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orin“technical'”form: ΦumIm=-sd 1 (1+v) 4G2E, 。Φmmm=0 ·④m1m=cp1313+sp2323 is still:: 中，m1m=c29,212+s29222-9223 orin“technical'”form: ++” 中mm=4G,32E 。Φ1m1m=0 ·电m=sc29111-s2c2p122+cp212-s2c2p221… …-s2c292112+sp2121-scp2211+2c2p2222 重，m1m=52c(91111+p2222-2p1122）+(c2-5301212 orin“technical'”form: m=c2++尝}+2- All the nonzero coefficients y found above allow one to write the constitutive relation in the form': Exx 111I i Φ11亚 0 0 2Φ111n OxX Eyy ①III Φui ΦIⅢⅢ 0 0 2Φmn1 Oyy Ezz ΦmII ΦmmII ΦmⅢ中 0 0 2Φm1山 0z2 Yy 0 0 0 4中如mⅢ 4中nm1Ⅲ 0 tyz Yxz 0 0 0 4Φ1m1m 4Φ1m1 0 txz Yxy 2Φ112④1mmm 2Φ1Ⅲ 0 0 4Φ1m1Ⅱ] txy (13.6) This is deduced from the general Equation 9.2. 2003 by CRC Press LLCor in “technical” form: or in “technical” form: or in “technical” form: All the nonzero coefficients FIJKL found above allow one to write the constitutive relation in the form9 : (13.6) 9 This is deduced from the general Equation 9.2. FII III I III sc 1 4Gt ---------- ( ) 1 + n 2Et – ---------------- Ë ¯ Ê ˆ = – • FIII II I II = 0 • FI III I III c 2 j1313 s 2 j2323 = + is still: FI III I III c 2 j1 2 12 s 2 j2222 – j2233 ( ) 2 = + -------------------------------------- FI III I III c 2 4Gt ---------- s 2 ( ) 1 + n 2Et = + ----------------- • FI III I II = 0 • FI II I II s 2 c 2 j1111 s 2 c 2 – j1122 c 4 j1212 s 2 c 2 = + – j1221º º s 2 c 2 – j2112 s 4 j2121 s 2 c 2 – j2211 s 2 c 2 + + j2222 FI II I II s 2 c 2 j1111 + j2222 – 2j1122 ( ) c 2 s 2 ( ) – 2 = + j1212 FI II I II s 2 c 2 1 E ---- 1 Et ---- 2 nt Et + + ------ Ó ˛ Ì ˝ Ï ¸ c 2 s 2 ( ) – 2 1 4Gt = + ---------- exx e yy e zz g yz g xz g xy Ó ˛ Ô Ô Ô Ô Ô Ô Ô Ô Ì ˝ Ô Ô Ô Ô Ô Ô Ô Ô Ï ¸ FIIII FI I II II FI I III III 0 02FI I I II FII II I I FII II II II FII II III III 0 02FII II I II FIII III I I FIII III II II FIII III III III 0 02FIII III I II 0 0 04FII III II III 4FII III I III 0 0 0 04FI III II III 4FI III I III 0 2FI II I I 2FI II II II 2FI II III III 0 04FI II I II sxx syy szz t yz txz txy Ó ˛ Ô Ô Ô Ô Ô Ô Ô Ô Ì ˝ Ô Ô Ô Ô Ô Ô Ô Ô Ï ¸ = TX846_Frame_C13 Page 268 Monday, November 18, 2002 12:29 PM © 2003 by CRC Press LLC