Large Deformation Analysis of Nonlinear Homogeneous and Heterogeneous Media Using an Arbitrary Lagrangian-Eulerian Finite Element Method

Abstract

In this paper, a new finite element formulation has been developed for media in which the second phase particulates or unidirectional fibers are randomly dispersed in a matrix. Deficiencies of the conventional mesh generators can be overcome by discretizing the domain using the method of Dirichlet tessellation. This method generates convex polygons known as Voronoi polygons which are treated as elements in a finite element analysis. An assumed stress hybrid method has been used to formulate the element stiffness matrix. Effect of the second phase has been incorporated in each element using a self-consistent type method. Several numerical examples have been conducted to validate the effectiveness of the model.

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Document Details

Document Type
Technical Report
Publication Date
Nov 12, 1991
Accession Number
ADA244400

Entities

People

  • Somnath Ghosh

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Cantilever Beams
  • Composite Materials
  • Coordinate Systems
  • Deficiencies
  • Differential Equations
  • Elastic Properties
  • Engineering
  • Equations
  • Finite Element Analysis
  • Materials
  • Mechanics
  • Military Research
  • Modulus Of Elasticity
  • Orientation (Direction)
  • Particulates
  • Stiffness

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Reinforced Composite Materials