Accession Number:

AD0779072

Title:

Finite-Deformation Analysis of the Elastostatic Field Near the Tip of a Crack: Reconsideration and Higher-Order Results.

Descriptive Note:

Research rept.,

Corporate Author:

CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s):

• Knowles,James K.
• Sternberg,Eli

Report Date:

1974-03-01

Pagination or Media Count:

66.0

Abstract:

The authors 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. It is shown 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 high-order considerations, which supply an essential clarification and improvement of the lowest-order asymptotic solution. Author

Descriptors:

• *Cracks
• *Deformation
• *Stresses
• Elastic properties
• Strain(Mechanics)
• Fracture(Mechanics)
• Mathematical analysis

Subject Categories:

• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE