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.
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Acknowledgements
The support of the US National Science Foundation through Grant Number CMMI-1538228 is gratefully acknowledged. We are especially grateful to Professor Francesco dell’Isola for extensive discussions concerning the topic of this paper during his Visiting Professorship at UC Berkeley.
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Communicated by Francesco dell’Isola.
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Shirani, M., Luo, C. & Steigmann, D.J. Cosserat elasticity of lattice shells with kinematically independent flexure and twist. Continuum Mech. Thermodyn. 31, 1087–1097 (2019). https://doi.org/10.1007/s00161-018-0679-x
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DOI: https://doi.org/10.1007/s00161-018-0679-x