38
39
40
41#include "implicit_f.inc"
42
43
44
45 INTEGER, INTENT(IN) :: NEL,FLAG_MUL,NVARF
46 my_real,
INTENT(IN) :: c1,c2,c3,c4,c5,mu,beta,d ,
47 . coefr, betaf,coefm
48 my_real,
DIMENSION(NEL, 3,3) ,
INTENT(IN) :: matb
49
50
51
52 my_real,
DIMENSION(NEL),
INTENT(OUT) :: bi1 ,jdet
53 my_real,
DIMENSION(NEL, 3,3) :: sig
54
55
56
57 my_real,
DIMENSION(NEL,NVARF),
INTENT(INOUT) :: uvarf
58
59
60
61 INTEGER I
62
64 . j2third(nel),i1(nel),jthird(nel),ww(nel),
65 . dphidi1(nel) ,dphidj(nel) ,eta(nel)
66
67 eta(1:nel) = one
68 DO i = 1,nel
69 jdet(i)=matb(i,1,1)*matb(i,2,2)*matb(i,3,3) -matb(i,1,1)*matb(i,2,3)*matb(i,3,2) -
70 . matb(i,3,3)*matb(i,1,2)*matb(i,2,1) +matb(i,1,2)*matb(i,2,3)*matb(i,3,1) +
71 . matb(i,2,1)*matb(i,3,2)*matb(i,1,3) -matb(i,2,2)*matb(i,3,1)*matb(i,1,3)
72 jdet(i)= sqrt(
max(em20, jdet
73
74 i1(i) = matb(i,1,1)+matb(i,2,2)+matb(i,3,3)
75 IF(jdet(i)>zero) THEN
76 jthird(i) = exp((-third )*log(jdet(i)))
77 j2third(i) = jthird(i)**2
78 ELSE
79 jthird(i) = zero
80 j2third(i) = zero
81 ENDIF
82
83 bi1(i) = i1(i) * j2third(i)
84 ENDDO
85
86
87
88 IF(flag_mul == 1)THEN
89 DO i = 1,nel
90 ww(i) = mu *( c1 * (bi1(i)- three)+c2 * beta * (bi1(i)**2- nine)
91 . + c3 * beta**2 *(bi1(i)**3- three**3)
92 . + c4 * beta**3 *(bi1(i)**4- three**4)
93 . + c5 * beta**4 *(bi1(i)**5- three**5) )
94
95 ENDDO
97 1 nel ,nvarf, coefr,betaf ,
98 2 coefm, ww , uvarf,eta )
99
100 ENDIF
101
102
103 DO i = 1,nel
104 eta(i) =
max(
min(eta(i),one),em20)
105 dphidi1(i) = eta(i)* two*mu *( c1 + two * c2 * beta * bi1(i)
106 . + three* c3 *(beta *bi1(i))**2
107 . + four* c4 *(beta *bi1(i))**3
108 . + five * c5 *(beta *bi1(i))**4)/
max(em20,jdet(i))
109
110 dphidj(i) = d * ( jdet(i) - one /
max(em20,jdet(i)) )
111 ENDDO
112 DO i = 1,nel
113 sig(i,1,1) = dphidi1(i)* (matb(i,1,1)-third*bi1(i)
114 . + dphidj(i)
115 sig(i,2,2) = dphidi1(i)* (matb(i,2,2)-third*bi1(i))
116 . + dphidj(i)
117 sig(i,3,3) = dphidi1(i)* (matb(i,3,3)-third*bi1(i))
118 . + dphidj(i)
119 sig(i,1,2) = dphidi1(i)*matb(i,1,2)
120 sig(i,2,3) = dphidi1(i)*matb(i,2,3)
121 sig(i,3,1) = dphidi1(i)*matb(i,3,1)
122 sig(i,2,1)=sig(i,1,2
123 sig(i,3,2)=sig(i,2,3)
124 sig(i,1,3)=sig(i,3,1)
125 ENDDO
126
127 RETURN
subroutine mullins_or(nel, nuvar, coefr, betaf, coefm, ww, uvar, eta)