What is it about?

We consider an elastic ring model and solve it through different approximation methods, such as the perturbation method, Newton's harmonic balance method, and the residual harmonic method. We simulate the elastic ring under external hydrostatic pressure, and some loading conditions have been considered. We set contact shape criteria for comparing our proposed methods with the exact solution. We also show some results of self-intersecting shapes.

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Why is it important?

In this paper, we show that Newton's harmonic balance formulation of the third order works well enough concerning the exact solutions. It is much simple to implement this model.


Critical values of the pressure leading to self-contact in a flexible and inextensible loop subjected to uniform hydrostatic pressure have been predicted using variants and approximations of the harmonic balance method. Moreover, a modified perturbation method has been employed that has shown some advantages over conventional perturbation approach to the problem. A comprehensive comparison is made between the results we obtain using various techniques and the existing reported results for different pressure loadings and rotational symmetries

Muhammad Sami Siddiqui
Institute of Business Administration

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This page is a summary of: Self-contact of a flexible loop under uniform hydrostatic pressure, European Journal of Mechanics - A/Solids, November 2020, Elsevier,
DOI: 10.1016/j.euromechsol.2020.104082.
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