A RAY THEORY FOR ELASTODYNAMIC STRESS INTENSITY FACTORS

Elastodynamic stress intensity factors generated by the intersection of wave motions with a crack are analyzed. It is shown that in an asymptotic approximation, which is valid for high frequencies, the stress intensity factors at the edge of a crack are related to the fields of incident rays by a matrix of stress intensity factor coefficients, which can be computed from canonical solutions. The canonical solutions are provided by the fields describing diffraction by a semi-infinite crack of plan body waves and plane surface waves, which are incident under an arbitrary angle with the edge of the crack. Several applications of the theory are presented. For cracks of finite length, the contributions due to the travelling back and forth of rays between the two crack tips is taken into account in a simple manner, to yield results which are in excellent agreement with numerical results obtained by other authors.

• Corporate Authors:

  Northwestern University, Evanston

  Technological Institute, 1801 Maple Street
  Evanston, IL  United States  60201
• Authors:
  • Achenbach, J D
  • Gautesen, A K
• Publication Date: 1977-3

Media Info

• Features: References;
• Pagination: 26 p.

Subject/Index Terms

• TRT Terms: Cracking; Dynamic modulus of elasticity; Loads; Stresses; Water waves
• Uncontrolled Terms: Elastodynamic analysis; Stress intensity factors
• Old TRIS Terms: Crack stresses; Wave loads
• Subject Areas: Hydraulics and Hydrology; Marine Transportation; Materials;

Filing Info

• Accession Number: 00149940
• Record Type: Publication
• Source Agency: Office of Naval Research
• Report/Paper Numbers: NU-SML-TR.No. 77-1 Intrm Rpt.
• Contract Numbers: N00014-76-0063
• Files: TRIS
• Created Date: Apr 13 1977 12:00AM