Stress Averaging for a Beam Network for Use in a Hierarchical Multiscale Framework

Abstract

An efficient procedure for obtaining the average stress within a representative volume element (RVE) composed of beam elements is developed and validated. A model composed of a network of elastic beam elements is taken as the lower length scale in a hierarchical modeling framework for dynamic analyses. An efficient procedure for attaining the static equilibrium configuration of the RVE is presented. An algorithm for determining the average stress within the RVE based on the virtual work principle is assessed by comparison with either the total elastic energy within the RVE or the summation of surfaces forces over the RVE boundary. The results from the virtual work stress computation algorithm are in good agreement with the more direct calculations, including those with inelastic deformation, indicating that it is appropriate for analysis of a lower length scale model in a hierarchical modeling framework.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2015
Accession Number
ADA619976

Entities

People

  • Adam Sokolow
  • Richard Becker

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Cartesian Coordinates
  • Computations
  • Continuum Mechanics
  • Coordinate Systems
  • Department Of Defense
  • Geometry
  • Materials
  • Mechanics
  • Military Research
  • Models
  • Modulus Of Elasticity
  • Scale Models
  • Shear Stresses
  • Simulations
  • Two Dimensional

Readers

  • Computational Fluid Dynamics (CFD)
  • Regression Analysis.
  • Structural Dynamics.