A GENERALIZED ELASTIC THEORY OF FRACTURE

A theory of fracture is proposed for brittle and near brittle fracture. The theory includes the Griffith-Irwin theory as a special case. Developed for opening mode loading in plane geometry, the theory is based on a solution for a slit in an infinite elastic plate with an arbitrary relative displacement along the slit. Particular relative displacement functions are chosen and studied in detail by calculating the mean stress, maximum shear stress, maximum tensile stress, and energy density fields as well as the tractions applied on the slit. The particular solutions chosen for examination all exhibit singularities in the stress fields at the slit end, with behavior ranging from the classical stress-free slit elastic solution to the logarithmic solutions of Ju. A stress intensity factor is proposed based on the solutions that generate fractional power singularities. This stress intensity factor is a generalization of the Irwin-Griffith factor. (Author)

• Corporate Authors:

  University of New Mexico, Albuquerque

  Department of Mechanical Engineering
  Albuquerque, NM  United States  87106
• Authors:
  • Ju, F D
  • Browning, R V
• Publication Date: 1972-1

Media Info

• Pagination: 85 p.

Subject/Index Terms

• TRT Terms: Cracking; Elasticity (Mechanics); Fracture mechanics; Stresses
• Uncontrolled Terms: Crack propagation; Stress intensity factors
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00034437
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: AFOSR-TR-72-0235 Tech Rpt
• Contract Numbers: AF-AFOSR-2135-71
• Files: TRIS
• Created Date: Sep 29 1973 12:00AM