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The thermoelastic materials and functional composites are used in some intelligent equipment in some special fields. The two-scale asymptotic expansion for partial differential equations of thermoelstic problem in periodic structure with boundary layer is constructed, and the two-scale asymptotic error estimations corresponding to the asymptotic solution is analyzed.

The Two-scale Asymptotic Expansion for One Class of Thermoelastic Problem in Periodic Composite with Boundary Layer