Composite Materials Design and Applications Part 12 doc

... + C 11 C 12 C 12 2 – C 11 C 12 C 12 2 – 1.== = k x E 11 EI 11 E 12 EI 12 + ˯ ʈ g 0 zzd h/2– h/2 Ú = Ú h/2– h/2 E 22 EI 22 E 12 EI 12 +() h y zzd 0= E 22 EI 22 E 12 EI 12 + ˯ ʈ Q y hG yz ·Ò ... Plate then C ij E ij z 2 zd h/2– h/2 Ú E ij ➀ z 2 zd H 1 /2– H 2 /2– Ú E ij ➁ z 2 zdE ij ➀ z 2 zd H 2 /2 H 1 /2 Ú + H 2 /2– H 2 /2 Ú +== C ij E ij ➀ H 1 3 H 2 3 – 12...

Ngày tải lên: 10/08/2014, 11:21

... SANDWICH STRUCTURES Sandwich structures occupy a large proportion of composite materials design. They appear in almost all applications. Historically they were the first light and high-performance ... these stresses and prevents the deformations of the whole part, for example, warping as shown in Figure 5 .12. 5.2.3.5 Particular Cases of Balanced Fabrics Some laminates are made...

Ngày tải lên: 10/08/2014, 11:21

... modulus of elasticity and Poisson ratios of the laminate, 10 and e x , e y , g xy are normal and shear strains in the plane xy. Example: What are the elastic moduli and thermal expansion ... 10 -5 and a y = 1.21 ¥ 10 -5 by permuting the proportions of 0∞ and 90∞. 10 Recall (Sections 3.1 and 3.2) that u xy /E x = u yx /E y . TX846_Frame_C05 Page 85 Monday, November 18,...

Ngày tải lên: 10/08/2014, 11:21

... F IIIII c 3 s j 1111 c 3 s j 1122 c 3 s j 121 2 cs 3 j 122 1 – sc 3 j 2 112 º++ +–= … s 3 c j 2121 – s 3 c j 2211 s 3 c j 2222 +– F IIIII sc c 2 j 1111 s 2 j 2222 – c 2 s 2 –() j 1122 2 j 121 2 +()–{}–= F IIIII cs c 2 E ᐉ ... II s 4 j 1111 s 2 c 2 j 1122 s 2 c 2 j 121 2 s 2 c 2 j 122 1 º+++= º s 2 c 2 j 2 112 s 2 c 2 j 2121 s 2 c 2 j 2211 c 4 j 2222 ++++ F II II II II s 4 j...

Ngày tải lên: 10/08/2014, 11:21

... assembly, and applications of composites in the aerospace and other areas. This part can be used by itself to form a part of a course on advanced materials and associated designs. Ⅲ The second part ... theory. Composites Design courses also exist in a few universities and institutes. The demand from students and also practitioners of composites for knowledge and tr...

Ngày tải lên: 10/08/2014, 11:21

... of the composite to the rest of the structure. Here we will examine the assembly problems involving riveting, bolting, and bonding: Ⅲ of a composite part to another composite part and Ⅲ ... 6 JOINING AND ASSEMBLY We have seen previously how to design a laminate to support loads. A second fundamental aspect of the design of a composite piece consists of the...

Ngày tải lên: 10/08/2014, 11:21

... chapter. 8.1 COMPOSITE MATERIALS AND THE MANUFACTURING OF AUTOMOBILES 8.1.1 Introduction Composite materials have been introduced progressively in automobiles, following polymer materials, ... significant penetration of composites in the manufacturing of automobiles. TX846_Frame_C08 Page 184 Monday, November 18, 2002 12: 22 PM © 2003 by CRC Press LLC 8 COMPOSITE MATER...

Ngày tải lên: 10/08/2014, 11:21

... ˝ ÔÔ ÔÔ ÔÔ ÔÔ Ï¸ j 1111 j 1122 j 1133 2 j 1123 2 j 1113 2 j 1 112 j 2211 j 2222 j 2233 2 j 2223 2 j 2213 2 j 2 212 j 3311 j 3322 j 3333 2 j 3323 2 j 3313 2 j 3 312 j 2311 j 2322 j 2333 2 j 2323 2 j 2313 2 j 2 312 j 1311 j 1322 j 1333 2 j 1323 2 j 1313 2 j 1 312 j 121 1 j 122 2 j 123 3 2 j 122 3 2 j 121 3 2 j 121 2 s 11 s 22 s 33 s 23 s 13 s 12 Ó ˛ ÔÔ ÔÔ ÔÔ ÔÔ Ì ˝ ÔÔ ÔÔ ÔÔ ÔÔ...

Ngày tải lên: 10/08/2014, 11:21

... and 15.7, and the simplification 2, at the beginning of Section 15.1.5.1, one can write and with the displacement field in Equation 15.3: Putting h x in the form: (15 .12) Figure 15.4 Normal and ... to the mechanical frequencies, and one denotes this as the “quasi static” domain. 12 One removes all the forces and moments on the beam except inertial forces and moments. ∂ N x ∂...

Ngày tải lên: 10/08/2014, 11:21

... stresses is expanded in the flanges (injected part and unidirectional part in the figure below). The bonding being assumed to be perfect, the distortion is the same in the injected part and in the ... same in the injected part and in the unidirectional part, as: 2. Displacements under load: Keeping the central part C fixed in translation and in rotation, the deformation energy...

Ngày tải lên: 10/08/2014, 11:21