Abstract:

 The boundary point method (BPM) is a newly developed boundarytype meshless method with favorable features of both the method of fundamental solution (MFS) and the boundary element method (BEM). The present paper extends the BPM to the numerical analysis of linear elasticity. In order to improve accuracy of stresses near boundaries due to the near singularity in postprocessing and in the analysis of thinwall structures, quadratic moving elements are introduced into BPM in addition to the original constant moving elements. Numerical tests are carried out with benchmark examples in the two dimensional elasticity. Good agreement is observed between the numerical results and the rigorous solutions.

Key words:  boundary point method （BPM）; quadratic moving element; fundamental solution; onepoint computing;elasticity