Machine Learning for the Electromechanical Coupling Problem in Composite Plates with Second Order Two Scale Algorithm

Abstract

AbstractIn this paper, a second-order two-scale algorithm is proposed for the electromechanical coupling problem of composite plates with three-dimensional small periodic structures. It can reflect the three-dimensional macroscopic electromechanical coupling behavior caused by microstructure. Firstly, based on the composite plate model with three-dimensional small period structure, the local cell function model on the reference cell is given by using the constructive method; secondly, the equivalent mechanical constants of the homogenized composite can be calculated by the local cell function, and a homogenized plate model is obtained. Using Reissner Mindlin displacement model and integral projection operator to solve this problem, a uniform solution is obtained, and a second-order two-scale algorithm is composed of uniform solution and local cell function. Finally, the convergence results and numerical examples of the second-order two-scale algorithm are given.KeywordsOrder two scale algorithmReissner Mindlin displacement modelComposite plateHomogenizationElectromechanical coupling problem