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- W2159609267 abstract "A second-order shape design sensitivity analysis (DSA) method applicable to the shape change on the loaded boundaries is derived for three-dimensional linear elastic solids using a continuum method with the material derivative. The continuum method is also used to derive mixed second-order variations of stress and displacement performance measures with respect to shape design variables and distribution of non-conservative traction loads, and also with respect to shape design variables and material properties. A shape design acceleration field is defined for the second-order shape design sensitivity. Both direct differentiation and hybrid methods are presented in this paper. A numerical method, which can be implemented using established finite element analysis (FEA) codes, is developed. The feasibility and accuracy of the proposed second-order shape DSA method has been demonstrated by solving a structural example-doubly curved arch dam." @default.
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- W2159609267 date "1995-09-15" @default.
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- W2159609267 title "A continuum approach for second-order shape design sensitivity of elastic solids with loaded boundaries" @default.
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- W2159609267 doi "https://doi.org/10.1002/nme.1620381708" @default.
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