Computation of the Necking in Bars Without Geometrical Imperfection

Year : 2024 | Volume : 02 | Issue : 02 | Page : 10 19
    By

    Tapas Kumar Datta,

  1. Alumnus, Department of Metallurgical Engineering, Indian Institute of Technology, Kharagpur, West Bengal, India

Abstract

This paper presents a finite element analysis to compute the neck profiles of smooth, circular cylindrical bars in shear-free grip under uniaxial tensile load. The analysis uses 4-node quadrilateral element with linear displacement variation, as well as 8-node Serendipity quadrilateral element with curved sides and a quadratic variation of the displacement field, for power law hardening materials that follow von Mises plasticity. All the elements are based on isoparametric formulation. The analysis computes the reduction of area for given elongation and the results are compared with the data of percentage elongation and reduction of area (at fracture) for a few materials as available in literature to find close correspondence. This analysis simulates the neck profiles by implementing only that the elements away from the neck stop deforming.

Keywords: Ductility, elongation, reduction-of-area, von Mises plasticity, finite element analysis.

[This article belongs to International Journal of Fracture Mechanics and Damage Science ]

How to cite this article:
Tapas Kumar Datta. Computation of the Necking in Bars Without Geometrical Imperfection. International Journal of Fracture Mechanics and Damage Science. 2024; 02(02):10-19.
How to cite this URL:
Tapas Kumar Datta. Computation of the Necking in Bars Without Geometrical Imperfection. International Journal of Fracture Mechanics and Damage Science. 2024; 02(02):10-19. Available from: https://journals.stmjournals.com/ijfmds/article=2024/view=196774


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Regular Issue Subscription Review Article
Volume 02
Issue 02
Received 17/09/2024
Accepted 27/11/2024
Published 15/12/2024
202

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