NON-LINEAR ANALYSIS OF PLATES CONSIDERING GEOMETRIC AND MATERIAL EFFECTS

The purpose of this investigation is to study nonlinear behavior of plates considering both geometric and physical nonlinearities. Large deflections are accounted for using the von Karman strain expressions for plates and initial deformations are considered using the Marquerre shallow shell theory. Establishing the variational principles, the equilibrium and incremental equations for general Rayleigh-Ritz type solution methods are derived. The finite element method is adopted for the numerical solution of the problem. Different general numerical techniques for solving nonlinear structural problems are considered. The problems of convergence and accuracy of iteration methods are also discussed. A wide range of numerical examples are presented, such as large deflections of different plates, post buckling behavior of plates, snap-through problems and inelastic behavior of various plates. (Author)

• Supplemental Notes:
  • Continuation of Contract N00014-67-A-0114-0020
• Corporate Authors:

  University of California, Berkeley

  Berkeley, CA  United States  94720
• Authors:
  • Bergan, P G
• Publication Date: 1971-4

Media Info

• Pagination: 184 p.

Subject/Index Terms

• TRT Terms: Buckling; Deflection; Finite element method; Shells (Structural forms); Structural analysis; Structural plates
• Old TRIS Terms: Plate deflections; Shell theory
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00033694
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: UCSESM-71-7
• Contract Numbers: N00014-69-A-00201045
• Files: TRIS
• Created Date: Aug 15 1973 12:00AM