Multiresolution and multimaterial topology optimization of fail-safe structures under B-spline spaces

This study proposes a B-spline-based multiresolution and multimaterial topology optimization(TO)design method for fail-safe structures(FSSs),aiming to achieve efficient and lightweight structural design while ensuring safety and facilitating the postprocessing of topological structures.The approach involves constructing a multimaterial interpolation model based on an ordered solid isotropic material with penalization(ordered-SIMP) that incorporates failsafe considerations.To reduce the computational burden of finite element analysis,we adopt a much coarser analysis mesh and finer density mesh to discretize the design domain,in which the density field is described by the B-spline function.The B-spline can efficiently and accurately convert optimized FSSs into computer-aided design models.The 2D and 3D numerical examples demonstrate the significantly enhanced computational efficiency of the proposed method compared with the traditional SIMP approach,and the multimaterial TO provides a superior structural design scheme for FSSs.Furthermore,the postprocessing procedures are significantly streamlined.