Abstract
A boundary integral representation of plane biharmonic function is established rigorously by the method of unanalytical continuation in the present paper. In this representation there are two boundary functions and four constants which bear a one to one correspondence to biharmonic functions. Therefore the set of boundary integral equations with indirect unknowns based on this representation is equivalent to the original differential equation formulation.
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Haichang, H. A necessary and sufficient set of boundary integral equations with indirect unknowns for plate bending problem. Acta Mech Sinica 8, 127–135 (1992). https://doi.org/10.1007/BF02487159
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DOI: https://doi.org/10.1007/BF02487159