Geodesic
Identification method for inhomogeneous fields of residual stresses
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2023), pp. 41-47

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A numerical-analytical method of three-axial inhomogeneous elastic residual stress determination based on the data of the displacement optical measurement during the incremental hole drilling method is presented. The constitutive relations for the displacements as the three variable functions (in plane of the hole and along its depth) are represented by the Volterra integral operators. A method of finding the basic functions is given. The stress tensor components recovered by the proposed method are in good agreement with the well-known solution of a problem where the residual stresses are formed by bending an elastic-ideally plastic beam. 
@article{VMUMM_2023_3_a6,
     author = {\`E. B. Zavoychinskaya and A. S. Plotnikov},
     title = {Identification method for inhomogeneous fields of residual stresses},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {41--47},
     publisher = {mathdoc},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2023_3_a6/}
}
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È. B. Zavoychinskaya; A. S. Plotnikov. Identification method for inhomogeneous fields of residual stresses. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2023), pp. 41-47. http://geodesic.mathdoc.fr/item/VMUMM_2023_3_a6/