FINITE ELEMENT FORMULATIONS FOR LARGE DISPLACEMENT AND LARGE STRAIN ANALYSIS

Starting from continuum mechanics principles, finite element incremental formulations for nonlinear static and dynamic analysis are reviewed and derived. No new formulation is presented. The aim in the report is a consistent summary, comparison, and evaluation of the two formulations, which are used in the general purpose nonlinear static and dynamic analysis program NONSAP. The general formulations include large displacements, large strains, material nonlinearities and nonconservative forces. For specific solutions in the report, elastic and hyperelastic materials only are considered. The numerical solution of the continuum mechanics equations is achieved in NONSAP using isoparametric finite element discretization. The specific matrices which need to be calculated in the formulations are discussed. (Author)

• Corporate Authors:

  University of California, Berkeley

  Division of Structural Engineering and Structural Mechanics
  Berkeley, CA  United States  94720
• Authors:
  • Bathe, K J
  • Ramm, E
  • Wilson, E L
• Publication Date: 1973-9

Media Info

• Pagination: 74 p.

Subject/Index Terms

• TRT Terms: Classical field theory; Computer programming; Dislocation (Geology); Dynamic modulus of elasticity; Dynamic structural analysis; Elasticity (Mechanics); Finite element method; Graphics; Numerical integration; Static structural analysis; Strain (Mechanics); Structural analysis
• Uncontrolled Terms: Elastodynamic analysis
• Old TRIS Terms: Elastic theory; Elastostatics; Graphic methods; Nonsap computer program; Nsf; Strain energy methods; Strains
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00051803
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: UCSESM-73-14
• Contract Numbers: NSF-CI-36387
• Files: TRIS
• Created Date: Mar 25 1974 12:00AM