Abstract: Introducing a kind of isogeometric analysis methods which is based on generalized B-spline toanalyze two-dimensional elasticity problems. First, we use a piece of generalized B-spline curve to modelthe boundary of the problem domain to be analyzed, which can exactly represent boundaries including arcpieces. Then the boundary unknowns are solved through boundary integral equations, and the displacementof an arbitrary point on the boundary is obtained by interpolation based on those solved displacements andthe generalized B-spline subdivision method. In the end, we adopt triangulation and barycentric coordinatesto compute the corresponding values inside the domain, the proposed method greatly reduces the computationalcomplexity and improves the precision of the results. The patch test and other examples prove ourproposed method is effective.