• Isogeometric Shape Design Optimization

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• Design optimization of metamaterials *Structures with Negative Poisson's Ratio & Band-gap
  • ¡á Shape and Sizing Optimization on Geometrically Exact Beam
  • * Formulations of geometrically exact beam model

         - Initial and deformed configurations

                        
     
         - Balance equations

                           

         - Strain measures with linear elastic constitutive relation
                         
                        
    where,
                       


    * Shape and sizing design variables with NURBS parametrization

      • ¡á Optimization and Deformation of Negative Poisson's Ratio Structure
      • * Optimization problem

                         

         
        * Optimization history



        * Designed NPR structures under tension and compression






          • ¡á Design of Extremal Bandgap structure
          •  * Optimization problem

                                 


            * Optimization history


            * Results