NEW VARIATIONAL FUNCTIONAL FOR THE FINITE-ELEMENT METHOD AND ITS APPLICATION TO PLATE AND SHELL PROBLEMS

A new variational functional for the finite-element method is derived by using the Lagrange multiplier method. The derived functional is a very general one and almost all the functionals ever used in the finite element analysis are included as its special cases. For practical applications, a stiffness matrix of a triangular finite element for plate and shell problems is derived and some numerical examples are illustrated to demonstrate the validity of this method.

• Corporate Authors:

  North-Holland Publishing Company

  Box 211
  1000AE Amsterdam,   Netherlands 

  North Holland Publishing Company

  68-70 N.Z. Voorburgwal, Box 103
  Amsterdam C,   Netherlands 
• Authors:
  • Kikuchi, F
  • Ando, Y
• Publication Date: 1972

Media Info

• Features: References;
• Pagination: p. 95-113
• Serial:
  • Nuclear Engineering and Design
  • Volume: 21
  • Issue Number: 1
  • Publisher: North Holland Publishing Company

Subject/Index Terms

• TRT Terms: Deflection; Finite element method; Shells (Structural forms); Stiffness matrix; Stresses; Structural plates
• Old TRIS Terms: Plate deflections; Shell stresses; Shell theory; Stiffness matrices
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00041525
• Record Type: Publication
• Source Agency: Engineering Index
• Files: TRIS
• Created Date: Mar 2 1973 12:00AM