VARIATIONAL METHODS FOR CRACK INTENSITY FACTORS AND PLASTIC REGIONS OF DUGDALE MODEL

The mixed boundary value problems for cracks can be reduced to Fredholm integral equations. In general, these integral equations have complicated kernels and have to be solved by approximate methods. In the paper variational methods are presented to obtain approximate solutions of the integral equations. The classical variational principle is used to find the stress intensity factors while Noble's modified variational method gives the plastic regions of Dugdale cracks. A straight crack in an infinite plate and a penny-shaped crack in an infinite medium are taken as examples to illustrate the variational method. The approximate results are fairly close to the exact ones. The methods are simple and quite general.

• Supplemental Notes:
  • Also available in Engineering Fracture Mechanics, V4 p119-128, 1972.
• Corporate Authors:

  Watervliet Arsenal

  Watervliet, NY  United States  12189
• Authors:
  • Hussain, M A
  • Pu, S L
• Publication Date: 1970-11-20

Media Info

• Pagination: 13 p.

Subject/Index Terms

• TRT Terms: Cracking; Fracture mechanics; Plastic deformation; Plasticity; Stresses
• Uncontrolled Terms: Crack propagation; Stress intensity factors
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00040901
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: WVT-723 Tech Rpt
• Files: TRIS
• Created Date: Feb 14 1973 12:00AM