Elastography Method to Identify Material Distribution in Two-Phase Nonlinear Media
Publication: Journal of Engineering Mechanics
Volume 140, Issue 5
Abstract
Many engineering and biological media can be described as the combination of several heterogeneous constituent phases. For instance, a tumor-containing organ can be approximated as two phases: tumor and tissue media. A nonlinear elastography method is developed in this paper to identify the distribution of mechanical properties in two-phase media, based solely on the measurement of displacements and forces on the external boundary. The two-phase distribution is approximated with a general continuous material parameter field, for which a designed grouping technique is applied to reduce the number of unknowns. The numerical efficiency of the minimization-based reconstruction is further enhanced by user-supplied gradients of the objective function, which are computed with minimal cost using a nonlinear adjoint method. Sample reconstruction is performed to identify two irregular inclusions in a two-dimensional nonlinear medium.
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Acknowledgments
This work is partially supported by the U.S. Army Breast Cancer Research Program Concept Award (W81XWH-05-1-0461) and the U.S. National Science Foundation (CMMI-1229405).
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Published In
Journal of Engineering Mechanics
Volume 140 • Issue 5 • May 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Sep 30, 2011
Accepted: Jul 11, 2013
Published online: Jul 13, 2013
Published in print: May 1, 2014
Discussion open until: Jun 7, 2014
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