Cellular Automata: An Approach to Wave Propagation and Fracture Mechanics Problems

Abstract

The Cellular Automata (CA) method is based on the idea that the macroscopic behavior of a system can be captured by using simple local rules running at a microscopic level. In other words, a system can be modeled by means of simple local rules that govern the behavior of the whole system. In this thesis a local CA rule set is introduced and a methodology is developed to model physical systems that are governed by one and two dimensional wave equations. One dimensional systems are also successfully modeled by using CA and FEM techniques working as coupled, whereas two dimensional systems could only be modeled in an error margin due to the variation of the introduced time scaling factor when external forces are involved. Also, the applicability of the CA method to fracture mechanics problems is investigated.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2006
Accession Number
ADA462598

Entities

People

  • Selcuk Hosoglu

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Crack Propagation
  • Crystal Structure
  • Differential Equations
  • Engineering
  • Equations
  • Fluid Dynamics
  • Fracture (Mechanics)
  • Grain Boundaries
  • Materials
  • Materials Science
  • Mechanics
  • Physical Properties
  • Poisson Ratio
  • Two Dimensional
  • Wave Equations

Readers

  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.