Reconstruction of a linear crack in an isotropic elastic body from a single set of measured data
Reconstruction of a linear crack in an isotropic elastic body from a single set of measured data
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DOI：
10.1088/0266-5611/23/2/008
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发表时间：
2007-02
期刊：
影响因子：
2.1
通讯作者：
Masaru Ikehata;H. Itou
中科院分区：
文献类型：
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作者：
Masaru Ikehata;H. Itou
考虑了弹性静力学中与裂纹有关的反问题。问题是：从一组表面位移场和弹性体边界上的牵引力中提取关于未知裂纹的位置和形状的信息。这是材料无损检测中的一个典型问题。考虑弹性静力学平面问题中的一种形式。结果表明，在平面应变状态下，Ikehata提出的包络法给出了未知裂纹的提取公式，条件是：裂纹是线性的；裂纹的两个端点之一已知且位于物体的边界上；在物体的边界上给出一个良好控制的表面牵引力。
An inverse problem related to a crack in elastostatics is considered. The problem is: extract information about the location and shape of an unknown crack from a single set of the surface displacement field and traction on the boundary of the elastic body. This is a typical problem from the nondestructive testing of materials. A version in a plane problem of elastostatics is considered. It is shown that, in a state of plane strain, the enclosure method which was introduced by Ikehata yields the extraction formula of an unknown crack provided: the crack is linear; one of the two end points of the crack is known and located on the boundary of the body; a well-controlled surface traction is given on the boundary of the body.