Decomposition of curved rod displacements using Bernoulli-Navier displacements. Application to different loads of curved rods.

2026 · doi:10.22541/au.176853968.82690055/v1
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Abstract

In this paper, we present a mathematical approach of thin curved rods within the framework of linear elasticity. We show that any displacement of a curved rod is the sum of a Bernoulli-Navier displacement and residual displacements (including shearing and warping in the most complete decomposition). We give estimates of the terms of the decompositions with respect to δ and the L 2 norm of the strain tensor. Next, we present different loads applied to a curved rod and give the asymptotic behaviors of the corresponding linearized elasticity problems. Supplementary Material File (decomp-bn-pc-griso.pdf) - Download - 538.34 KB Information & Authors Information Version history Copyright This work is licensed under a Non Exclusive No Reuse License.

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Authors Metrics & Citations Metrics Article Usage 103views 80downloads Citations Download citation Georges GRISO. Decomposition of curved rod displacements using Bernoulli-Navier displacements. Application to different loads of curved rods.. Authorea. 16 January 2026. DOI: https://doi.org/10.22541/au.176853968.82690055/v1 DOI: https://doi.org/10.22541/au.176853968.82690055/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu.

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last seen: 2026-05-20T01:45:00.602351+00:00