FINITE ELEMENT FORMULATION BY NESTED INTERPOLATIONS: APPLICATION TO A QUADRILATERAL THIN PLATE BENDING ELEMENT

A simple twelve freedom quadrilateral thin plate bending finite element is obtained by the 'method of nested interpolations'. In this method cubic and linear interpolations are respectively applied to the rotations parallel and normal to each side to transform the twelve global freedoms to sixteen local freedoms and a simple biquadratic Lagrangian interpolation is able to be applied to the latter. This is perhaps the most direct means of forming quadrilateral plate bending elements and applied to standard test problems the present element gives good results. Further demonstrations of the nested interpolation procedure illustrate the wide applications remaining for this method. (Author/TRRL)

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/08190259
• Corporate Authors:

  Institution of Engineers

  11 National Circuit
  Barton, A.C.T.,   Australia 
• Authors:
  • Mohr, G A
• Publication Date: 1983-8

Media Info

• Features: Figures; References; Tables;
• Pagination: p. 199-210
• Serial:
  • Institution of Engineers (Australia) Civ Eng Trans
  • Volume: 2
  • Issue Number: 3
  • Publisher: Institution of Engineers
  • ISSN: 0819-0259

Subject/Index Terms

• TRT Terms: Bending; Deflection; Finite element method; Interpolation; Lagrangian functions; Rotation; Structural plates; Thin plates
• Uncontrolled Terms: Plate
• ITRD Terms: 5586: Deflection; 6490: Finite element method; 3491: Slab
• Subject Areas: Bridges and other structures; Design; Highways; I24: Design of Bridges and Retaining Walls;

Filing Info

• Accession Number: 00381055
• Record Type: Publication
• Source Agency: ARRB
• Files: ITRD, TRIS, ATRI
• Created Date: Apr 30 1984 12:00AM