A level-set based IGA formulation for topology optimization of flexoelectric materials

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• 作者：Hamid Ghasemi^c ; ^{hamid.ghasemi@uni-weimar.de} ; Harold S. Park^d ; ^{parkhs@bu.edu} ; Timon Rabczuk^a ; ^b ; ^c ; ^{timon.rabczuk@tdt.edu.vn}
• 关键词：Flexoelectricity ; Topology optimization ; Level set ; Isogeometric analysis (IGA) ; Micro-nanostructure
• 刊名：Computer Methods in Applied Mechanics and Engineering
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：313
• 期：Complete
• 页码：239-258
• 全文大小：1518 K
• 卷排序：313

文摘

NURBS elements are successfully employed to model the flexoelectric effect in dielectrics. Topology optimization of flexoelectric micro and nanostructures can enhance their energy conversion efficiency. An efficient design methodology based on a combination of isogeometric analysis (IGA), level set and point wise density mapping techniques is presented. The point wise density mapping is directly used in the weak form of the governing equations and its derivative is consistently derived using adjoint sensitivity technique.