On a nonlinear inverse problem in viscoelasticity

H. D. Bui, S. Chaillat
Author affiliations

Authors

  • H. D. Bui Ecole Polytechnique/LMS, Palaiseau and Electricite de France/RD/LaMSID, Clamart, France
  • S. Chaillat Georgia Institute of Technology/College of Computing, USA

DOI:

https://doi.org/10.15625/0866-7136/31/3-4/5649

Abstract

We consider an inverse problem for determining an inhomogeneity in a viscoelastic body of the Zener type, using Cauchy boundary data, under cyclic loads at low frequency. We show that the inverse problem reduces to the one for the Helmholtz equation and to the same nonlinear Calderon equation given for the harmonic case. A method of solution is proposed which consists in two steps: solution of a source inverse problem, then solution of a linear Volterra integral equation

Downloads

Published

01-12-2009

How to Cite

Bui, H. D., & Chaillat, S. (2009). On a nonlinear inverse problem in viscoelasticity. Vietnam Journal of Mechanics, 31(3-4), 211 – 219. https://doi.org/10.15625/0866-7136/31/3-4/5649

Issue

Vol. 31 No. 3-4 (2009)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.