INCREMENTAL FINITE ELEMENT ANALYSIS OF LARGE ELASTIC DEFORMATION PROBLEMS

Incremental variational principles involving the rate of displacement are obtained in Lagrangian and Eulerian description. Both of them lead straight-forwardly to finite element discretization, resulting in incremental matrix equations. The various acceptable generalizations of Hooke's law for large displacements and small strains are reviewed. We discuss the respective merits of the Lagrangian and Eulerian formulation as well as the value of the approximation based on an intuitive updating of the coordinates. An application is made to a generalized plane stress problem.

• Corporate Authors:

  Brown University

  Division of Engineering
  Providence, RI  United States  02912
• Authors:
  • Dupuis, G A
• Publication Date: 1971-5

Media Info

• Features: Figures;
• Pagination: 30 p.

Subject/Index Terms

• TRT Terms: Elastic deformation; Elasticity (Mechanics); Finite element method; Structural analysis
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00019482
• Record Type: Publication
• Report/Paper Numbers: CNN0001467A01910007 Tech Rpt
• Files: TRIS
• Created Date: Nov 8 1973 12:00AM