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http://dx.doi.org/10.12989/sem.2017.64.6.695

Some general properties in the degenerate scale problem of antiplane elasticity or Laplace equation  

Chen, Y.Z. (Division of Engineering Mechanics, Jiangsu University)
Publication Information
Structural Engineering and Mechanics / v.64, no.6, 2017 , pp. 695-701 More about this Journal
Abstract
This paper investigates some general properties in the degenerate scale problem of antiplane elasticity or Laplace equation. For a given configuration, the degenerate scale problem is solved by using conformal mapping technique, or by using the null field BIE (boundary integral equation) numerically. After solving the problem, we can define and evaluate the degenerate area which is defined by the area enclosed by the contour in the degenerate configuration. It is found that the degenerate area is an important parameter in the problem. After using the conformal mapping, the degenerate area can be easily evaluated. The degenerate area for many configurations, from triangle, quadrilles and N-gon configuration are evaluated numerically. Most properties studied can only be found by numerical computation. The investigated properties provide a deeper understanding for the degenerate scale problem.
Keywords
degenerate scale problem; degenerate area; maximum property for degenerate area; laplace equation; conformal mapping;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
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