ELECTROMAGNETICELASTIC STATE OF THE PLATE WITH CURVED HOLES
A solution is given to the problem of electromagnetoelasticity for a piezoelectric plate with curvilinear holes, using complex potentials, approximation of the contours of holes by arcs of ellipses and edges of straight cuts, conformal mappings, representations of holomorphic functions by Laurent series and by Faber polynomials and satisfying the boundary conditions by the boundary method least squares. The results of numerical studies for a plate with a triangular or square hole are described. The in uence on the values and distribution of the main characteristics of the electromagnetoelastic state of the piezoelectric properties of the plate material and the geometric characteristics of the holes is studied. It is shown at what acute angles the sides of the polygons that are enclosing them can be interpreted as the edges of the cracks.