Abstract

A modified boundary integralequation method is used to solve a specific type of mixed boundary value prob- lem in a theory of bending of elastic plates with transverse shear deformation. This type of problem (often referred to as a mixed problem of the third kind) is characterized by the fact that a combination of transverse displacement and bend- ing and twisting moments is prescribed on the curve which bounds the middle surface of the plate. Both interior and exterior problems are formulated and the corresponding exis- tence and uniqueness results derived.

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