Multiscale Analysis of Heterogeneous Media in the Peridynamic Formulation

Abstract

A rigorous multiscale method is presented for modeling the dynamics of fiber-reinforced composite structures using the peridynamic formulation. The multiscale analysis delivers a new multiscale numerical method that captures the dynamics at structural length scales while at the same time is capable of resolving the dynamics at the length scales of the fiber reinforcement. The new numerical method is able extract this information at a cost that is anticipated to be far less than the direct numerical simulation of structural components made from multiple plys containing thousands of fibers.

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Document Details

Document Type
Technical Report
Publication Date
Oct 28, 2009
Accession Number
ADA513215

Entities

People

  • Bacim Alali
  • Robert Lipton

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Banach Space
  • Cauchy Problem
  • Composite Materials
  • Continuum Mechanics
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Fiber Reinforced Composites
  • Functional Analysis
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Mechanical Engineering
  • Mechanics
  • Periodic Functions
  • Real Numbers
  • Theorems

Readers

  • Computational Fluid Dynamics (CFD)
  • Structural Health Monitoring of Composite Structures.