A coupled meshless element-free Galerkin and radial basis functions method for level set-based topology optimization

This paper presents a meshless element-free Galerkin method coupled with the radial basis functions (RBFs)-based level set algorithm for topology optimization. The approach provides structural response and corresponding sensitivities at nodal/grid points, solution of RBFs-based formulation updates geometry accordingly. Thus, this unique novel allows optimization problems using single discretization scheme both methods. A special technique is proposed identification nodal points within solid void regions geometry. present handles appropriate topological modifications, i.e. hole creation, splitting, merging, etc., affectively. Optimal solutions benchmark suggest reliability compatibility versus mesh-based techniques available literature.