A STAR-SHAPED ARRAY OF CURVILINEAR CRACKS IN AN INFINITE ISOTROPIC ELASTIC MEDIUM

The problem of a symmetrical star-shaped array of curvilinear cracks in an infinite isotropic elastic medium is reduced, by using the complex potential technique of Muskhelishvili (1), to a complex Cauchy-type singular integral equation on one of the cracks together with a complex condition of single-valuedness of displacements. This equation can be solved numerically by reduction to a system of linear equations after application of the Lobatto-Chebyshev numerical integration method for the approximation of the integrals involved in it and an appropriate selection of the points of collocation. An application to some cases of circular-arc-shaped cracks is made. /Author/

• Corporate Authors:

  American Society of Mechanical Engineers

  Two Park Avenue
  New York, NY  United States  10016-5990
• Authors:
  • Theocaris, P S
  • Loakimidis, N I
• Publication Date: 1977-12

Media Info

• Features: Figures; References;
• Pagination: p. 619-624
• Serial:
  • ASME Journal of Applied Mechanics
  • Volume: 44E
  • Issue Number: 4
  • Publisher: American Society of Mechanical Engineers

Subject/Index Terms

• TRT Terms: Cracking; Dislocation (Geology); Elasticity (Mechanics); Isotropy; Linear equations; Mathematical models; Phased arrays
• Old TRIS Terms: Arrays
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00170813
• Record Type: Publication
• Files: TRIS
• Created Date: Mar 7 1978 12:00AM