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Mixed Boundary Value Problems of the Fourth Kind in an Enhanced Theory of Bending of Elastic Plates

The real boundary integral equation method is used to solve a specific type of mixed boundary value problem in an enhanced theory of bending of elastic plates with transverse shear deformation and transverse normal strain. This type of problem (often referred to as a mixed problem of the fourth kind) is characterized by the fact that a combination of the twisting displacement rotations and transverse shear force is prescribed on the curve which bounds the middle surface of the plate. Both interior and exterior problems are formulated and the corresponding existence and uniqueness results derived.