ADVANCED MECHANICS OF COMPOSITE MATERIALS Episode 12 ppsx

... an aramid–epoxy composite as a function of the number of cycles under tension (1) and compression (2). 372 Advanced mechanics of composite materials laminate element with the aid of Eqs. (5.3) ... value of the elastic potential energy in (a) (b) s 0 s 0 e 0 e 0 ee ss Fig. 7.29. Stress–strain diagrams for viscoelastic (a) and elastic (b) materials. 406 Advanced mechani...

Ngày tải lên: 13/08/2014, 08:21

... Russian). 24 Advanced mechanics of composite materials Fig. 1.16. Machine making a prepreg from fiberglass fabric and epoxy resin. Courtesy of CRISM. 32 Advanced mechanics of composite materials Z p i s z t zx t zy s C v s u z u x u z u x M u y A B u y ds S u L S s n(l x , ... (2.67) Chapter 2 FUNDAMENTALS OF MECHANICS OF SOLIDS The behavior of composite materi...

Ngày tải lên: 13/08/2014, 08:20

... 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 now the problem of torsion ... unidirectional composite are presented in Fig. 6.11. As can be seen, the maximum stress criterion (solid lines) 322 Advanced mechanics o...

Ngày tải lên: 13/08/2014, 08:21

... 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’ ... Compression 122 3.5. Hybrid Composites 123 3.6. Composites with High Fiber Fraction 127 3.7. Phenomenological Homogeneous Model of a Ply 129 3.8. Referenc...

Ngày tải lên: 13/08/2014, 08:20

... material. Fig. 3.31. Testing of the matrix specimen. 86 Advanced mechanics of composite materials 3.3. Micromechanics of a ply Consider a unidirectional composite ply under the action of in-plane normal ... cross-section of a ply (v f = 0.65). 90 Advanced mechanics of composite materials 1 2 3 a m a f s 1 s 2 s 2 t 12 t 12 t 12 t 12 σ 1 a Fig. 3.34. Firs...

Ngày tải lên: 13/08/2014, 08:20

... First-order microstructural model of a hybrid unidirectional ply. 124 Advanced mechanics of composite materials Here, v (1) f and v (2) f are volume fractions of the fibers of the first and second type, ... The dependence of σ + 1 on v f is shown in Fig. 3.44. For very 92 Advanced mechanics of composite materials The first of these equations specifies the apparent l...

Ngày tải lên: 13/08/2014, 08:20

... b 1 σ 2 +b 2 σ 2 2 +b 3 σ 3 2 +b 4 σ 4 2 +b 5 σ 5 2 +d 1 σ 1 +m 1 σ 2 τ 2 12 +3m 2 σ 2 2 τ 2 12 +4m 3 σ 3 2 τ 2 12 +2m 4 σ 2 τ 4 12 (4.60) γ 12 = c 1 τ 12 +c 2 τ 3 12 +c 3 τ 5 12 +m 1 τ 12 σ 2 2 +2m 2 τ 12 σ 3 2 +2m 3 τ 12 σ 4 2 +4m 4 τ 3 12 σ 2 2 As an ... c 1 τ 12 +c 2 τ 3 12 +c 3 τ 5 12 +k 1 τ 12 σ 2 1 +m 1 τ 12 σ 2 2 +2k 2 τ 12 σ 1 σ 2 +2k 3 τ 12 σ 3...

Ngày tải lên: 13/08/2014, 08:20

... 45 ◦ off-axis tension of a two-matrix unidirectional composite. 174 Advanced mechanics of composite materials Consider the first set of inequalities in Eqs. (4.85) and assume that the first of them, ... is ε x = σ x E x −ν xy σ y E y ,ε y = σ y E y −ν yx σ x E x ,γ xy = τ xy G xy (4.115) where E x = A 11 − A 2 12 A 22 ,E y = A 22 − A 2 12 A 11 ,G xy = A 44 ν xy = A 12 A...

Ngày tải lên: 13/08/2014, 08:20

... i.e., γ 12 = c 1 τ 12 +c 2 τ 3 12 in which c 1 = 1/G 12 and c 2 = 5.2 × 10 −8 (MPa) −3 . Chapter 4. Mechanics of a composite layer 205 Fig. 4.52. Microstructure of a unidirectional two-matrix composite. Table ... form ε 1 =c 11 σ 1 +c 12 σ 2 ,ε 2 =c 12 σ 1 +c 22 σ 2 +ω 2 (σ 2 ,τ 12 ), γ 12 =c 44 τ 12 +ω 12 (σ 2 ,τ 12 ) Functions ω 2 and ω 12 include all the n...

Ngày tải lên: 13/08/2014, 08:20

... Mechanics/ Mechanics of Composite Materials, 3(5), 604–607. Vasiliev, V.V. and Morozov, E.V. (1988). Applied theory of spatially reinforced composite shells. Mechanics of Composite Materials, ... ψ 254 Advanced mechanics of composite materials Vasiliev, V.V. and Salov, V.A. (1984). Development and examination of a two-matrix glass-fiber composite with high transv...

Ngày tải lên: 13/08/2014, 08:21