Existence and Integral Representations of Weak Solutions for Elastic Plates with Cracks
Existence and Integral Representations of Weak Solutions for Elastic Plates with Cracks
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含裂纹弹性板弱解的存在性及积分表示
DOI：
10.1023/a:1007624707944
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发表时间：
1999
影响因子：
2
通讯作者：
C. Constanda
中科院分区：
文献类型：
--
作者：
I. Chudinovich;C. Constanda
当沿裂纹两侧规定位移或力矩和力时，在 Sobolev 空间中研究了因裂纹而弱化的 Reissner-Mindlin 型板的弯曲问题的存在性和对数据的连续依赖性。考虑无限板和有限板的情况，并寻求具有分布密度的单层和双层势的解的表示。
The existence and continuous dependence on the data are investigated in Sobolev spaces for the problem of bending of a Reissner-Mindlin-type plate weakened by a crack when the displacements or the moments and force are prescribed along the two sides of the crack. The cases of both an infinite and a finite plate are considered, and representations are sought for the solutions in terms of single layer and double layer potentials with distributional densities.