NDLI: Digital volume correlation including rotational degrees of freedom during minimization

Content Provider	Springer Nature Link
Author	Smith, Tait S. Bay, Brian K. Rashid, Mark M.
Copyright Year	2002
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 are 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 pattern in detail.
Starting Page	272
Ending Page	278
Page Count	7
File Format	PDF
ISSN	00144851
Journal	Experimental Mechanics
Volume Number	42
Issue Number	3
e-ISSN	17412765
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2002-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Digital image correlation experimental mechanics finite rotations aluminum foam Theoretical and Applied Mechanics Structural Mechanics Engineering Fluid Dynamics Mechanical Engineering Engineering Design Characterization and Evaluation Materials
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Mechanical Engineering Aerospace Engineering

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