Investigation of Finite Elements for Strongly Nonlinear Problems.

Abstract

This final report summarizes the results of an evaluation of two new plate and shell elements for use in large deflection nonlinear analysis. The elements are of the 'stability element' type, in which nonlinear strains are included in calculations, with their values optimized by added membrane displacement functions and special types of elemental level constraints. The report summarizes the formulation and implementation of the elements, and discusses numerical results in detail. Conclusions are drawn regarding the effectiveness of these elements for solving highly nonlinear problems and also for soving certain types of linear shell structure problems. The crucial role of stepping/iterative solution procedures is discussed, and solution procedures of improved convergence are discribed. Finally nonlinear finite element alternatives are discussed from the points of view of accuracy, computing cost, element size, discretization considerations, and solution convergence. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1978
Accession Number
ADA062622

Entities

People

  • J. L. Arnquist
  • R. E. Jones

Organizations

  • Boeing

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Cantilever Beams
  • Cartesian Coordinates
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Curvature
  • Engineering
  • Equations
  • Finite Element Analysis
  • Geometry
  • Nonlinear Analysis
  • Potential Energy
  • Shape
  • Stresses
  • Tensile Stress

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  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)