Advanced polymeric materials : structure property by Suresh G Advani; Gabriel O Shonaike

By Suresh G Advani; Gabriel O Shonaike

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Moreover, stiffeners with a smaller width and higher thickness were more efficient than ones with a larger width and lower thickness when compared on an equal volume basis. 6 times when thermal stresses based on a uniform ∆T = 100°C are included. For this case, the optimal lay-up is (73/–67)s for the plate and (–3)s for the stiffeners. If the optimization includes the effect of thermal stresses, the optimal plate lay-up is (78/–72)s and stiffener lay-up is (–1)s, which produces six times higher loads than an unstiffened plate of (45/–45)s.

4 shows the importance of shifting weighting factors on θopt. Next, the case of discrete ply angles is studied by choosing θ from a given set of orientations. In the present problem, 0°, ±45°, and 90° are specified as the given set. 4, which shows the optimal stacking sequences for various aspect ratios with k = 1. In the biaxial case, all edges are loaded and the elastic restraints on the boundaries do not exist. 73 Source: S. , 35: 117–130, 1996, with permission from Elsevier Science. 5 Design index vs.

The method is illustrated in the context of this buckling maximization problem. 31) 0 where E1 = E10 + E˜1 , E2 = E20 + E˜ 2 , ν12 = ν12 + ν˜ 12 , and G12 = G120 + G˜ 12 , where the superscripts 0 and ~ refer to the deterministic and uncertain components, respectively. 34) ~ where the minimization is over [ E ] ∈ S. The minimum of Ncr(E) is on the boundary ∂S of the set S, and 4 ∑ ~ ( E i/ei)2 = α2 1 ~ so that the minimization is actually over [ E ] ∈ ∂S. 35) where µ is the Lagrangian multiplier.

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