Abstract
In this paper, an analytical approach using membrane theory to derive the closed-form solution for displacement components of elliptic toroidal vessels under uniform internal pressure is presented. Membrane stress and displacement components at the crest, intrados, and extrados of elliptic toroidal vessels are expressed in the simplest forms, which can be written in terms of non-dimensional parameters with stress and displacement factors. The validation of analytical results is carried out by the finite element procedures based on differential geometry and the principle of virtual work. The effects of increasing radius and load variations on displacement behavior of elliptic toroidal vessels, including many engrossing characteristics obtained from a parametric study, are investigated thoroughly and discussed in detail herein. In addition, this study also provides charts of stress and displacement factors for engineering applications, which are extremely useful for design engineers to easily evaluate stresses and displacements at the point of the crest, intrados, and extrados.
Published Version
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