Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Nonlinear Elastic Deformation of Mindlin Torus

Version 1 : Received: 14 July 2021 / Approved: 16 July 2021 / Online: 16 July 2021 (12:47:16 CEST)

How to cite: Sun, B. Nonlinear Elastic Deformation of Mindlin Torus. Preprints 2021, 2021070371 (doi: 10.20944/preprints202107.0371.v1). Sun, B. Nonlinear Elastic Deformation of Mindlin Torus. Preprints 2021, 2021070371 (doi: 10.20944/preprints202107.0371.v1).

Abstract

The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff-Love, and linear Kirchhoff-Love models are close to each other. The study further reveals that the linear Kirchhoff-Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff-Love theory of the torus, which has not been reported in the literature.

Subject Areas

circular torus; nonlinear deformation; shear deformation; Mindlin; Gauss curvature; Maple

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.