||CMES: Computer Modeling in Engineering & Sciences, Vol. 34, No. 2, pp. 137-154, 2008
||Full length paper in PDF format. Size = 196,746 bytes
||radial point interpolation method (RPIM); topology optimization design for continuum structure; SIMP; optimality criteria method; checkerboard phenomenon
||In this paper, the meshless radial point interpolation method (RPIM) is applied to carry out a topology optimization design for the continuum structure. Considering the relative density of nodes as a design variable, and the minimization of compliance as an objective function, the mathematical formulation of the topology optimization design is developed using the SIMP (solid isotropic microstructures with penalization) interpolation scheme. The topology optimization problem is solved by the optimality criteria method. Numerical examples show that the proposed approach is feasible and efficient for the topology optimization design for the continuum structure, and can effectively overcome the checkerboard phenomenon.