Mechanics Analysis Composite Materials Episode 2 potx

... equation for a ~3-1,a2-40-13=0 , (2. 12) 40 Mechanics and analysis of composite materials 2. 7. Compatibility equations Consider strain-displacement equations, Eqs. (2. 22) , and try to ... (2. 14)’ (2. 18), (2. 24X2 .26 ) and introducing shear strain y as the difference between angles MI L1 NI and MLN, i.e., as x y= m 2 we can write Eq. (2. 23) in...

Ngày tải lên: 13/08/2014, 17:20

... σ 32 ε x = ε 11 ,ε y = ε 22 ,ε z = ε 33 γ xy = 2 12 = 2 21 ,γ xz = 2 13 = 2 31 ,γ yz = 2 23 = 2 32 Then, Eq. (2. 39) can be written as dW =  V dUdV (2. 40) 54 Advanced mechanics of composite ... form { σ } = [ S ] { ε } (2. 46) where { σ } = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ σ x σ y σ z τ xy τ xz τ yz ⎫ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎬ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎭ { ε } = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪...

Ngày tải lên: 13/08/2014, 08:20

... yield ε 1 =a 1 σ 1 +d 1 σ 2 +nσ n−1  1 R 1 (b 11 σ 1 +c 12 σ 2 )+ 1 R 2 2  d 11 σ 2 1 +2e 12 σ 1 σ 2 +e 21 σ 2 2   ε 2 =b 1 σ 2 +d 1 σ 1 +nσ n−1  1 R 1 (b 22 σ 2 +c 12 σ 1 )+ 1 R 2 2  d 22 σ 2 2 +2e 21 σ 2 σ 1 +e 12 σ 2 1   (4.64) γ 12 =c 1 τ 12 +2nσ n−1 b 12 R 1 τ 12 where σ = R 1 +R 2 R 1 =  b 11 σ 2 1 +b 22 σ 2 2 +b 12 τ...

Ngày tải lên: 13/08/2014, 08:20

... C 11 ε 1 +C 12 ε 2 −C 12 ω 2 ,σ 2 = C 12 ε 1 +C 22 ε 2 −C 22 ω 2 , τ 12 = C 44 γ 12 −C 44 ω 12 (4.151) in which C 11 = c 22 c ,C 22 = c 11 c ,C 44 = 1 c 44 ,C 12 =− c 12 c ,c= c 11 c 22 −c 2 12 Repeating ... A 11 ε x +A 12 ε y −A ω 11 ,σ y = A 21 ε x +A 22 ε y −A ω 22 ,τ xy = A 44 γ xy −A ω 44 where s = sin φ and c = cos φ. A ω 11 =  C 22 s 2...

Ngày tải lên: 13/08/2014, 08:20

... E 1 ν 12 h, B 44 = G 12 h, C 11 =−C 22 = h 2 8  E 2 −E 1  ,C 12 = 0,C 44 = 0, D 11 = D 22 = h 3 24  E 1 +E 2  ,D 12 = h 3 12 E 1 ν 12 ,D 44 = h 3 12 G 12 x y z h /2 h /2 Fig. 5 .24 . An antisymmetric ... +α)], I (1) 22 = δ 2 2 E 1 p  j=1 [4j(1 +α) − (3α + 1)],I (1) 12 = 1 2 E 1 ν 12 h 2 , I (1) 44 = 1 2 G 12 h 2 , I (2) 11 = δ 3 3 E 1 p ...

Ngày tải lên: 13/08/2014, 08:21

... I . 42 13.4 1.3 7.7 1.36 5.9 1.1 70 1.4 60 2. 3 190 1 .2 70 0.9 IO0 1. 52 60 2. 4 -2. 6 20 0 2. 2 27 0 2. 7-3.0 130 27 50 26 70 24 40 22 20 17300 22 50 25 60 25 50 26 70 1 720 0 21 60 ... of Solids 29 2. 1. 2. 2. 2. 3. 2. 4. 2. 5. 2. 6. 2. 7. 2. 8. 2. 9. 2. 10. 2. 11. 2. 11.1. 2. 1 1 .2. 2. 11.3. 2. 12. Stresses 29 Equilibrium Equations...

Ngày tải lên: 13/08/2014, 17:20

... equation nR2 nR 2Ra 2a q=-= Because 2R < a, vf < n/4 = 0.785. Equilibrium condition yields R 2R 02 = / crndx3 , -R (3. 82) (3.83) where x3 = Rcosa and 02 is some ... 71.4 21 .3 84 Mechanics and analysis of composite materials = EIEI, 02 = 0, ti2 = 0 , (3.61) where El = Epf. Being very simple and too approximate to be used in stress...

Ngày tải lên: 13/08/2014, 17:20

... value of 98 Mechanics and analysis of composite materials o,,MPa 20 00 1600 120 0 aoo 4w 0 0 0.5 1 1.5 (a ) 0 2 ; ~ ,2. MPa 20 0 [ 50 p- ;2 E2+,' 0 12% 0 1 2 3 Fig. ... a composite pressure vessel. 1 12 Mechanics and analysis of composite materials 01 = 7C2Df + Gm(1 +a) (1 +cos:) cd( 1 + a)a4 2( 1 + (n2Gm/ 12@ m)) 2Emc...

Ngày tải lên: 13/08/2014, 17:20

... + 2rn4ozz?,, YU = ~17 12 + ~ 2 4 ~ + c3zi2 + klzi2a: + rn~ma; (4.59) + 2dsa:oz + 3d90: 02 + 4dlool0; + dllo: + 2d 126 :~~ + 24 znoia2 + 2k3z12a: + 2rn 221 2o: + 2k4z12of + 4k5zi20: ... + + C2li2 + -c2& + ??I; + -c,4i; + 1 1 I 2 3! 4! + -CI~ZIZII~ 1 +-c 122 1iji2 1 3 1 +-~1 122 11 122 2 3! 3! 1 1 1 4! 4! 4! +-cI3,1.l:i2 +-c 12, 21:i; +-c1...

Ngày tải lên: 13/08/2014, 17:20

... a?l 22 5 690 1 125 590 840 400 100 520 c:l 3 1.43 1.5 2. 63 0. 62 0.50 0.47 0 .27 82 0.31 0.45 0.75 0 .2 0.37 0.1 0.05 0.13 El /E2 9.7 3 .2 2 13.1 1.68 5 94 2. 1 186 Mechanics ... and analysis of composite materials where ATl =AT, =All, AT2 = Ar2 = A 12, Ai2 = = A 22, AT4 = AT^ = A14, Ai4 = -AT4 = A24, A:4 = AT4 = A44, where A...

Ngày tải lên: 13/08/2014, 17:20