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<p>The paper addresses the analysis of equilibrium problem for two elastic plates with a thin rigid covering. It is assumed that the plates are connected by a thin elastic junction. We prove a solution existence to the problem and investigate limiting passages as rigidity parameters of the elastic junction and the elastic body converge to infinity. Limit models are analyzed. Both variational and differential statements for all problems are obtained, and their equivalence is proved.</p>

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On equilibrium problem for two elastic plates with covering and thin junction

  • 期刊论文

  • 发表日期：

    2025年5月24日

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  • Alexander Khludnev

摘要

The paper addresses the analysis of equilibrium problem for two elastic plates with a thin rigid covering. It is assumed that the plates are connected by a thin elastic junction. We prove a solution existence to the problem and investigate limiting passages as rigidity parameters of the elastic junction and the elastic body converge to infinity. Limit models are analyzed. Both variational and differential statements for all problems are obtained, and their equivalence is proved.