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Cosserat elasticity of lattice shells with kinematically independent flexure and twist

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A model of nonlinearly elastic surfaces composed of continuously distributed embedded fibers is formulated. This takes account of the elastic resistance of the fibers to extension, bending and twist. Twist… Click to show full abstract

A model of nonlinearly elastic surfaces composed of continuously distributed embedded fibers is formulated. This takes account of the elastic resistance of the fibers to extension, bending and twist. Twist is regarded as being kinematically independent of surface deformation, just as the twist in a spatial Kirchhoff rod is independent of the deformation of the curve of the rod.

Keywords: lattice shells; twist; kinematically independent; cosserat elasticity; elasticity lattice; shells kinematically

Journal Title: Continuum Mechanics and Thermodynamics
Year Published: 2019

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