(23))*HF*ANANS*PPT
  235.        DO 78 I=1,NS
  236.        VARPT(2*NSTRS+I)   = T1*ANSM(I)
  237.        VARPT(2*NSTRS+NS+I)= T1*ANSB(I)
  238.   78   CONTINUE
  239. C----------------------------------------------------------------|
  240. C*******  CALCULATION OF DQQ                                     |
  241. C----------------------------------------------------------------I
  242.        VARPT(4*NSTRS+3)=2.0D0*XMAT(24)*(XMAT(25)-VAR(4*NSTRS+3))*DQ
  243. C
  244.        EPSVPT(1)=EPS0(1)
  245.        EPSVPT(2)=EPS0(2)
  246.        IF (NS.EQ.4) EPSVPT(3)=EPS0(4)
  247.        EPSVPT(NS)=EPS0(NS+1)
  248.        EPSVPT(NS+1)=EPS0(NS+2)
  249.        IF (NS.EQ.4) EPSVPT(6)=EPS0(8)
  250. C
  251.        RETURN
  252.        END
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