Single variable-based unified numerical model for plane elastic problems of stress analysis in Cartesian and polar coordinate systems
by Abhishek Kumar Ghosh; S. Reaz Ahmed; Partha Modak
International Journal of Structural Engineering (IJSTRUCTE), Vol. 11, No. 4, 2021

Abstract: A unified numerical model for stress analysis of plane problems of structural mechanics in Cartesian and polar coordinate systems is presented. The traditional two-variable problem of stress analysis is reduced to a single-variable problem through the use of a scalar potential function defined in terms of the displacement components. The resulting mathematical formulations for Cartesian and the polar coordinate systems differ significantly in terms of derivatives and coefficients present. However, they are discretised in a fashion so that they can be expressed as a single set of difference equations applicable to both coordinate systems. The resulting unified numerical model handles the problems of straight and curved geometries using Cartesian and polar coordinate systems, respectively. The model is validated against the analytical solutions of known problems in both coordinate systems. Finally, the effects of the initial curvature on stresses and displacements in both ends fixed beams with and without intermediate supports are discussed.

Online publication date: Mon, 11-Oct-2021

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Structural Engineering (IJSTRUCTE):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com