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by: Ardith Gutmann
Ardith Gutmann
GPA 3.6


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Class Notes
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This 1 page Class Notes was uploaded by Ardith Gutmann on Saturday September 12, 2015. The Class Notes belongs to MAE T404 at West Virginia University taught by Staff in Fall. Since its upload, it has received 21 views. For similar materials see /class/202655/mae-t404-west-virginia-university in Mechanical Engineering at West Virginia University.

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Date Created: 09/12/15
32 Finite Element Analysis of Composite Materials the laminate the compliance is 1 Vyac Vzac if 7 0 0 0 E96 Ey EZ my 1 lZy if 7 if 0 0 0 E96 Ey EZ 7 7 i 0 0 0 S Ex Ey Ez 1 1105 0 0 0 0 0 l 1 l 0 0 0 0 7 0 GZ 1 0 0 0 0 0 Gi 9 Since the compliance must be symmetric it must satisfy 194 with ij z y 2 Therefore it is possible to compute the apparent engineering properties of a laminate in terms of the laminate compliance as follows Ex 1311 sz 321311 Ey 1322 Vacz 331311 Ez 1333 Vyz 332322 Gyz 1344 Gm 1355 am 1366 1106 Example 16 Compute the laminate properties of 090 i 305 with tk 15 mm Ef 241 GPa lf 02 Em 312 GPa zm 038 ber volume fraction Vf 06 where fm denote ber and matrix respectively Solution to Example 16 First use periodic microstructure micromechanics 68 to ob tain the layer properties in MPa E1 145 880 G12 4386 V12 V13 0263 E2 13312 G23 4 528 V23 Then compute the compliance matriac 3 using 192 rotation matriac T using 133 global compliance S using 152 and global sti ness C S 1 for each layer Then average them using 11057 invert it and nally using 1106 get E 78901 Gm 17114 um 0320 E 47604 1 4 475 14 0364 E 16023 Gm 4439 ym 0280 Suggested Problems Problem 11 Using the principle of virtual work PlW nd a quadratic displacement function in 0 lt x lt L of a tapered slender rod of length L red at the origin and


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