Abstract
A modified 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 in which the effects of transverse shear deformation and transverse normal strain are taken into account. The problem considered is characterized by the fact that a combination of transverse displacement and bending 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 existence and uniqueness results derived.
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Mitric, R., Schiavone, P. Integral Solution of a Problem with Non-Standard Boundary Conditions in an Enhanced Theory of Bending of Elastic Plates. Journal of Elasticity 75, 57–68 (2004). https://doi.org/10.1023/B:ELAS.0000039922.05747.6d
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DOI: https://doi.org/10.1023/B:ELAS.0000039922.05747.6d