ADVANCED MECHANICS OF COMPOSITE MATERIALS Episode 2 ppsx

... 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 ... Russian). 24 Advanced mechanics of composite materials Fig. 1.16. Machine making a prepreg from fiberglass fabric and epoxy resin. Courtesy of CRISM. 32...

Ngày tải lên: 13/08/2014, 08:20

... C 11 ε 0 x +C 12 ε 0 y ,M y = C 21 ε 0 x +C 22 ε 0 y (5. 128 ) in which B 12 = B 12 − C 12 R , B 22 = B 22 − C 22 R , C 12 = C 12 − D 12 R , C 22 = C 22 − D 22 R (5. 129 ) 318 Advanced mechanics of composite materials Consider ... GPa mm 2 , C 12 = I (1) 12 = 3.3 GPa mm 2 ,C 22 = I (1) 22 = 27 .4 GPa mm 2 ; D 12 = I (2) 12 = 5.9 GPa...

Ngày tải lên: 13/08/2014, 08:21

... +  t 0 C 12 (t −τ)σ 2 (τ )dτ  ε 2 (t) = 1 E 2  σ 2 (t) +  t 0 C 22 (t −τ)σ 2 (τ )dτ  − ν 21 E 1  σ 1 (t) +  t 0 C 21 (t −τ)σ 1 (τ )dτ  γ 12 (t) = 1 G 12  τ 12 (t) +  t 0 K 12 (t −τ)τ 12 (τ ... that ν ∗ 12 E ∗ 2 = ν 12 E 2 , ν ∗ 21 E ∗ 1 = ν 21 E 1 Then, Eqs. (7.57) take the form ε ∗ 1 (p) = σ ∗ 1 (p) E 1 − ν 12 E 2 σ ∗ 2 (p) ε ∗ 2 (p)...

Ngày tải lên: 13/08/2014, 08:21

... Preliminaries 15 () [] 2 2 2 1 2 1 1 exp yyx +−= (1.83) 1 2 2 2 1 y y arctgx ⋅= π (1.84) with the Jacobian determinant of the form () )(exp ),( ),( 2 2 2 1 2 1 2 1 21 21 2 2 1 2 2 1 1 1 yy yy xx y x y x y x y x +−−== π ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ (1.85) ... specific time moment 42 Computational Mechanics of Composite Materials [] [] [] () [] [] [] [] () [] []...

Ngày tải lên: 10/08/2014, 11:22

... elasticity, mechanics of composite materials, design, analysis, fabrica- tion, and application of composite structures. According to the list of books on composites presented in Mechanics of Fibrous Composites’ ... Advanced mechanics of composite materials 0 40 80 120 160 20 0 2 1 3 4 T,°C T,°C (a) 0 0 .2 0.4 0.6 0.8 1 0 0 .2 0.4 0.6 0.8 1 0 40 80 120 160 20 0...

Ngày tải lên: 13/08/2014, 08:20

... is σ 1 =  E 1 (ε 1 +ν 12 ε 2 ) σ 2 =  E 2 (ε 2 +ν 21 ε 1 ) (3.59) τ 12 = G 12 γ 12 where  E 1 ,2 = E 1 ,2 1 −ν 12 ν 21 and the following symmetry condition is valid E 1 ν 12 = E 2 ν 21 (3.60) s 1 s 2 s 1 s 2 t 12 t 12 t 12 t 12 1 2 3 Fig. ... E 2 ν 21 (3.60) s 1 s 2 s 1 s 2 t 12 t 12 t 12 t 12 1 2 3 Fig. 3 .29 . A unidirectional...

Ngày tải lên: 13/08/2014, 08:20

... (3. 122 ) and integrating, we arrive at W s m = adl n 2G m C 2 (1 +cos λ n c) W e m = adl n 2E m  π 2 a 2 12l 2 n C 2 (1 +cos λ n c) + E 2 m a 2 V 2 (1 −cos λ n c)  Chapter 3. Mechanics of a ... bound; • experimental data. Chapter 3. Mechanics of a unidirectional ply 103 0 400 800 120 0 1600 20 00 0 s 1 , MPa (a) e 2 ; g 12 , % 0 30 60 90 024 s 2 ; τ 12...

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

... σ 0 2 −σ 2 (x) τ 1 =− h 2 h 1 σ  2 (x)z 1 ,τ 2 = σ  2 (x)z, τ 3 =− h 2 h 1 σ  2 (x)z 2 (4. 128 ) s 1 = h 2 2h 1 σ  2 (x)z 2 1 ,s 2 =− 1 2 σ  2 (x)  z 2 −h 1 h 2 −h 2 2  ,s 3 = h 2 2h 1 σ  2 (x)z 2 2 where z 1 = ... sink 2 x  σ x2 =σ 0 2  1− 1 c  k 1 k 2 coshk 1 x cosk 2 x +sinhk 1 x sink 2 x  τ xz2 = σ 0 2 k 2 c  k 2 1...

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 ... and c = cos φ. A ω 11 =  C 22 s 2 +C 12 c 2  ω 2 −2C 44 csω 12 ,A ω 22 =  C 22 c 2 +C 12 s 2  ω 2 +2C 44 csω 12 , A ω...

Ngày tải lên: 13/08/2014, 08:20