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We develop the elastic constitutive law for the resultant statically and kinematically exact, nonlinear, 6‐parameter shell theory. The Cosserat plane stress equations are integrated through‐the‐ thickness under assumption of the Reissner‐Mindlin kinematics. The resulting constitutive equations for stress resultant and couple resultants are expressed in terms of two micropolar constants: the micropolar...
In this paper geometrically nonlinear analysis of functionally graded shells in 6-parameter shell theory is presented. It is assumed that the shell consists of two constituents: ceramic and metal. The mechanical properties are graded through the thickness and are described by power law distribution. Formulation based on 2-D Cosserat constitutive model is used to derive constitutive relation for functionally...
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