The singular boundary method(SBM)is a relatively new meshless boundary collocation method for the numerical solution of certain elliptic boundary value problems.The method involves a coupling between the boundary element method(BEM)and the method of fundamental solutions(MFS).Here,the method is developed for two-dimensional(2-D)thin-structural problems with thickness-to-length ratio in the micro(1E-6)or nano(1E-9)scales.An efficient non-linear co-ordinate transformation,based on the sinh function,is developed to deal with the troublesome nearly-singular integrals arising in the SBM formulation for thin structures.Also,this paper documents the first attempt to apply the fast multipole method(FMM)to accelerate the solutions of the SBM for the solution of large-scale problems with thin shapes.Numerical examples with up to 900,000 unknowns are solved successfully on a desktop computer using the developed FMM-SBM code.These results clearly demonstrate the efficiency,accuracy and potentials of the FMM-SBM for solving large-scale thin-structural problems.