Closed-Form Stiffness Matrix for the Four-Node Quadrilateral Element with a Fully Populated Material Stiffness

This technical note presents closed-form finite-element stiffness formulations for a 4-node quadrilateral element with a fully populated material stiffness--required for the nonlinear analysis of reinforced concrete membrane structures. With material stiffness matrix accounting for anisotropy of the materials and prestrain effects, the developed closed-form element stiffness can be incorporated into a nonlinear finite-element algorithm. Through use of the developed explicit expressions, the examples provided show the computational effort required to form the stiffness matrix is greatly reduced, compared to the conventional numerical integration scheme or the elastic-material-stiffness-oriented Griffths' FORTRAN subroutine.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/07339399
• Authors:
  • Zhou, C E
  • Vecchio, Frank J
• Publication Date: 2006-12

Language

• English

Media Info

• Media Type: Print
• Features: Figures; References; Tables;
• Pagination: pp 1392-1395
• Serial:
  • Journal of Engineering Mechanics
  • Volume: 132
  • Issue Number: 12
  • Publisher: American Society of Civil Engineers
  • ISSN: 0733-9399
  • EISSN: 1943-7889
  • Serial URL: http://ascelibrary.org/journal/jenmdt

Subject/Index Terms

• TRT Terms: Algorithms; Concrete structures; Finite element method; Nonlinear systems; Reinforced concrete; Stiffness; Structural analysis; Structural mechanics
• Uncontrolled Terms: Closed form solutions
• Subject Areas: Bridges and other structures; Design; Highways; I24: Design of Bridges and Retaining Walls;

Filing Info

• Accession Number: 01042221
• Record Type: Publication
• Files: TRIS
• Created Date: Feb 14 2007 6:51PM