Digital volume correlation: Three-dimensional strain mapping using x-ray tomography

B. K. Bay, T. S. Smith, David P Fyhrie, M. Saad

Research output: Contribution to journalArticle

466 Citations (Scopus)

Abstract

A three-dimensional extension of two-dimensional digital image correlation has been developed. The technique uses digital image volumes generated through high-resolution X-ray tomography of samples with microarchitectural detail, such as the trabecular bone tissue found within the skeleton. Image texture within the material is used for displacement field measurement by subvolume tracking. Strain fields are calculated from the displacement fields by gradient estimation techniques. Estimates of measurement precision were developed through correlation of repeat unloaded data sets for a simple sum-of-squares displacement-only correlation formulation. Displacement vector component errors were normally distributed, with a standard deviation of 0.035 voxels (1.22 μm). Strain tensor component errors were also normally distributed, with a standard deviation of approximately 0.0003. The method was applied to two samples taken from the thigh bone near the knee. Strains were effectively measured in both the elastic and postyield regimes of material behavior, and the spatial patterns showed clear relationships to the sample microarchitectures.

Original languageEnglish (US)
Pages (from-to)217-226
Number of pages10
JournalExperimental Mechanics
Volume39
Issue number3
StatePublished - Sep 1999
Externally publishedYes

Fingerprint

Tomography
X rays
Bone
Image texture
Tensors
Tissue

Keywords

  • Image correlation
  • Strain measurement
  • Trabecular bone
  • X-ray tomography

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials

Cite this

Digital volume correlation : Three-dimensional strain mapping using x-ray tomography. / Bay, B. K.; Smith, T. S.; Fyhrie, David P; Saad, M.

In: Experimental Mechanics, Vol. 39, No. 3, 09.1999, p. 217-226.

Research output: Contribution to journalArticle

@article{044a89c71da84137b3ff0746fceef17c,
title = "Digital volume correlation: Three-dimensional strain mapping using x-ray tomography",
abstract = "A three-dimensional extension of two-dimensional digital image correlation has been developed. The technique uses digital image volumes generated through high-resolution X-ray tomography of samples with microarchitectural detail, such as the trabecular bone tissue found within the skeleton. Image texture within the material is used for displacement field measurement by subvolume tracking. Strain fields are calculated from the displacement fields by gradient estimation techniques. Estimates of measurement precision were developed through correlation of repeat unloaded data sets for a simple sum-of-squares displacement-only correlation formulation. Displacement vector component errors were normally distributed, with a standard deviation of 0.035 voxels (1.22 μm). Strain tensor component errors were also normally distributed, with a standard deviation of approximately 0.0003. The method was applied to two samples taken from the thigh bone near the knee. Strains were effectively measured in both the elastic and postyield regimes of material behavior, and the spatial patterns showed clear relationships to the sample microarchitectures.",
keywords = "Image correlation, Strain measurement, Trabecular bone, X-ray tomography",
author = "Bay, {B. K.} and Smith, {T. S.} and Fyhrie, {David P} and M. Saad",
year = "1999",
month = "9",
language = "English (US)",
volume = "39",
pages = "217--226",
journal = "Experimental Mechanics",
issn = "0014-4851",
publisher = "Springer New York",
number = "3",

}

TY - JOUR

T1 - Digital volume correlation

T2 - Three-dimensional strain mapping using x-ray tomography

AU - Bay, B. K.

AU - Smith, T. S.

AU - Fyhrie, David P

AU - Saad, M.

PY - 1999/9

Y1 - 1999/9

N2 - A three-dimensional extension of two-dimensional digital image correlation has been developed. The technique uses digital image volumes generated through high-resolution X-ray tomography of samples with microarchitectural detail, such as the trabecular bone tissue found within the skeleton. Image texture within the material is used for displacement field measurement by subvolume tracking. Strain fields are calculated from the displacement fields by gradient estimation techniques. Estimates of measurement precision were developed through correlation of repeat unloaded data sets for a simple sum-of-squares displacement-only correlation formulation. Displacement vector component errors were normally distributed, with a standard deviation of 0.035 voxels (1.22 μm). Strain tensor component errors were also normally distributed, with a standard deviation of approximately 0.0003. The method was applied to two samples taken from the thigh bone near the knee. Strains were effectively measured in both the elastic and postyield regimes of material behavior, and the spatial patterns showed clear relationships to the sample microarchitectures.

AB - A three-dimensional extension of two-dimensional digital image correlation has been developed. The technique uses digital image volumes generated through high-resolution X-ray tomography of samples with microarchitectural detail, such as the trabecular bone tissue found within the skeleton. Image texture within the material is used for displacement field measurement by subvolume tracking. Strain fields are calculated from the displacement fields by gradient estimation techniques. Estimates of measurement precision were developed through correlation of repeat unloaded data sets for a simple sum-of-squares displacement-only correlation formulation. Displacement vector component errors were normally distributed, with a standard deviation of 0.035 voxels (1.22 μm). Strain tensor component errors were also normally distributed, with a standard deviation of approximately 0.0003. The method was applied to two samples taken from the thigh bone near the knee. Strains were effectively measured in both the elastic and postyield regimes of material behavior, and the spatial patterns showed clear relationships to the sample microarchitectures.

KW - Image correlation

KW - Strain measurement

KW - Trabecular bone

KW - X-ray tomography

UR - http://www.scopus.com/inward/record.url?scp=0032695303&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032695303&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0032695303

VL - 39

SP - 217

EP - 226

JO - Experimental Mechanics

JF - Experimental Mechanics

SN - 0014-4851

IS - 3

ER -