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

By Suresh G Advani; Gabriel O Shonaike

ISBN-10: 1587160471

ISBN-13: 9781587160479

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Miki et al. (1989, 1990a, 1990b, 1993, 1997), Yang and Ma (1989), Shao et al. (1991, 1992, 1993), Murotsu et al. (1994), Boyer et al. (1997), and Nozomu et al. (1998) applied reliability methods for the optimum design of laminated composites subject to load and material uncertainties. Nonprobabilistic techniques were also employed to study the behavior of structures subject to uncertain load conditions when there is no information available on statistical distributions and probability functions of relevant quantities.

54)), which yields the least favorable loading denoted by {N*}. 61) where θ k* denotes the optimal set of ply angles. 28, Xt = Xc = 1500 MPa, Yt = 40 MPa, Yc = 246 MPa, and S = 68 MPa. Maximum values of Nx and Ny are specified as 1 MN/m. The notations Rf(U1) and Rf(U2) indicate that Rf applies to loading (Nx, Ny) ∈ Ui, i = 1 or 2. 6 gives the values of the reserve factor Rf with {N} ∈ U1 and the optimal lay-ups. The first column is the multiplier of Nx. 6 shows the values of Rf under the uncertain loads.

Strength optimization of laminates under transverse loading was studied by Song et al. (1995), who used the finite element method for analysis and the BFGS method (named after Broyden, Fletcher, Goldfarb, and Shanno) for numerical optimization. 16) where F(θk) = (σ1/X)2 – σ1σ2/X2 + (σ2/Y) 2 + (τ12/S)2, with σ1, σ2, and τ12 denoting the stresses in the material direction and X, Y, and S the strength values. The results were given for 4-, 6-, and 8-layered symmetric laminates made of T300/NS208 graphite/epoxy subject to simply supported or clamped boundary conditions.

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Advanced polymeric materials : structure property relationships / [...] XA-GB by Suresh G Advani; Gabriel O Shonaike

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