• Isogeometric Shape Design Optimization

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• Isogeometric Multi-resolution
  • ¡á Multi-resolution Analysis

  • * Isogeometric analysis in crack problems
     
        - Higher continuity : stress concentration near crack tip
        - H-refinement : efficient local refinement near crack tip

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                                 Convectional Refinement                               Multi-resolution 

    * H-refinement scheme

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    * Center crack

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           - Stress intensity factor
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  • ¡á Multi-resolution Sensitivity Analysis
  • * Sensitivity formulation

        - Shape sensitivity of M-integral
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        - Shape sensitivity of Kand KII

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    * Edge crack

        - Definition of design velocity field
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         - Shape sensitivity of stress intensity factor
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