APPROXIMATE DETERMINATION OF STRESSES NEAR NOTCHES AND CORNERS IN ELASTIC MEDIA BY AN INTEGRAL EQUATION METHOD

A numerical method for determining stresses near corners and cracks in two-dimensional elastic bodies is presented. The method is based on an integral equation formulation which uses the character of the displacements near such irregular boundary points. Kernels for the integral equations at points along smooth portions of the boundary are obtained from the solutions to concentrated force problems in the usual manner. The most significant part of the study consists of the development of convenient new kernels for the integral equations written at the irregular boundary points. Suitable numerical techniques are used to convert the set of integral equations to a set of linear algebraic equations which involve the boundary values as unknowns. Accurate results are obtained for three sample problems using a relatively small number of simultaneous equations. Moreover, the results are stable with respect to the number and distribution of boundary points. (Author)

• Corporate Authors:

  University of Illinois, Urbana-Champaign

  Department of Civil and Environmental Engineering
  205 North Mathews Avenue
  Urbana, IL  United States  61801-2352
• Authors:
  • Barone, M R
  • Robinson, A R
• Publication Date: 1971-3

Media Info

• Pagination: 122 p.

Subject/Index Terms

• TRT Terms: Cracking; Elasticity (Mechanics); Stresses
• Uncontrolled Terms: Conformal mapping
• Old TRIS Terms: Crack stresses; Notch stress
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00019162
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: Struc. Res. Ser-374 Civ Eng St, UILU-ENG-71-2009
• Files: TRIS
• Created Date: Oct 29 1973 12:00AM