COMPLEX POTENTIALS IN THE PROBLEM OF PLANE BENDING OF AN ANISOTROPIC PLATE

For the case of plane bending of an anisotropic plate, complex potentials are introduced, expressions of stresses and displacements through them are obtained, boundary conditions for their determination, and general representations of functions for an arbitrary multiply connected plate. Systems of linear algebraic equations are found to determine the coefficients of the quadratic terms of these functions and to represent the holomorphic functions included in them in the case of multiply connected plates with arbitrary holes and cracks. Formulas for calculating stress intensity coefficients are given.