Digital volume correlation including rotational degrees of freedom during minimization

Digital volume correlation is a new experimental technique that allows the measurement of the full-field strain tensor in three dimensions. We describe the addition of rotational degrees of freedom into the minimization problem for digital volume correlation in order to improve the overall performan...

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Bibliographic Details
Published in:Experimental mechanics Vol. 42; no. 3; pp. 272 - 278
Main Authors: Smith, Tait S., Bay, Brian K., Rashid, Mark M.
Format: Journal Article
Language:English
Published: Heidelberg Springer 01.09.2002
Subjects:
Analysing. Testing. Standards
Applied sciences
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Measurement and testing methods
Measurement methods and techniques in continuum mechanics of solids
Measurement of properties and materials state
Metals. Metallurgy
Nondestructive testing
Physics
Solid mechanics
Structural and continuum mechanics
Image processing
X ray radiography
Stress tensor
Large displacement
Experimental study
Porous material
Rotation
Computerized tomography
Deformation measurement
Optical measurement
Image matching
Cross correlation
Metal foam
Tridimensional image
Stress measurement
ISSN:0014-4851, 1741-2765
Online Access:Get full text
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Summary:Digital volume correlation is a new experimental technique that allows the measurement of the full-field strain tensor in three dimensions. We describe the addition of rotational degrees of freedom into the minimization problem for digital volume correlation in order to improve the overall performance of the strain measurement. A parameterization of rotations that is particularly suited to the minimization problem is presented, based on the angle-axis representation of finite rotations. The partial derivative of both a normalized cross-correlation coefficient and the sum-of-squares correlation coefficient is derived for use with gradient-based minimization algorithms. The addition of rotation is shown to greatly reduce the measurement error when even small amounts of rigid body rotation are present in an artificially rotated test volume. In an aluminum foam sample loaded in compression, including rotational degrees of freedom produced smoother contours of minimum principal strain. Renderings of the aluminum foam architecture in areas of low, medium and high rotation showed material deformation patterns in detail. (Author)
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ISSN:0014-4851
1741-2765
DOI:10.1007/BF02410982