Abstract
A plane problem of electroelasticity is considered for an infinite compound plate with a hole located in both constituents of the plate. The corresponding boundary value problems is reduced to a system of singular integral equations of second kind, which is solved in numerical quadratures. Calculation results are presented that describe the concentration of electroelastic fields near the hole upon action at infinity of the vectors of mechanical stresses and electric field strength.
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L. A. Fil'shtinskii and M. L. Fil'shtinskii, “Green's function for a compound piezoceramic plane with an interface crack,” Prikl. Mat. Mekh.,58, No. 2, 159–166 (1994).
D. Bardzokas, R. Rodriguez, and M. L. Fil'shtinskii, “Extension of a piezoceramic bimorph with a crack crossing the interface,” Mech. Compos. Mater.,33, No. 4, 482–488 (1997).
V. T. Grinchenko, A. F. Ulitko, and N. A. Shul'ga, Mechanics of Coupled Fields in Structural Elements. Vol. 5. Electroelasticity [in Russian], Naukova Dumka, Kiev (1989).
V. V. Panasyuk, M. N. Savrukh, and Z. T. Nazarchuk, The Method of Singular Integral Equations in Two-Dimensional Problems of Diffraction [in Russian], Naukova Dumka, Kiev (1984).
D. A. Berlincourt, D. R. Curran, and H. Jaffe, in: Piezoelectric and Piezomagnetic Materials and Their Function in Transducers. Physical Acoustics. Vol. 1A [Russian translation], Mir, Moscow (1966).
P. S. Theocaris and N. I. Ioakimidis, “A method of numerical solution of Cauchy-type singular integral equations with generalized kernels and arbitrary complex singularities,” J. Comput. Phys.,30, No. 3, 309–323 (1979).
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 35, No. 3, pp. 359–366, May–June, 1999.
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Bardzokas, D., Fil'shtinskii, M.L. Concentration of electroelastic fields in a composite piezoceramic plate with a hole intersecting the interface of materials. Mech Compos Mater 35, 249–252 (1999). https://doi.org/10.1007/BF02257256
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DOI: https://doi.org/10.1007/BF02257256