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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Veröffentlicht in:	Experimental mechanics Jg. 42; H. 3; S. 272 - 278
Hauptverfasser:	Smith, Tait S., Bay, Brian K., Rashid, Mark M.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Heidelberg Springer 01.09.2002
Schlagworte:	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
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Abstract	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)
AbstractList	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)
Author	Bay, Brian K. Smith, Tait S. Rashid, Mark M.
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Cites_doi	10.1117/12.7976778 10.1007/BF02321405 10.1016/S0020-7683(99)00092-X 10.1007/BF02325092 10.1016/S8756-3282(97)00007-0 10.1016/0020-7683(95)00240-5 10.3233/THC-1996-4112 10.1002/jbmr.5650040103 10.1137/0708019 10.1109/42.650880 10.1007/BF02323555 10.1016/S0969-8043(97)00139-5
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Keywords	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
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