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    <subfield code="a">Kumar, Kunnath Sashi</subfield>
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    <subfield code="a">Boundary integral equations for plate bending</subfield>
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    <subfield code="a">A boundary integral equation formulation for the general solution of plate bending problems is presented. plate bending theory, a set of Bearing on Kirchoff's thin, elastic simple integral equations on the plate  boundary is developed using the  and Betti. Included herein are  classical reciprocal theorem by Maxwell the concepts of a "decoy" domain whose solution at any arbitrary point is completely determinable; and a  "virtual" plate that incorporates the boundary conditions of the real plate and has its forces distributed around the boundary of the region only. Hence , no double integral term is required to account for the domain loading. The solution of the basic integral equations yield the boundary unknowns of the plate. Thereafter, the solution can be extended to any point inside the domain by simply including only the point of  interest in the boundary integral equation. Also discussed is the  evaluation of finite but improper integrals that yield singular values at the point of application of the load in the decoy system.  Numerical testing carried out on several plates subject to different boundary conditions and domain loads exhibit excellent convergence characteristics and compare extremely well with exact analytical results.</subfield>
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