A NEW THEORY OF SPHERICAL SHELLS WITH CRACKS

In this work an improved theory of shallow spherical shells which includes the effect of transverse shear deformation is derived. The resulting tenth order system of equations are uncoupled and all five boundary conditions along an edge of the shell can be satisfied. The method of integral transforms is used to formulate and solve the symmetric problem for a spherical shell containing a finite meridional crack. The stress field in the neighborhood of the crack tip is obtained. In contrast to the classical shallow shell theory, the angular variation of the stress resultants coincide with that of the stretching, and the Reissner theory of bending of thin plates so that a combined stress-intensity factor can be defined.

• Corporate Authors:

  Lehigh University

  Institute of Fracture and Solid Mechanics
  Bethlehem, PA  United States  18015
• Authors:
  • SIH, G C
  • Hagendorf, H C
• Publication Date: 1972-7

Media Info

• Features: References;
• Pagination: 49 p.

Subject/Index Terms

• TRT Terms: Cracking; Shells (Structural forms); Stresses
• Uncontrolled Terms: Crack propagation; Stress intensity factors
• Old TRIS Terms: Shell theory; Spherical shells
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00041863
• Record Type: Publication
• Source Agency: Ship Structure Committee
• Report/Paper Numbers: ONR-TR-72-3 Tech Rpt
• Contract Numbers: N00014-68-A-0514
• Files: TRIS
• Created Date: Apr 6 1973 12:00AM