2021-11-30T18:33:48Zhttps://nagoya.repo.nii.ac.jp/oaioai:nagoya.repo.nii.ac.jp:000190972021-03-01T16:22:38ZConstruction method of the cost function for the minimax shape optimization problemShintani, Kouhei55791Azegami, Hideyuki55792calculus of variationsboundary value problemshape optimizationH1 gradient methodKreisselmeier-Steinhauser functionThe present paper describes a method by which to formulate a shape optimization problem of a linear elastic continuum for minimizing the maximum value of a strength measure, such as the von Mises stress. In order to avoid the irregularity of the shape derivative of the maximum value, the Kreisselmeier-Steinhauser function of the strength measure is used as the cost function. In the cost function, a parameter is used to control the regularity of the shape derivative. In the present paper, we propose a rule by which to appropriately determine the parameter. The effectiveness of the proposed rule is confirmed through a numerical example of a cantilever problem.journal article日本応用数理学会2013application/pdfJSIAM Letters56164http://dx.doi.org/10.14495/jsiaml.5.61http://hdl.handle.net/2237/211981883-0609https://nagoya.repo.nii.ac.jp/record/19097/files/5_61.pdfeng