Multi-objective topology optimization of thermoelastic structures based on points density using element-free Galerkin method

This paper introduces a numerical model for multi-objective topology optimization of thermoelastic structures using the element-free Galerkin (EFG) method and the solid isotropic material with penalization (SIMP) method. The design variable is defined as the relative density at EFG calculation points, and the multi-objective function is formulated as a weighted sum of mean compliance and heat dissipation. The paper discusses the effects of node distribution schemes, weight coefficients, and filtering on optimization outcomes. Results show that the proposed EFG model allows flexible node distribution. The weight coefficient influences the balance between heat dissipation and structural strength, affecting the normalized weighted objective function's final value. Filtering is essential for this model, with the filtering radius critically ensuring the continuity and effectiveness of optimized structures. A filtering radius of 8–16 calculation points is recommended after the testing. The proposed EFG multi-objective optimization model effectively addresses the dual design requirements for heat dissipation and strength in thermoelastic structures for practical engineering applications.