FINITE-DEFORMATION ANALYSIS OF THE ELASTOSTATIC FIELD NEAR THE TIP OF A CRACK. RECONSIDERATION AND HIGHER-ORDER RESULTS

In this paper we return to the asymptotic analysis, within the nonlinear equilibrium theory of compressible elastic solids, of the deformations and stresses near the tip of a traction-free crack in a slab of all-around infinite extent under conditions of plane strain. As before, the loading at infinity is taken to be one of uniform uni-axial tension at right angles to the faces of the crack. We show that once a restrictive assumption introduced at the start of our earlier asymptotic treatment of the problem is relinquished, certain perplexing anomalies encountered in the previous analysis no longer arise. The present reconsideration of the problem leads to modifications in the dominant-order results for the "secondary" deformations and stresses, while those pertaining to the physical quantities of primary interest remain unaffected. Furthermore, this investigation encompasses some higher-order considerations, which supply an essential clarification and improvement of the lowest-order asymptotic solution.

• 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: 1974-3

Media Info

• Features: References;
• Pagination: 57 p.

Subject/Index Terms

• TRT Terms: Cracking; Elastic deformation; Fracture mechanics
• Uncontrolled Terms: Crack propagation
• Old TRIS Terms: Elastostatics
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00057040
• Record Type: Publication
• Source Agency: Ship Structure Committee
• Report/Paper Numbers: No. 29 Tech. Rpt.
• Contract Numbers: N00014-67A-0094-0020
• Files: TRIS
• Created Date: Jul 31 1974 12:00AM