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IssuesArchive of Issues2025-6pp.4450-4466

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S.A. Kaloerov and M.A. Polianskii, "Basic Relations for Complex Potentials of Electromagnetoviscoelasticity and Their Use in Solving Problems of the Action of Concentrated Forces," Mech. Solids. 60 (6), 4450-4466 (2025)
Year 2025 Volume 60 Number 6 Pages 4450-4466
DOI 10.1134/S0025654425601752
Title Basic Relations for Complex Potentials of Electromagnetoviscoelasticity and Their Use in Solving Problems of the Action of Concentrated Forces
Author(s) S.A. Kaloerov (Donetsk State University, Donetsk, DPR, 283001 Russia, kaloerov@mail.ru)
M.A. Polianskii (Donetsk State University, Donetsk, DPR, 283001 Russia, m4xpolyan@yandex.ru)
Abstract The main relations for complex potentials of a plane problem of electromagnetic viscoelasticity, their general representations for singly and multiply connected domains, and boundary conditions for their determination are presented. Using these functions, solutions are obtained for problems of concentrated effects (mechanical forces, electric charges, and magnetic dipoles), exact for a singly connected plate, and approximate, with high accuracy of satisfying the boundary conditions, for a multiply connected plate. The results of numerous studies are described for a plate with one or two circular holes or rectilinear cuts-cracks, with a hole and a cut, with two cuts, and the cases are considered when the contours of the holes intersect or the cuts go to the contour of the hole. The patterns of influence of the geometric characteristics of the holes and cuts, the physical-mechanical and electromagnetic properties of the plate materials, and also the time after applying external forces on the values and nature of the distribution of stresses and inductions are established.
Keywords piezoelectric plate, holes, viscoelasticity, complex potentials, concentrated forces, stress concentration, stress intensity factors
Received 13 April 2025Revised 09 June 2025Accepted 11 June 2025
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