Robust topology optimization under material and loading uncertainties using an evolutionary structural extended finite element method

This research presents a novel algorithm for robust topology optimization of continuous structures under material and loading uncertainties by combining an evolutionary structural (ESO) method with extended finite element (XFEM). Conventional approaches (e.g. ESO) often require additional post-processing to generate manufacturable smooth boundaries. By adopting the XFEM boundary representation in (FE) framework, proposed eliminates this time-consuming stage produces more accurate evaluation elements along design ESO-based methods. A truncated Gaussian random field (without negative values) using memory-less translation process is utilized uncertainty analysis property load angle distribution. The superiority over Monte Carlo, solid isotropic penalization (SIMP) polynomial chaos expansion (PCE) classical (FEM) demonstrated via two practical examples compliances improved approximately 11% 10%, respectively. novelty present lies following aspects: (1) paper among first use studying uncertainty; (2) due adopted FE there no need any techniques. effectiveness justified clear boundaries obtained.