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  USA  91125
  • Authors:
    • Knowles, J K
    • Sternberg, E
  • Publication Date: 1973-1

Media Info

  • Pagination: 81 p.

Subject/Index Terms

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