ON ONE-DIMENSIONAL FINITE-STRAIN BEAM THEORY: THE PLANE PROBLEM

The paper formulates a one-dimensional large-strain beam theory for plane deformations of plane beams, with rigorous consistency of dynamics and kinematics via application of the principle of virtual work. This formulation is complemented by considerations on how to obtain constitutive equations, and applied to the problem of buckling of circular rings, including the effects of axial normal strain and transverse shearing strain.

• Supplemental Notes:
  • Sponsored in part by National Science Foundation. Text in English; attached summary in English and German. Availability: Pub. in Jnl. of Mathematics and Physics (ZAMP), v23 p795-804 1972.
• Corporate Authors:

  University of California, San Diego

  Department of Applied Mechanics and Engineering Sciences
  La Jolla, CA  United States  92093-0085
• Authors:
  • Reissner, E
• Publication Date: 1972-5-5

Media Info

• Pagination: 10 p.

Subject/Index Terms

• TRT Terms: Beams; Buckling; Differential equations; Dynamics; Kinematics; Numerical analysis; Strain (Mechanics); Structural analysis
• Uncontrolled Terms: Structural stability
• Old TRIS Terms: Beams (Structural)
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00048317
• Record Type: Publication
• Source Agency: National Technical Information Service
• Contract Numbers: N00014-69-A-0200-602
• Files: TRIS
• Created Date: Nov 14 1973 12:00AM