Magneto-Electro-Elastic Analysis of Doubly-Curved Shells: Higher-Order Equivalent Layer-Wise Formulation

作     者：Francesco Tornabene Matteo Viscoti Rossana Dimitri 

作者机构：Department of Innovation EngineeringUniversity of SalentoLecce73100Italy 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模(英文))

年 卷 期：2025年第142卷第2期

页      面：1767-1838页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：funded by the Project PNRR M4C2—Innovation Grant DIRECT:Digital twIns foR EmergenCy supporT—CUP F83C22000740001 

主　　题：Magneto-electro-elastic materials equivalent layer-wise generalized differential quadrature higher-order theories navier solution recovery procedure smart structures 

摘      要：Recent engineering applications increasingly adopt smart materials,whose mechanical responses are sensitive to magnetic and electric *** this context,new and computationally efficient modeling strategies are essential to predict the multiphysic behavior of advanced structures ***,the manuscript presents a higher-order formulation for the static analysis of laminated anisotropic magneto-electro-elastic doubly-curved shell *** fundamental relations account for the full coupling between the electric field,magnetic field,and mechanical *** configuration variables are expanded along the thickness direction using a generalized formulation based on the Equivalent Layer-Wise ***-order polynomials are selected,allowing for the assessment of prescribed values of the configuration variables at the top and bottom sides of *** addition,an effective strategy is provided for modeling general surface distributions of mechanical pressures and electromagnetic external *** model is based on a continuum-based formulation which employs an analytical homogenization of the multifield material properties,based on Mori&Tanaka approach,of a magneto-electro-elastic composite material obtained from a piezoelectric and a piezomagnetic phase,with coupled magneto-electro-elastic effects.A semi-analytical Navier solution is applied to the fundamental equations,and an efficient post-processing equilibrium-based procedure is here used,based on the numerical assessment with the Generalized Differential Quadrature(GDQ)method,to recover the response of three-dimensional *** formulation is validated through various examples,investigating the multifield response of panels of different curvatures and lamination *** efficient homogenization procedure,based on the Mori&Tanaka approach,is employed to obtain the three-dimensional constitutive relation of magneto-electro-elastic *** model is validated against three-d