This paper proposes a structural optimization method for obtaining mechanical structures that maximize structural stiffness, based on the level set method and topological derivatives. First, the basic concepts of a structural optimization method based on the level set method are briefly explained, and the minimum mean compliance problem is formulated. The concept of topological derivatives for cases where mean compliance is to be minimized is also explained. The specific values of such

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... es can provide crucial information concerning whether or not a hole can be created in a specified portion of the design domain. Next, a new optimization algorithm for a structural optimization based on the level set method is constructed by integrating the concept of topological derivatives. A new type of filtering scheme is also developed in order to obtain a clear optimal configuration. Finally, several examples are provided to confirm the usefulness of the proposed structural optimization method.