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Shape Gradient for Isogeometric Structural Design

Author

Listed:
  • Louis Blanchard

    (INRIA OPALE Project-Team)

  • Régis Duvigneau

    (INRIA OPALE Project-Team)

  • Anh-Vu Vuong

    (Tech. Universität Kaiserslautern)

  • Bernd Simeon

    (Tech. Universität Kaiserslautern)

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 difficulties 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 specifically, shape gradient computations.

Suggested Citation

  • Louis Blanchard & Régis Duvigneau & Anh-Vu Vuong & Bernd Simeon, 2014. "Shape Gradient for Isogeometric Structural Design," Journal of Optimization Theory and Applications, Springer, vol. 161(2), pages 361-367, May.
    • Handle: RePEc:spr:joptap:v:161:y:2014:i:2:d:10.1007_s10957-013-0435-0
    DOI: 10.1007/s10957-013-0435-0
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    Cited by:

    1. Jack Reilly & Samitha Samaranayake & Maria Laura Delle Monache & Walid Krichene & Paola Goatin & Alexandre M. Bayen, 2015. "Adjoint-Based Optimization on a Network of Discretized Scalar Conservation Laws with Applications to Coordinated Ramp Metering," Journal of Optimization Theory and Applications, Springer, vol. 167(2), pages 733-760, November.

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    Keywords

    Sensitivity analysis; Linear elasticity;

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