On finding a cavity in a thermoelastic body using a single displacement measurement over a finite time interval on the surface of the body

On finding a cavity in a thermoelastic body using a single displacement measurement over a finite... AbstractA mathematical formulation of an estimation problem of a cavity inside a three-dimensional thermoelastic body byusing time domain data is considered.The governing equation of the problem is given by a system of equations in the linear theory of thermoelasticitywhich is a coupled system of the elastic wave and heat equations.A new version of the enclosure method in the time domain which is originally developed for the classical wave equation is established.For a comparison, the results in the decoupled case are also given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Inverse and III-posed Problems de Gruyter

On finding a cavity in a thermoelastic body using a single displacement measurement over a finite time interval on the surface of the body

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Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1569-3945
eISSN
1569-3945
D.O.I.
10.1515/jiip-2017-0066
Publisher site
See Article on Publisher Site

Abstract

AbstractA mathematical formulation of an estimation problem of a cavity inside a three-dimensional thermoelastic body byusing time domain data is considered.The governing equation of the problem is given by a system of equations in the linear theory of thermoelasticitywhich is a coupled system of the elastic wave and heat equations.A new version of the enclosure method in the time domain which is originally developed for the classical wave equation is established.For a comparison, the results in the decoupled case are also given.

Journal

Journal of Inverse and III-posed Problemsde Gruyter

Published: Jun 1, 2018

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