Checkerboard composites with separated phases
Checkerboard composites with separated phases
复制标题
具有分离相的棋盘状复合材料
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
Y. Obnosov
中科院分区：
文献类型：
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作者：
R. Craster;Y. Obnosov
最近，作者开发了一种方法[SIAM J.Appl.数学课。61,1839-1556(2001)]能够以封闭形式求解具有不同相间连续性的四相双周期棋盘复合材料的边值问题。该方法基于一种新的保形映射，该映射保留了物理问题的双周期性质。这篇文章的目的是探索这种方法的一般性，我们现在用不导电或完全导电的带材来取代某些相之间的连续性，从而模拟电化学设备中的脱粘或电极。其具体目标是以简洁和明确的形式确定这些四相物体的有效电阻率和相关参数。
Recently the authors have developed a method [SIAM J. Appl. Math. 61, 1839–1556 (2001)] capable of solving, in closed form, boundary value problems for four-phase doubly periodic checkerboard composites with continuity between the different phases. The method is based upon a novel conformal mapping that preserves the doubly periodic nature of the physical problem. The aim of the current article is to explore generalizations of that approach where we now replace continuity between some phases by nonconducting or perfectly conducting strips, thereby modeling debonding or electrodes in electrochemical devices. The specific objective is to determine effective resistivities and related parameters for these four-phase objects in a concise and explicit form.