Accession Number:

AD0735937

Title:

Non-Linear Analysis of Plates Considering Geometric and Material Effects,

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV BERKELEY STRUCTURAL ENGINEERING LAB

Personal Author(s):

Report Date:

1971-04-01

Pagination or Media Count:

184.0

Abstract:

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

Subject Categories:

  • Structural Engineering and Building Technology
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE