@article{oai:nagoya.repo.nii.ac.jp:00005642, author = {下田, 昌利 and Shimoda, Masatoshi and 畔上, 秀幸 and Azegami, Hideyuki and 桜井, 俊明 and Sakurai, Toshiaki}, issue = {607}, journal = {日本機械学会論文集 A編}, month = {Mar}, note = {We describe a numerical shape optimization method of continua that minimizes maximum local measure such as stress and displacement. A solution to this min-max problem subject to volume constraint is proposed. To avoid impossibility of differentiation, local functionals are transposed to global integral functionals using the Kreisselmeier -Steinhauser function. With this function, a multiple loading problem is also transposed to a single loading problem.The shape gradient functions which are applied to the traction method. Using the traction method, the optimum domain variation to decrease the objective functional is numerically and iteratively determined that maintaining the smoothness of the boundaries. The calculated results of 2D and 3D examples show the effectiveness and practical utility of the proposed method for min-max problems in shape designs.}, pages = {610--617}, title = {形状最適化におけるミニマックス問題の数値解法(最大応力と最大変位の最小設計)}, volume = {63}, year = {1997} }