A three‐dimensional strain concentration equation for countersunk holes

Author:

Bhargava A1,Shivakumar K N2

Affiliation:

1. Infosys Technologies Limited, Plano, Texas, USA

2. Department of Mechanical and Chemical Engineering, North Carolina Agricultural and Technical State University, Greensboro, North Carolina, USA

Abstract

Countersunk rivets are used to join components to achieve aerodynamic or hydrodynamic surfaces. At countersunk holes, three‐dimensional stress and strain concentrations occur. Previously, the present authors developed a three‐dimensional equation for the stress concentration factor Kt through a detailed finite element analysis. This paper extends the study to include an equation for three‐dimensional strain concentration factor K using a similar approach. The resulting equation was verified by finite element analysis for a wide range of countersunk hole configurations and plate sizes. Results showed that the maximum strain concentration is at the countersunk edge. The developed equation is within 5 per cent of the finite element results for all practical cases. It was also found that the K and Kt expressions are similar and K≥ Kt. The maximum difference between the two is 8 per cent (for = 0.3) or 2 for straight‐shank holes and about 2/2 for countersunk holes. The proposed equation is a valuable tool for strain‐based design of structural elements.

Publisher

SAGE Publications

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials,Modelling and Simulation

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