A novel deep learning based method for the computational material design of flexoelectric nanostructures with topology optimization

Hamdia Khader M.; Ghasemi Hamid; Bazi YakoubAlHichri HaikelAlajlan NaifRabczuk Timon

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A novel deep learning based method for the computational material design of flexoelectric nanostructures with topology optimization

机译：A novel deep learning based method for the computational material design of flexoelectric nanostructures with topology optimization

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摘要

We present a deep learning method to investigate the effect of flexoelectricity in nanostructures. For this purpose, deep neural network (DNN) algorithm is employed to map the relation between the inputs and the material response of interest. The DNN model is trained and tested making use of database that has been established by solving the governing equations of flexoelectricity using a NURBS-based IGA formulation at design points in the full probability space of the input parameters. Firstly, pure flexoelectric cantilever nanobeam is investigated under mechanical and electrical loading conditions. Then, structures of composite system constituted by two non-piezoelectric material phases are addressed in order to find the optimized topology with respect to the energy conversion factor. The results show promising capabilities of the proposed method, in terms of accuracy and computational efficiency. The deep learning method we used have produced superior optimal designs compared to the numerical methods. The findings of this study will be of profound interest to researcher involved further in the optimization and design of flexoelectric structures.

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《Finite elements in analysis & design》 |2019年第11期|21-30|共10页
作者
Hamdia Khader M.; Ghasemi Hamid; Bazi YakoubAlHichri HaikelAlajlan NaifRabczuk Timon;
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作者单位

Leibniz Univ Hannover, Inst Continuum Mech, Appelstr 11, D-30167 Hannover, Germany|Bauhaus Univ Weimar, Inst Struct Mech, Marienstr 15, D-99423 Weimar, Germany;

Arak Univ Technol, Dept Mech Engn, Arak 3818141167, Iran;

King Saud Univ, Coll Comp & Informat Sci, Dept Comp Engn, Riyadh, Saudi ArabiaKing Saud Univ, Coll Comp & Informat Sci, Dept Comp Engn, Riyadh, Saudi Arabia|Bauhaus Univ Weimar, Inst Struct Mech, Marienstr 15, D-99423 Weimar, Germany;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类应用数学;
关键词
Flexoelectricity; Piezoelectricity; Isogeometric analysis (IGA); Machine learning; Deep neural network; Topology optimization;

A novel deep learning based method for the computational material design of flexoelectric nanostructures with topology optimization

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