Geodesic
Mathematical modeling of processes in a stressed medium for the case of a sudden break in continuity
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2019), pp. 31-37

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A problem is examined about nonstationary processes in a preliminary stressed medium in the case of sudden appearance of viscoelastic break in the conditions of longitudinal shear. It is assumed that the break takes place along a semi-infinite strip coincident with the plane of maximum shear stresses. The problem is solved analytically in terms of displacements by the Wiener–Hopf method. 
@article{VMUMM_2019_5_a4,
     author = {A. S. Kim and Yu. R. Shpadi},
     title = {Mathematical modeling of processes in a stressed medium for the case of a sudden break in continuity},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {31--37},
     publisher = {mathdoc},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_5_a4/}
}
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A. S. Kim; Yu. R. Shpadi. Mathematical modeling of processes in a stressed medium for the case of a sudden break in continuity. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2019), pp. 31-37. http://geodesic.mathdoc.fr/item/VMUMM_2019_5_a4/