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Characterization of the stiffness distribution in two and three dimensions using boundary deformations: a preliminary study

Published online by Cambridge University Press:  07 June 2018

Ping Luo ,
Yue Mei ,
Maulik Kotecha ,
Amirhossein Abbasszadehrad ,
Stephen Rabke ,
Geoffrey Garner  and
Sevan Goenezen
Ping Luo
Affiliation:
Texas A&M University, High Performance Research Computing, College Station, TX 77843, USA
Yue Mei*
Affiliation:
Swansea University, Zienkiewicz Centre for Computational Engineering, Swansea SA18EN, UK
Maulik Kotecha
Affiliation:
Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843, USA
Amirhossein Abbasszadehrad
Affiliation:
Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843, USA
Stephen Rabke
Affiliation:
Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843, USA
Geoffrey Garner
Affiliation:
Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843, USA
Sevan Goenezen
Affiliation:
Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843, USA
*
Address all correspondence to Yue Mei at [email protected]
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Abstract

We present for the first time the feasibility to recover the stiffness (here shear modulus) distribution of a three-dimensional heterogeneous sample using measured surface displacements and inverse algorithms without making any assumptions about local homogeneities and the stiffness distribution. We simulate experiments to create measured displacements and augment them with noise, significantly higher than anticipated measurement noise. We also test two-dimensional problems in plane strain with multiple stiff inclusions. Our inverse strategy recovers the shear modulus values in the inclusions and background well, and reveals the shape of the inclusion clearly.

Type
Research Letters
Information
MRS Communications , Volume 8 , Issue 3 , September 2018 , pp. 893 - 902
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Copyright
Copyright © Materials Research Society 2018 

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