Identification of multiple cracks in 2D elasticity by means of the reciprocity principle and cluster analysis. (15th December 2017)

• Record Type: Journal Article
• Authors: Shifrin, Efim I; Kaptsov, Alexander V
• Is Part Of: Inverse problems. Volume 34:Number 1(2018:Jan.)
• Publication Date: 2017-12-15
• Subjects: 2D elastostatics -- multiple cracks -- inverse problem -- boundary data -- reciprocity gap functional; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/aa9d74
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: An inverse 2D elastostatic problem is considered. It is assumed that an isotropic, linear elastic body can contain a finite number of rectilinear, well-separated cracks. The surfaces of the cracks are assumed to be free of the loads. A method is developed for reconstruction the cracks by means of the applied loads and displacements on the boundary of the body, obtained in a single static test. The method is based on the reciprocity principle, elements of the theory of distributions, and cluster analysis. Numerical examples are considered.