Yf. Rashed et al., HYPERSINGULAR BOUNDARY-ELEMENT FORMULATION FOR REISSNER PLATES, International journal of solids and structures, 35(18), 1998, pp. 2229-2249
In this work, the hypersingular boundary element formulation for plate
bending analysis based on Reissner theory is presented. First order T
aylor expansion are used to deal with the strong singularity O(1/r), w
hereas, rigid body considerations together with the Taylor expansion a
re used to compute the hypersingular kernels O(1/r(2)). The plate boun
dary is discretised into quadratic isoparametric discontinuous boundar
y elements to satisfy the continuity requirements for the boundary unk
nowns. Several examples are tested, including thin and thick plates. T
he results show a good agreement with both the analytical solutions an
d the corresponding results for the standard displacement boundary ele
ment formulation. (C) 1998 Elsevier Science Ltd. All rights reserved.