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.
Published Online: 2013-09-07
Published in Print: 2000-08
© 2013 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- CONTENTS
- On the Cauchy problem for a differential equation with unbounded operator coefficients
- Reconstruction of the support function for inclusion from boundary measurements
- Identifiability of distributed parameters in beam-type systems
- The problem of dynamical reconstruction of Dirichlet boundary control in semilinear hyperbolic equations
- An inverse problem related to layered elastic plate
- Necessary and sufficient conditions of convergence of finite-dimensional approximations for L-regularized solutions of operator equations
- Inverse problems for multivelocity transfer equation in the plane-symmetric case
Articles in the same Issue
- CONTENTS
- On the Cauchy problem for a differential equation with unbounded operator coefficients
- Reconstruction of the support function for inclusion from boundary measurements
- Identifiability of distributed parameters in beam-type systems
- The problem of dynamical reconstruction of Dirichlet boundary control in semilinear hyperbolic equations
- An inverse problem related to layered elastic plate
- Necessary and sufficient conditions of convergence of finite-dimensional approximations for L-regularized solutions of operator equations
- Inverse problems for multivelocity transfer equation in the plane-symmetric case