Open Access

ARTICLE

Boundary Element Stress Analysis of Thick Reissner Plates in Bending under Generalized Loading

A. El-Zafrany¹

1 School of Mechanical Engineering, Cranfield University, Cranfield, Bedford MK43 OAL, England, UK.

Computer Modeling in Engineering & Sciences 2001, 2(1), 27-38. https://doi.org/10.3970/cmes.2001.002.027

Abstract

In a recent publication, the author has introduced boundary integral equations for thick plate bending problems, for cases with generalized types of loading. Internal bending moments and shear forces, required for stress analysis, were calculated by means of a finite difference procedure, which requires fine boundary element meshes to achieve an acceptable degree of accuracy. In this paper, boundary integral equations for internal bending moments and shear forces are presented for thick Reissner plates in bending. Domain loading terms in those boundary integral equations have also been simplified for a variety of loading types including concentrated loading, linearly-distributed loading, and line bending moments and shear forces acting on arbitrary curves defined on the plate surface. A number of case studies, with different loading and boundary conditions, have been analysed and boundary element results have been compared with corresponding analytical solutions. It is clear that the boundary integral equations, presented in this work, for internal bending moments and shear forces, have led to very accurate results for plate bending problems with generalized types of loading.

---