A limit model in the analysis of steel-concrete beams (Q2764899)

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scientific article; zbMATH DE number 1691107
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A limit model in the analysis of steel-concrete beams
scientific article; zbMATH DE number 1691107

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    19 June 2003
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    steel-concrete beams
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    error estimate
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    periodic microstructure
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    limiting
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    elastic problem
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    existence
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    uniqueness
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    strong convergence
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    approximate solutions
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    energy norm
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    A limit model in the analysis of steel-concrete beams (English)
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    The author deals with the problem of two bodies joined along their common surface by a thin soft third material having a periodic microstructure. It is shown that one obtains a limiting simplified elastic problem which describes the original configuration. The author establishes existence and uniqueness of solution to this limiting problem, and proves the strong convergence of approximate solutions in the energy norm. Additionally, the author gives an estimate of error between the simplified model and the original model.
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