ISSN: 0884-6804
Page Count: 4

Generalized Stress-Strain Relations of Laminated Composite Materials
SW, Tsai
Senior scientist, Materials Laboratory (AFWAL/MLBM), OH

Abstract

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.

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Paper ID: CTR10734J
DOI: 10.1520/CTR10734J
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