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An inverse thermoelasticity problem of identification of inhomogeneous
prestressed state of an infinitely long hollow cylinder with a coating is formulated. The
characteristics of cylinder's material are described by piecewise continuous functions. A direct
thermoelasticity problem is solved on the basis of the shooting method and inversion of
solutions based on the Durbin method after applying the Laplace transform. The nonlinear
inverse problem is solved by constructing an iterative process, at each stage of which the
operator equations of the first kind are solved. The most informative time intervals for gaining
the additional information are determined. The influence of prestress level, coupling
parameter and coating thickness on the results of prestress reconstruciton is analyzed.
Keywords: thermoelasticity, prestress, coating, cylinder, identification, inverse problem |
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