ENERGY METHODS IN SELF-ADJOINT EIGENVALUE PROBLEMS 11. RITZ-GALERRIN AND RELATED METHODS

A review is presented of the fundamental considerations that that enter into the calculation of the buckling of plates and shells whose material deforms in consequence of non- linear creep. Results are given of analyses that have been carried out for flat plates subjected to edgewise compression and for circular cylindrical shells subjected to uniform axial compression, to a uniform external pressure and to a constant bending moment. The character of the behavior of these structural elements after buckling is also discussed. In particular, it is shown that flat plates can continue carrying the applied load after the development of buckles of noticeable magnitude if the edges of the plate are supported. This is in agreement with von Karman's effective-width theory for perfectly elastic plates. Similarly, Koiter's theory of bifurcation buckling for perfectly elastic axially compressed circular cylindrical shells has its counterpart in creep buckling. It is shown that in most cases it suffices to carry out a creep buckling analysis on the basis of the assumption that the material deforms only in consequence of secondary creep. The effect of simultaneous elastic behavior as well as that of time-hardening creep can be taken into account in a simple manner after the creep analysis has been completed.

• Corporate Authors:

  Brooklyn Polytechnic Institute

  Department of Aerospace Eng and Applied Mechanics
  Brooklyn, NY  United States 
• Authors:
  • Morduchow, M
  • Pulos, J G
• Publication Date: 1972-4

Media Info

• Features: References;
• Pagination: 72 p.

Subject/Index Terms

• TRT Terms: Beams; Buckling; Elasticity (Mechanics)
• Old TRIS Terms: Grillage beams
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00035653
• Record Type: Publication
• Source Agency: Ship Structure Committee
• Report/Paper Numbers: PIBAL Rpt No. 72-13
• Files: TRIS
• Created Date: Oct 27 1973 12:00AM