Direct Strain Tensor Approximation for Full-Field Strain Measurement Methods

Abstract

Full-field strain measurement techniques are based on computing the spatial derivatives of numerical or functional approximations of the underlying displacement fields extracted from digital imaging methods. These methods implicitly assume that the medium satisfies the strain compatibility conditions, which are only true in the case of a continuum body that remains continuum throughout its deformation history. In the present work, we introduce a method that can be used to calculate the strain components directly from typical digital imaging data, without the need of the continuum hypothesis and the need for displacement field differentiation. Thus, it enables the measurement of strain fields from imaged surfaces that may or may not contain discontinuities. Numerical comparisons are performed on the basis synthetic data produced from an analytical solution for an elastically orthotropic open-hole domain in tension. For performance comparison purposes, the mean absolute error distributions are calculated for the cases of both the traditional meshless random grid method, and the direct strain method introduced herein. It is established that the more refined representation of strain provided by our present approach is more accurate everywhere in the domain, but most importantly, near its boundaries.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2013
Accession Number
ADA601398

Entities

People

  • Athanasios Iliopoulos
  • John G Michopoulos

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Applied Mechanics
  • Composite Materials
  • Computational Science
  • Continuum Mechanics
  • Coordinate Systems
  • Digital Images
  • Engineering
  • Image Processing
  • Materials
  • Materials Science
  • Materials Testing
  • Measurement
  • Mechanics
  • Military Research
  • Three Dimensional
  • Two Dimensional

Readers

  • Acoustical Oceanography.
  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)