AN ASYMPTOTIC FINITE-DEFORMATION ANALYSIS OF THE ELASTOSTATIC FIELD NEAR THE TIP OF A CRACK

The paper contains an asymptotic treatment, consistent with the fully nonlinear equilibrium theory of compressible elastic solids, of the stresses and deformations near the tip of a traction-free crack in a slab of all-around infinite extent under conditions of plane strain. The loading applied at infinity is taken to be one of uniform uni-axial tension at right angles to the faces of the crack. For the particular class of elastic materials considered the tensile stress in large homogeneous uni-axial extension is asymptotic to a continuously adjustable power of the corresponding principal stretch. The asymptotic analysis of the foregoing crack problem is reduced to a nonlinear eigenvalue problem, the solution of which is established in closed form, in terms of elementary functions and certain transcendental integrals of such functions. (Author Modified Abstract)

• Corporate Authors:

  California Institute of Technology

  Division of Engineering and Applied Science
  1200 East California Boulevard
  Pasadena, CA  United States  91125
• Authors:
  • Knowles, J K
  • Sternberg, E
• Publication Date: 1973-1

Media Info

• Pagination: 81 p.

Subject/Index Terms

• TRT Terms: Cracking; Deformation; Elasticity (Mechanics); Fracture mechanics; Strain (Mechanics); Stresses; Structural analysis
• Uncontrolled Terms: Crack propagation
• Old TRIS Terms: Elastostatics
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00046114
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: TR-27 Tech Rpt
• Contract Numbers: N00014-67-A-0094-002
• Files: TRIS
• Created Date: Oct 31 1973 12:00AM