Reconstruction of the shear modulus of viscoelastic systems in a thin cylinder: An inversion scheme and experiments

Junyong Eom, Hyeonbae Kang, Gen Nakamura, Yun Che Wang

研究成果: Article同行評審

3 引文 斯高帕斯(Scopus)

摘要

We consider a problem of reconstructing the shear modulus of an viscoelastic system in a thin cylinder from the measurements of displacements induced by torques applied at the bottom of the cylinder. The viscoelastic system is a mathematical model of a pendulum-type viscoelastic spectrometer (PVS). We first compute in an explicit form the solution of the viscoelastic system, and then derive with an error estimate the leading order term of the average of the solution. This leading order term yields a nonlinear inversion scheme to determine the shear modulus from the measurements of displacements. We apply the inversion scheme to determine the shear modulus using experimental data acquired from a PVS system.

原文English
文章編號095007
期刊Inverse Problems
32
發行號9
DOIs
出版狀態Published - 2016 七月 25

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

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