Abstract
An external asymptotic expansion of the solution of a nonlinear problem of nonstationary heat conduction of lamellar anisotropic inhomogeneous shells and plates with mixed boundary conditions on faces has been constructed with account of the thermal response of the layers′ materials. The resulting two-dimensional resolvents have been analyzed, and the asymptotic properties of solutions of the heat-conduction problem have been investigated. A physical explanation has been provided for certain features of the asymptotic expansion of temperature.
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