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Using a level set method and topological derivatives, a topological shape optimization method that is independent of an initial design is developed for linearly elastic structures. In the level set method, the initial domain is kept fixed and its boundary is represented by an implicit moving boundary embedded in the level set function, which facilitates to handle complicated topological shape changes. The “Hamilton-Jacobi(H-J)” equation and computationally robust numerical technique of “up-wind scheme” lead the initial implicit boundary to an optimal one according to the normal velocity field while minimizing the objective function of compliance and satisfying the constraint of allowable volume. Based on the asymptotic regularization concept, the topological derivative is considered as the limit of shape derivative as the radius of hole approaches to zero. The required velocity field to update the H-J equation is determined from the descent direction of Lagrangian derived from optimality conditions. It turns out that the initial holes are not required to get the optimal result since the developed method can create holes whenever and wherever necessary using indicators obtained from the topological derivatives. It is demonstrated that the proper choice of control parameters for nucleation is crucial for efficient optimization process.

BACKGROUND

Game-type kidult toys based on Augmented Reality (AR) have been introduced to the market and they have attracted much interest from users. It seems time to view this trend from various perspectives, not just that of games, and to try to discuss the issue in terms of convergence with other disciplines. The current paper aims to perform a comparative analysis of IT technology-based kidult toys and develop new kidult culture contents utilizing AR. The results of the present research are expected to help vitalize and expand the area of AR-based culture contents.