A comparison is made between various boundary integral equation methods in the theory of bending of elastic plates. Explicit representation formulae are established for some solutions in terms of others, and the version that is most useful for numerical computations is identified.
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References
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[1] Constanda, C.: A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation, Longman, Harlow, UK, 1990.
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[2] Constanda, C.: On integral solutions of the equations of thin plates, Proc. R. Soc. Lond. A, 444, 317-323 (1994).
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[3] Constanda, C. (in press): Fredholm equations of the first kind in the theory of bending of elastic plates. Quart. J. Mech. Appl. Math.
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[4] Constanda, C.: A refined boundary integral equation method in the theory of bending of plates. Strathclyde Math. Research Report, 24 (1995).
