Solution of one-dimensional boundary value inverse problems for a homogeneous layer
Mathematics. Physics. Mechanics
AbstractA problem of obtaining of physical-mechanical properties of a media using boundary measurements of displacements and thermal fields is considered. The problem is solved in a periodicstatement. An equation binding unknown values to the boundary displacements field is constructed. The field geometry and boundary conditions allow to reduce the problem to an one-dimensional thermoelasticity problem. Resolving equations from which desired values can be obtained are constructed using a finite Fourier's transform of a spatial variable. These equations represent a systme of non-linear algebraic equiations and are solved using numeric methods.
Keywords:thermoelasticity, inverse problem, quotients problem, non-correct problems