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Shape Gradient for Isogeometric Structural Design

Abstract : The transfer of geometrical data from CAD (Computer Aided Design) to FEA (Finite-Element Analysis) is a bottleneck of automated design optimization procedures, yielding a loss of accuracy and cumbersome software couplings. Isogeometric analysis methods propose a new paradigm, that allows one to overcome these di fficulties by using a unique geometrical representation, yielding a direct relationship between geometry and analysis. In this study, in the framework of linear elasticity problems, we investigate its use for sensitivity analysis and, more speci cally, shape gradient computations.
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https://hal.inria.fr/hal-00998594
Contributor : Régis Duvigneau <>
Submitted on : Monday, June 2, 2014 - 2:00:50 PM
Last modification on : Monday, October 12, 2020 - 2:28:04 PM
Long-term archiving on: : Tuesday, September 2, 2014 - 12:11:31 PM

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Louis Blanchard, Régis Duvigneau, Anh-Vu Vuong, Bernd Simeon. Shape Gradient for Isogeometric Structural Design. Journal of Optimization Theory and Applications, Springer Verlag, 2014, 161 (2), pp.361-367. ⟨10.1007/s10957-013-0435-0⟩. ⟨hal-00998594⟩

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