Interpolated boundary conditions in plate bending problems using C1-curved finite elements Original Research Article

The purpose of this paper is to construct high order C1-curved finite elements which are useful for the approximate solutions of plate bending problems with clamp or simply support boundary conditions over nonpolygon domains. This kind of finite elements is defined over the exact domain of the problem, and the corresponding approximate solution is also obtained over the original domain. Moreover, the effect of the numerical quadrature schemes is studied.