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On the asymptotic analysis of a non-symmetric bar. (English) Zbl 0995.74033
Summary: We study the three-dimensional elasticity problem for a non-symmetric heterogeneous rod. The asymptotic expansion of the solution is constructed, and the coercitivity of the homogenized equation is proved. Estimates are derived for the difference between the truncated series and exact solution.
MSC:
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics
35Q72 Other PDE from mechanics (MSC2000)
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References:
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