Finite Element Validation of Theoretical HRR Solution For Mode I Crack Tip Stress Field In EPFM

International Journal of Mechanical Engineering

© 2025 by SSRG - IJME Journal

Volume 12 Issue 11

Year of Publication : 2025

Authors : Sunil Bhat, Yashpal Khedkar, C. Solaimuthu

10.14445/23488360/IJME-V12I11P108

How to Cite?

Sunil Bhat, Yashpal Khedkar, C. Solaimuthu, "Finite Element Validation of Theoretical HRR Solution For Mode I Crack Tip Stress Field In EPFM," SSRG International Journal of Mechanical Engineering, vol. 12,  no. 11, pp. 78-85, 2025. Crossref, https://doi.org/10.14445/23488360/IJME-V12I11P108

Abstract:

Stress field near and in front of the tip of a crack in EPFM regime is governed by energy release rate parameter, “J integral”, which is the plastic analogue of stress intensity parameter “K” commonly employed in LEFM and SSY regimes that are characterized by minimal crack tip plasticity. The available theoretical Hutchinson, Rice, and Rosengren (HRR) solution of the crack tip stress field in EPFM necessitates the use of J in the formulations. This paper presents a finite element analysis of a mode I cracked ductile steel plate under EPFM conditions for obtaining the value of J integral and the stress values in a relatively large crack tip plastic zone, the case falling within the purview of EPFM. Work hardening coefficient and other material constants of steel are determined from the Ramberg-Osgood relation. EPFM condition at the crack tip is numerically simulated by using ANSYS 12.0 software. J integral is obtained over various cyclic nodal paths near and around the crack tip in the post-processor finite element solution. The mean value of J is used in the HRR radial stress solution at a particular node having distinct radial and angular coordinates. The same exercise is repeated for several nodes in the plastic zone. Finite element values of radial stresses at selected nodes are compared with those obtained from the HRR solution. The results nearly match each other, thereby validating the HRR solution.

Keywords:

Elastic Plastic Fracture Mechanics, Finite Element Modeling, HRR solution, J integral.

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