ON THE THREE-DIMENSIONAL THEORY OF CRACKED PLATES

This paper discusses a method for solving three-dimensional mixed-boundary-value problems which arise in elastostatics. Specifically, the method is applied to a plate of finite thickness which contains a finite, through the thickness, line crack. The analysis shows that (a) in the interior of the plate only the stresses sigma-x, sigma-y, sigma-z, and tau-xy are singular of order 1/2; (b) in the vicinity of the corner point all the stresses are singular of order ((1/2) plus 2 nu); as the thickness h approaches infinity the plane strain solution is recovered and; (d) as nu approaches o the plane stress solution is recovered. Finally, it is found that in the neighborhood of the corner points, even though the displacements are singular for certain values of the Poisson's ratios, the derived stress field satisfies the condition of local finite energy. /Author/

• Corporate Authors:

  American Society of Mechanical Engineers

  Two Park Avenue
  New York, NY  United States  10016-5990
• Authors:
  • Folias, E S
• Publication Date: 1975-9

Media Info

• Features: Appendices; Figures; References;
• Pagination: p. 663-674
• Serial:
  • ASME Journal of Applied Mechanics
  • Volume: 42
  • Issue Number: 3
  • Publisher: American Society of Mechanical Engineers

Subject/Index Terms

• TRT Terms: Boundary value problems; Cracking; Electrostatics; Equations; Mathematical analysis; Mathematical models; Poisson ratio; Stresses; Structural plates; Thickness
• Uncontrolled Terms: Plates
• Old TRIS Terms: Poissons ratio
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00127255
• Record Type: Publication
• Report/Paper Numbers: Ser E
• Files: TRIS
• Created Date: Nov 18 1975 12:00AM