The correspondence of solutions in elasticity theory at conformal mappings
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1982), pp. 68-75

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The conformal invariance in the plane static problem of the elasticity theory is established. The transforming formulae of displacements and stresses under conformal mappings are obtained to formulate the boundary value problem of the elasticity theory in the transformed region.
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     author = {A. P. Shmakov},
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A. P. Shmakov. The correspondence of solutions in elasticity theory at conformal mappings. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1982), pp. 68-75. http://geodesic.mathdoc.fr/item/VMUMM_1982_1_a18/