Extended-finite element method as analysis model for Gauss point density topology optimization method

作者：Lee Dongkyu; Shin Soomi^*

来源：Journal of Mechanical Science and Technology, 2015, 29(4): 1341-1348.

DOI：10.1007/s12206-015-0302-z

• Gauss point density
• Material topology optimization
• Extended finite element method
• Analysis model
• Zero level set

We investigated relaxations of stress concentrations near material boundaries between voids and solid areas, with respect to solutions of FEM and extended (X)-FEM as analysis model of material topology optimization. The analysis models for FEM use SIMP material defined by an original constant element density, a constant element density determined by averaging nodal densities, and a Gauss point density. For the X-FEM analysis model, 0-1 material properties at Gauss points bisected by a zero level set contour are used. Niche and ridge enrichment functions and a Heaviside function were used to define continuous displacement fields with weak discontinuities in XFEM. Numerical examples of a deep beam under a lateral load and a given material density limitation provide the possibility of increasing the merit of the present X-FEM for continuous material topology optimization design. It can be also extended to three-dimensional or nonlinear structural problems.

• 出版日期2015-4