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By Suresh G Advani; Gabriel O Shonaike

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4/–86)s for simply supported and clamped boundary conditions. 7)s. Comparisons of worst and best designs show large differences in the objective function, indicating that failure to optimize the design will result in very low carrying capacity. fm Page 20 Monday, June 21, 2004 10:51 PM more rounded designs. Manne and Tsai (1998b) developed a thickness scaling technique to meet the strength and stiffness requirements of a design in which layer thicknesses are multiplied by a factor λ to be determined using a suitable failure criterion or a displacement modulus.

Susuki (1991) determined the optimal ply angles under various loading conditions using the discrete set of angles (0°, ±45°, 90°) for graphite/epoxy (T300-N5208) laminates subject to Tsai–Wu failure criterion. 3%. 2% as Ny increases. 8% as Ny increases. 2. 1) MPa for (0/45) configuration. These results were obtained by considering a tetrahedron of ply angle percentages corresponding to 0°(p%), 90°(q%), 45(r%) with –45(s = 1 – p – q – r%). The vertices, edges, and surfaces of the tetrahedron make up a 14-ply angle.

For example, fiber misalignment, imperfect bonding (matrix/fiber or between laminate), and variations in the fiber/matrix content can easily occur and affect the values of elastic constants and the strength parameters. A suboptimum design may result if the scatter in the material data is not taken into account in the optimization process. One method of including this data in the design optimization is by convex modeling, which requires information only on the bounds of the uncertain properties (Ben-Haim and Elishakoff, 1990).

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