Flexoelectricity is a size-dependent phenomenon which gives an electric response to the inhomogeneous strain in centrosymmetric as well as non-centrosymmetric crystalline materials. In this novel work, an analytical model was developed for the elastic shell laminated with flexoelectric graphene-based composite layer based on Kirchhoff–Love theory considering both piezoelectric and flexoelectric effects to investigate the electric potential distributions in it. Moreover, finite element (FE) models were developed to validate the analytical results. Developed models envisage the results for the distribution of electric potentials in graphene-based composite shell and results predicted by both analytical and FE models are found to be in better agreement. Our results reveal that the electromechanical behavior of laminated shell is significantly improved due to the incorporation of flexoelectric effect. The consideration of flexoelectric effect results in the increase in the values of total electric potential of laminated shell by (i) ~340% for mode (1,1), (ii) ~300% when the thickness of composite layer is 15 nm, (iii) 315% when the radius of base shell is 50 nm and (iv) ~244% when the shell thickness is 40 nm compared to that of conventional case (i.e., shell laminated with piezoelectric layer). The major advantage of flexoelectric layer over that of piezoelectric layer is that the former is not influenced by the in-plane strains of base shell.

柔电是一种与尺寸有关的现象，会对中心对称和非中心对称晶体材料中的不均匀应变产生电响应。在这项新颖的工作中，基于基尔霍夫-洛夫理论，在考虑压电和挠电效应的基础上，开发了基于柔性电石墨烯基复合层的弹性壳层的分析模型，以研究其中的电位分布。此外，开发了有限元（FE）模型以验证分析结果。已开发的模型设想了石墨烯基复合壳中电势分布的结果，并且分析模型和有限元模型所预测的结果都发现更加吻合。我们的结果表明，由于引入了柔电效应，叠层壳的机电性能得到了显着改善。考虑到柔电效应，对于模式（1,1），叠层壳的总电势值增加（i）〜340％，当复合层的厚度为15 nm时，（ii）〜300％， （iii）与常规情况（即层叠有压电层的壳体）相比，当底壳的半径为50 nm时为315％，（iv）当壳厚度为40 nm时为〜244％。柔性电层优于压电层的主要优点是，前者不受基壳面内应变的影响。考虑到柔电效应，对于模式（1,1），叠层壳的总电势值增加（i）〜340％，当复合层的厚度为15 nm时，（ii）〜300％， （iii）与常规情况（即层叠有压电层的壳体）相比，当底壳的半径为50 nm时为315％，（iv）当壳厚度为40 nm时为〜244％。柔性电层优于压电层的主要优点是，前者不受基壳面内应变的影响。考虑到柔电效应，对于模式（1,1），叠层壳的总电势值增加（i）〜340％，当复合层的厚度为15 nm时，（ii）〜300％， （iii）与常规情况（即层叠有压电层的壳体）相比，当底壳的半径为50 nm时为315％，（iv）当壳厚度为40 nm时为〜244％。柔性电层优于压电层的主要优点是，前者不受基壳面内应变的影响。