ANISOTROPIC HYBRID DISPLACEMENT SINGULARITY ELEMENT

The displacement-hybrid method of finite element formulation is extended to the development of a singularity super finite element which can be used to model the behavior of a sharp crack in a rectilinearly anisotropic plane. Functional representations of the displacement field surrounding a sharp crack in a rectilinearly anisotropic plane are developed from the planar form of the linear theory of anisotropic elasticity. The formulation of the displacement-hybrid singularity super element is based on a variational principle obtained from a generalization of the total potential energy. The displacement-hybrid model singularity element which results from the formulation possesses boundary and interior displacement fields which are distinctly different in nature. Certain available numerical results, which tend to confirm the validity of the formulation, are presented. /Author/

• Supplemental Notes:
  • Presented at the ASCE National Structural Engineering Convention and Exposition, New Orleans, Louisiana, April 14-18, 1975.
• Corporate Authors:

  American Society of Civil Engineers

  345 East 47th Street
  New York, NY  United States  10017-2398
• Authors:
  • Apostal, M C
  • Lee, G C
  • Braun, F W
  • JORDAN, S
• Publication Date: 1977-2

Media Info

• Features: Appendices; Figures; References;
• Pagination: p. 335-354
• Serial:
  • Journal of the Structural Division
  • Volume: 103
  • Issue Number: ST2
  • Publisher: American Society of Civil Engineers

Subject/Index Terms

• TRT Terms: Anisotropy (Physics); Cracking; Dislocation (Geology); Elasticity (Mechanics); Finite element method; Mathematical models
• Uncontrolled Terms: Hybrids; Models
• Old TRIS Terms: Anisotropy; Finite elements
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00165376
• Record Type: Publication
• Report/Paper Numbers: ASCE 12751 Proceeding
• Files: TRIS
• Created Date: Mar 7 1978 12:00AM