论文标题
提取在两个弹性板的连接线上发生的多个未知裂纹的位置
On extracting the positions of multiple unknown cracks that occur on the junction line of two elastic plates
论文作者
论文摘要
本文涉及二维有限域中裂纹问题的重建问题，该域可能对材料的非破坏性评估有可能应用。假定该域由两个弹性板组成，并在接线线上有一些未知的裂缝，并且平面内部位移的管理方程是Navier的方程。问题是从观察数据中提取有关裂纹位置的信息，该信息是一组负载表面牵引力，以及所得的域边界上的平面内一个位移场。结果表明，从观察数据中，外壳方法与开尔文变换结合得出了此类信息的明确提取公式。
This paper is concerned with the reconstruction issue of an inverse crack problem in a two-dimensional bounded domain which may have a possible application to the nondestructive evaluation of materials. It is assumed that the domain consists of two elastic plates welded together and has some unknown cracks on the junction line and the governing equation of in-plane displacement is Navier's equation. The problem is to extract information about the location of cracks from the observation data which is a single set of a loading surface traction and the resulted in-plane displacement field on the boundary of the domain. It is shown that the enclosure method combined with the Kelvin transform yields explicit extraction formulae of such information from the observation data.
