N. Abolfathi et al Computational Materials Science 43(2008)1193-1206 儈 b 8,12 Fig. 7. Stress distribution contours of the ruC under load case 4 and 6 for fiber cross angles of o=0. 45 and 90 with the constitutive materials of the composite #1(a Table 2 The 13 independent compliance coefficients(x10-2, 1/GPA) for the composite #1 at various fibers cros at 40% fiber volume fraction Fibers cross Method S111 S1122 and S133 and S112 and Sxz S233 and sz1 3.160-09200920 0000 0000 15 MM3.580-1.2500.95822501020-391 10.100.793 256230.20-06363500 4.360-2.090-0930 391010813.57 0875 5.270-2940 0950 2550 11.5 -3.51 0.75 660.740 7.5730.39 1.51 9.30-323 17.8731.30-1.270 5.540-3.090-10100.660 1440 0.004 7.612-2.64 210032.00-1.10033.20 5.510-2.760 10.24307 9.551.681 8912319551.50533.69 MM 4860-0963 6.3732.40-0634 5.150-1.750 754 37 8.9532 52 0865 MM4790-0669 4.79-1.76 9.540.000 29.203260 32.60 4.750-0.680 0000 0000 MM. current micromechanics method: LtFig. 7. Stress distribution contours of the RUC under load case 4 and 6 for fiber cross angles of u = 0, 45 and 90 with the constitutive materials of the composite #1. (a) u = 0, (b) u = 45, (c) u = 90. Table 2 The 13 independent compliance coefficients (102 , 1/GPA) for the composite #1 at various fibers cross angles at 40% fiber volume fraction Fibers cross angle Method S1111 S1122 and S2211 S1133 and S3311 S1112 and S1211 S2222 S2233 and S3322 S2212 and S1222 S3333 S3312 and S1233 S1212 S1313 S1323 and S2313 S2323 0 MM 3.160 0.920 0.920 0.000 9.68 3.60 0.000 9.66 0.000 29.40 29.40 0.000 36.40 15 MM 3.580 1.250 0.958 2.250 10.20 3.91 0.44 10.10 0.793 25.62 30.20 0.636 35.00 LT 4.360 2.090 0.930 3.910 10.81 3.57 3.04 9.68 0.350 16.87 29.81 0.875 36.34 30 MM 4.300 1.770 1.050 2.429 10.10 3.66 0.938 10.10 1.505 19.72 30.70 1.100 34.50 LT 5.270 2.940 0.950 2.550 11.51 3.51 0.75 9.66 0.740 7.57 30.39 1.51 35.62 45 MM 4.790 1.900 1.210 1.270 9.30 3.23 3.24 9.96 2.020 17.87 31.30 1.270 33.90 LT 5.540 3.090 1.010 0.660 11.32 3.38 4.45 9.63 1.193 5.76 31.175 1.74 34.65 60 MM 4.930 1.540 1.440 0.004 7.612 2.64 4.64 9.79 2.090 21.00 32.00 1.100 33.20 LT 5.510 2.760 1.130 1.07 10.24 3.07 5.17 9.55 1.681 8.912 31.955 1.505 33.69 75 MM 4.860 0.963 1.660 0.447 5.69 2.04 3.57 9.62 1.400 26.37 32.40 0.634 32.80 LT 5.150 1.750 1.400 2.080 7.54 2.37 6.52 9.37 1.820 18.95 32.52 0.865 32.98 90 MM 4.790 0.669 1.760 0.000 4.79 1.76 0.000 9.54 0.000 29.20 32.60 0.000 32.60 LT 4.750 0.680 1.670 0.000 4.75 1.67 0.000 9.20 0.000 29.60 32.73 0.000 32.73 MM, current micromechanics method; LT, lamination theory. N. Abolfathi et al. / Computational Materials Science 43 (2008) 1193–1206 1201