Boundary identifiability of residual stress via the Dirichlet to Neumann map
Boundary identifiability of residual stress via the Dirichlet to Neumann map
复制标题
通过 Dirichlet 到 Neumann 图的残余应力边界可识别性
DOI：
10.1088/0266-5611/13/4/015
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发表时间：
1997
期刊：
影响因子：
2.1
通讯作者：
R. Robertson
中科院分区：
文献类型：
--
作者：
R. Robertson
弹性体残余应力的确定是无损评价中一个有趣的问题。残余应力是物体在没有外力作用的情况下的应力。在线性弹性理论中，物体的残余应力用无散度的二阶对称张量场表示，该张量场具有消失的边界牵引力。如果物体的弹性性质用Lame函数和残余应力T来描述，则本文（对于维数）表明，T和在物体边界上的任何一点都可以用狄利克雷到诺伊曼映射来确定。
An interesting problem in nondestructive evaluation is the determination of the residual stress of an elastic body. Residual stress is the stress in a body in the absence of any external forces. In the linear theory of elasticity, the residual stress in a body is represented by a divergence-free, second-order symmetric tensor field with vanishing boundary traction. If the elastic properties of the body are described by Lame functions and and residual stress T, it is shown in this paper (for dimensions ) that T and are determined at any point on the boundary of the body by the Dirichlet to Neumann map.