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Equilibrium of elastic lattice shells

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Abstract

A model for shells consisting of a continuous distribution of embedded rods is developed in the framework of the direct theory of second-gradient elastic surfaces. The shell is constitutively sensitive to a convenient measure of the gradient of strain in addition to the metric and curvature of standard shell theory.

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Acknowledgements

Support provided by the US National Science Foundation through Grant CMMI 1538228 is gratefully acknowledged. Thanks are extended to F. dell’Isola, University of Rome, for sharing his insights on the nature of double forces.

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  1. Department of Mechanical Engineering, University of California, Berkeley, CA, 94720, USA

    D. J. Steigmann

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  1. D. J. Steigmann
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Correspondence to D. J. Steigmann.

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Steigmann, D.J. Equilibrium of elastic lattice shells. J Eng Math 109, 47–61 (2018). https://doi.org/10.1007/s10665-017-9905-y

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  • DOI: https://doi.org/10.1007/s10665-017-9905-y

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