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The stress-strain relations for the conventional homogeneous isotropic and anisotropic material under plane stress are: σ=Qε, ε=Sσ where σ and ε are stress and strains, respectively, and Q and S are the modulus and compliance, respectively. In the theory of plates and shells, it is customary to use variables other than σ and ε, such as: N=Aε0, ε0=aN M = Dk, k=dM where N: stress resultant = ∫dz, M = moment : ∫zdz, ε0 : in-plane strain : mid-plane strain, k = curvature, where ε = zk, A = in-plane modulus = ∫Qdz, D = flexural modulus = ∫Qz2dz, a = A-1 = in-plane compliance, and d = D-1 = flexural compliance.
Senior scientist, Materials Laboratory (AFWAL/MLBM), Wright-Patterson AFB, OH
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