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A Geometrically Inspired Model for Kirchhoff Shells with Cartan’s Moving Frames

Dhas, B and Roy, D (2021) A Geometrically Inspired Model for Kirchhoff Shells with Cartan’s Moving Frames. In: 7th International Congress on Computational Mechanics and Simulation, 2019, 11-13 December 2019, Mandi, pp. 163-176.

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Official URL: https://doi.org/10.1007/978-981-15-8138-0_14


This work attempts at an entirely novel reformulation of Kirchhoff shells using the theory of moving frames which is a powerful alternative method to describe the geometry of smooth manifolds. In this setup, the defining geometrical features of the non-Euclidean manifold co-evolve with deformation, which means that the model is inherently equipped to accurately describe (possibly irreversible) changes in the referential geometry. Insights from the geometrically transparent kinematics as well as an analytical solution reported for thin strips undergoing very large cylindrical bending explicate on the far-reaching implications of the proposed shell model and its possible spin-offs.

Item Type: Conference Paper
Publication: Lecture Notes in Civil Engineering
Publisher: Springer Science and Business Media Deutschland GmbH
Additional Information: The copyright for this article belongs to Springer Science and Business Media Deutschland GmbH.
Keywords: Differentiable manifolds; Kirchhoff shells; Moving frames; Surfaces
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Date Deposited: 06 May 2023 03:24
Last Modified: 06 May 2023 03:24
URI: https://eprints.iisc.ac.in/id/eprint/81411

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