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research-article

Identification of Material Parameters of a Hyper-Elastic Body with Unknown Boundary Conditions

[+] Author and Article Information
Maedeh Hajhashemkhani

Student, Department of Mechanical Engineering, Shiraz University, Shiraz 71936, Iran
m-hajhashemkhani@shirazu.ac.ir

M.R. Hematiyan

Professor, Department of Mechanical Engineering, Shiraz University, Shiraz 71936, Iran
mhemat@shirazu.ac.ir

Sevan Goenezen

Assistant Professor, Department of Mechanical Engineering, Texas A & M University, College Station, Texas
sgoenezen@tamu.edu

1Corresponding author.

ASME doi:10.1115/1.4039170 History: Received December 01, 2017; Revised January 27, 2018

Abstract

Identification of material properties of hyper-elastic materials such as soft tissues of human body has been subject of many works in recent years. Although boundary conditions play an important role in material deformation, they did not get enough attention in previous works and have been considered as known inputs of the inverse problem of material identification. In reality, for instance, in case of an in vivo material, conditions on some part of the boundary of the target material may be unknown and using hypothetical boundary conditions yields misleading results. In this paper, an inverse algorithm for the characterization of hyper-elastic material properties is developed that takes into consideration unknown conditions on a part of boundary. A cost function based on measured and calculated displacements is defined and is minimized using Gauss-Newton method. A sensitivity analysis is carried out by employing analytic differentiation and using the finite element method. The effectiveness of the proposed method is demonstrated through numerical and experimental examples. The novel method is tested with a neo-Hookean and a Mooney-Rivlin hyper-elastic material model. In the experimental example, the material parameters of a silicon specimen with unknown boundary condition are evaluated. In all the examples, the obtained results are verified and it is observed that the results are satisfactory and reliable.

Copyright (c) 2018 by ASME
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