Longitudinal Fracture Analysis with Taking into Account the Elongation Speed of Inhomogeneous Rod Subjected to Centric Tension

Abstract

The present theoretical study deals with longitudinal fracture of a structural component representing inhomogeneous rod that is loaded in centric tension at its lower end. The upper end of the rod is clamped. The rod is continuously inhomogeneous in radial direction. Besides, the rod exhibits non-linear elastic mechanical behaviour. The parameters involved in the non-linear constitutive law used when analyzing the longitudinal fracture behaviour are smooth functions of the running radius of the rod cross-section. The basic aim of the paper is to analyze the longitudinal fracture with taking into account the influence of the rod elongation speed. The case when the elongation varies with time at a constant speed is treated in detail. The necessary equations for deriving the parameters of the stressed and strained state of the rod are formulated. The problem for determination of strain energy release rate (SEER) for the longitudinal crack in the rod is solved with considering the effect of the elongation speed.

Keywords

• Elongation speed
• Centric tension
• Rod
• Fracture

References

1. Rizov, V. (2024). Longitudinal fracture analysis with taking into account the elongation speed of ınhomogeneous rod subjected to centric tension. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 29, 69-75.