Application of the virtual fields method to magnetic resonance elastography data

F. Pierron, P. V. Bayly, R. Namani

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations


This paper deals with the application of the Virtual Fields Method to the identification of the shear modulus of a gel from Magnetic Resonance Elastography data. Volume deformation fields in the cube were recorded at different times during the harmonic loading and the full harmonic response has been reconstructed using Fast Fourier Transform. Strains were then obtained by direct spatial differentiation, without any smoothing. The VFM was then applied with inertial forces balancing out elastic forces, without including the loading force which was not measured here. It has been shown that the choice of the virtual field is critical with such a spatial wave deformation field. A wide range of spatially harmonic virtual fields has been tested at different times within the loading period. The identified shear modulus has been shown to be consistent and to correlate with the value obtained from a simplified approach based on the shear wave solution. This is a feasibility study, it will be extended in the future to heterogeneous materials with a more thorough procedure to build up relevant virtual fields.

Original languageEnglish
Title of host publicationApplications of Imaging Techniques to Mechanics of Materials and Structures - Proceedings of the 2010 Annual Conference on Experimental and Appied Mechanics
Number of pages8
StatePublished - 2012
Event2010 Annual Conference on Experimental and Applied Mechanics - Indianapolis, IN, United States
Duration: Jun 7 2010Jun 10 2010

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
ISSN (Print)2191-5644
ISSN (Electronic)2191-5652


Conference2010 Annual Conference on Experimental and Applied Mechanics
Country/TerritoryUnited States
CityIndianapolis, IN


Dive into the research topics of 'Application of the virtual fields method to magnetic resonance elastography data'. Together they form a unique fingerprint.

Cite this