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Asymptotic expansion for the solution of a system of equations of elasticity in a nonhomogeneous thin layer. (Russian) Zbl 0725.73008

The asymptotic expansion for the solution of the three-dimensional problem of elasticity in a nonhomogeneous thin layer is represented as thickness of the plate and size of nonhomogeneities tend to zero. By using the method of averaging of differential equations with rapidly oscillating coefficients the explicit error estimates for asymptotic approximation in \(W^ 1_ 2\)-norm are obtained.
Reviewer: O.Titow (Berlin)

MSC:

74E05 Inhomogeneity in solid mechanics
34E05 Asymptotic expansions of solutions to ordinary differential equations
34C29 Averaging method for ordinary differential equations

Keywords:

error estimates
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