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

By Suresh G Advani; Gabriel O Shonaike

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Fm Page 23 Monday, June 21, 2004 10:51 PM 2. The solution of the thermal buckling problem for a given θ by finite elements 3. , uniform, linear, and nonlinear temperature distributions across the plate. 4° for (C, S, C, S) boundary conditions, where S represents the simply supported and C the clamped boundary. Optimal ply angle decreases with increasing aspect ratio for simply supported plates and stays fairly uniform for (C, S, C, S) plates. In the case of clamped plates, the optimal angle is less than 40° for aspect ratios less than 1 and above 50° for higher aspect ratios.

29) with i = 1, 2, …, I, where I denotes the number of candidate laminates. 30) In the case of discrete design variables, the fiber orientations are chosen from a given set of angles, the most practical ones being 0°, 45°, –45°, and 90°. 01. 28. Five laminate configurations with eight layers referred to as laminate types 1, 2, 3, 4, and 5 are specified as candidate designs with stacking sequences {θ, –θ, θ, –θ}s, {θ, –θ, 90, 0}s, {θ, –θ, 0, 0}s, {θ, –θ, 0, 90}s, and {θ, –θ, 90, 90}s. 25. 2 shows the dependence of K*, N*, P*, and DI on θ for a type 1 laminate.

6 Minimum thickness vs. the uncertainty parameter for single-load cases, and the insert for multiple-load cases. (Reprinted from S. , 1997, ASME J. Appl. , 64:90–96. 7 Optimal ply angle vs. the uncertainty parameter for single-load cases, and the insert for multiple-load cases. (Reprinted from S. , 1997, ASME J. Appl. , 64:90–96. 8 Minimum thickness vs. the aspect ratio for single-load cases, and the insert for multiple-load cases. (Reprinted from S. , 1997, ASME J. Appl. , 64:90–96. 5, indicating that neglecting the effect of uncertainty leads to substantial design errors.

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