Topology optimization of deformable bodies with dissimilar interfaces

Topology Optimization of Deformable Bodies with Linear Dynamic Impact and Frictionless Contact Condition

“…Based on the basic concept and framework of the linear dynamic analysis considering frictionless contact conditions, this subsection presents a method to apply the condensed localized mortar method [19] in the linear dynamic analysis to derive the contact force vector f c in Equation (4).…”

“…However, this is only feasible in the matching interface meshes owing to the features of the node-to-node contact condition. Jeong et al presented a new topology optimization technique based on a surface-to-surface contact condition to handle both the matching and non-matching interface meshes [19]. The surface-to-surface contact condition was treated by the condensed mortar method and a filtering scheme considering the size of the element was introduced to alleviate some discontinuities present on the non-matching interface.…”

“…Firstly, the condensed mortar method is used to handle the non-matching interface, which is inevitably caused by the relative motion near the impact region. The condensed mortar method presents several advantages when applied in topology optimization because it can be applied in the same manner as that of conventional structural analysis, even in the presence of a non-matching interface [19]. Since previous studies only considered a linear static problem [19], the proposed approach presents a way of applying the condensed mortar method in a linear dynamic topology optimization.…”

“…The condensed mortar method presents several advantages when applied in topology optimization because it can be applied in the same manner as that of conventional structural analysis, even in the presence of a non-matching interface [19]. Since previous studies only considered a linear static problem [19], the proposed approach presents a way of applying the condensed mortar method in a linear dynamic topology optimization. Secondly, the solid isotropic method with penalization (SIMP) method is used to determine the optimum topological layout [13].…”

“…The mean dynamic compliance and mean squared displacement of a target DOF are considered as an objective function in this study to obtain an optimum topological layout for a linear dynamic system [13]. Furthermore, a filtering scheme that considers the size of an element is applied to handle discontinuities along the non-matching interface [19]. As a result, the approach proposed in this paper can be easily used in various applications including analysis and design because the non-matching interface are simply handled by applying the condensed localized mortar method to the well-known linear dynamic analysis methods.…”