Interval reliability-based phase-field topology optimization for impact resistance via single-loop sequential strategy
摘要
This paper proposes an efficient interval reliability-based topology optimization (IRBTO) to enhance the impact resistance under multiple sources of uncertainty and impact loads. The fracture phase-field description of crack paths eliminates the need for finite element remeshing and presetting of pre-cracks, resulting in a reduction in the computational scale of finite element simulations. A deterministic topology optimization model constrained by external work is developed employing the fracture phase-field approach. The interval model is adopted to characterize the dispersion of structural performance and multi-source uncertainty of loads. Since cracks within the fracture phase-field can introduce significant nonlinearity in the calculation of external force work, the adaptive sub-interval dimension-wise method (ASDWM) is adopted to solve the feasible bounds of external force work. The single-loop sequential strategy decouples the nesting problem in IRBTO into two independent processes: deterministic topology optimization and uncertainty evaluation. This approach significantly reduces the number of finite element analyses required for each optimization iteration compared to traditional algorithms, thus enhancing computational efficiency. Four numerical examples are tested to verify the applicability and effectiveness of the proposed method.