An inverse problem related to layered elastic plate

V. G. Romanov; C. I. Weng; T. C. Chen

doi:10.1515/jiip.2000.8.4.421

An inverse problem related to layered elastic plate

V. G. Romanov, C. I. Weng, T. C. Chen

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

An infinite plate consisting elastic isotropic layers of various thickness and elastic properties is considered. It is assumed that a point force is applied normally to a boundary of the plate. An inverse problem of finding parameters of the elastic plate is studied. Under some assumptions it is proved that the displacements vector measured on the boundary of the plate uniquely determines elasticity modules and density of layers as well as their thickness. A procedure of recovering parameters from the data is given.

Original language	English
Pages (from-to)	421-447
Number of pages	27
Journal	Journal of Inverse and Ill-Posed Problems
Volume	8
Issue number	4
DOIs	https://doi.org/10.1515/jiip.2000.8.4.421
Publication status	Published - 2000

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1515/jiip.2000.8.4.421

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abstract = "An infinite plate consisting elastic isotropic layers of various thickness and elastic properties is considered. It is assumed that a point force is applied normally to a boundary of the plate. An inverse problem of finding parameters of the elastic plate is studied. Under some assumptions it is proved that the displacements vector measured on the boundary of the plate uniquely determines elasticity modules and density of layers as well as their thickness. A procedure of recovering parameters from the data is given.",

author = "Romanov, {V. G.} and Weng, {C. I.} and Chen, {T. C.}",

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AB - An infinite plate consisting elastic isotropic layers of various thickness and elastic properties is considered. It is assumed that a point force is applied normally to a boundary of the plate. An inverse problem of finding parameters of the elastic plate is studied. Under some assumptions it is proved that the displacements vector measured on the boundary of the plate uniquely determines elasticity modules and density of layers as well as their thickness. A procedure of recovering parameters from the data is given.

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An inverse problem related to layered elastic plate

Abstract

All Science Journal Classification (ASJC) codes

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