Mathematical analysis on the propagation of Griffith crack in an initially stressed strip subjected to punch pressure

Abstract

The purpose of this study is to analyze the features of a moving Griffith crack in an initially stressed infinitely long and finitely thick isotropic strip with moving parallel punches of constant load acting on its boundaries owing to plane wave propagation under point loading. Coupled singular integral equations and singularities of the Cauchy-type are used to formulate the present model, Dirac delta function is employed to analyze point load located at the moving crack edge, and Hilbert transformation properties are used for obtaining stress intensity factor (SIF) with constant point loading. Numerical simulations and graphical illustrations are performed to analyze the influences of the prevalent parameters, viz. initial stresses, punch pressure, distinct positions of point load, length and speed of the crack on the SIF for the considered isotropic material strip.

Keywords:

• Stress intensity factor
• isotropic layer
• crack
• punch
• integral equation
• initial stress

Acknowledgement

The authors also convey their sincere thanks to Indian Institute of Technology (ISM) Dhanbad, School of Basic and Applid Sciences, Galgotias University, Greater Noida, Uttar Pradesh and Institute of Technical Education and Research (ITER), Siksha ‘O’ Anusandhan (Deemed to be University), Bhubaneswar, for providing the necessary facilities to carry out this research work.

Disclosure statement

On behalf of all authors, the corresponding author states that there is no conflict of interest.