组成结构的广义热-电-磁-弹性理论的动态混合边界传递问题

IF 0.8 4区数学 Q2 MATHEMATICS

Georgian Mathematical Journal Pub Date : 2024-09-02 DOI:10.1515/gmj-2024-2051

Tengiz Buchukuri, Otar Chkadua, David Natroshvili

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引用次数: 0

摘要

在本文中，我们研究了由两个相邻各向异性弹性成分组成的、具有共同界面表面的三维动力学混合边界传递问题。两个相接触的弹性元件采用不同的数学模型：其中一个部分采用格林-林赛的广义热-电-磁弹性模型，另一个部分采用格林-林赛的广义热弹性模型。我们假设所考虑的组成弹性结构包含一条界面裂缝。我们在适当的函数空间中证明了唯一性和存在性定理。

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Dynamical mixed boundary-transmission problems of the generalized thermo-electro-magneto-elasticity theory for composed structures

In the present paper we investigate three-dimensional dynamical mixed boundary-transmission problems for composed body consisting of two adjacent anisotropic elastic components having a common interface surface. The two contacting elastic components are subject to different mathematical models: Green–Lindsay’s model of generalized thermo-electro-magneto-elasticity in one component and Green–Lindsay’s model of generalized thermo-elasticity in the other one. We assume that the composed elastic structure under consideration contains an interfacial crack. We prove the uniqueness and existence theorems in appropriate function spaces.

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来源期刊

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.