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

• Abhishek Kumar Singh ^[1] ; Ajeet Kumar Singh ^[1] ; Sayantan Guha ^[1] ; Deepak Kumar ^[1]
  1. [1] Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India
• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 52, Nº. 7, 2024, págs. 4133-4151
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.