具有弱弯曲结点的弹性体的平衡

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI:10.1134/S1990478923030080

A. M. Khludnev

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引用次数: 0

摘要

本文分析了一个具有未知接触面积的边值问题，该问题描述了具有薄弱弯曲结的二维弹性体的平衡。假设接合部从弹性体剥离以形成界面裂纹。在裂纹面上设置了不等式形式的非线性边界条件，并排除了边缘的相互渗透。建立了边值问题的唯一可解性。分析了当连接刚度参数趋于无穷大和零时达到极限的通道，并研究了极限模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On the Equilibrium of Elastic Bodies with a Weakly Curved Junction

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On the Equilibrium of Elastic Bodies with a Weakly Curved Junction

The paper addresses the analysis of a boundary value problem with an unknown contact area that describes equilibrium of two-dimensional elastic bodies with a thin weakly curved junction. It is assumed that the junction exfoliates from the elastic bodies to form interfacial cracks. Nonlinear boundary conditions in the form of inequalities are set on the crack faces and exclude the mutual penetration of the edges. The unique solvability of the boundary value problem is established. The analysis of passages to the limit as the junction stiffness parameter tends to infinity and to zero is carried out, and limit models are investigated.

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.