Layerwise third-order shear deformation theory with transverse shear stress continuity for piezolaminated plates  

作　　者：Yingshan GAO Shunqi ZHANG Wei HU Songyun MA Bernd MARKERT 

机构地区：[1]School of Mechatronic Engineering and Automation,Shanghai University,Shanghai 200444,China [2]Key Laboratory of Silicate Cultural Relics Conservation(Shanghai University),Ministry of Education,Shanghai 20044,China [3]Institute of General Mechanics,RWTH Aachen University,Aachen 52062,Germany

出　　处：《Chinese Journal of Aeronautics》2024年第9期490-505,共16页中国航空学报（英文版）

基　　金：support from the National Natural Science Foundation of China (No.11972020);the Natural Science Foundation of Shanghai,China (No.21ZR1424100).

摘　　要：Regarding laminated structures,an electromechanically coupled Finite Element(FE)model based on Layerwise Third-Order Shear Deformation(LW-TOSD)theory is proposed for sta-tic and dynamic analysis.LW-TOSD ensures the continuity of in-plane displacements and trans-verse shear stresses.The current LW-TOSD can be applied to arbitrary multi-layer laminated structures with only seven Degrees of Freedom(DOFs)for each element node and eliminates the use of the shear correction factors.Moreover,a shear penalty stiffness matrix is constructed to sat-isfy artificial constraints to optimize the structural shear strain.A dynamic finite element model is obtained based on LW-TOSD using the Hamilton's principle.First,the accuracy of the current model is validated by comparing with literature and ABAQUS results.Then,this study carries out numerical investigations of piezolaminated structures for different width-to-thickness ratios,length-to-width ratios,penalty stiffness matrix,boundary conditions,electric fields and dynamics.

关 键 词：Laminated structures Piezolaminated structures Third-order shear deformation theory Shear stress continuity Electromechanically coupled 

分 类 号：O34[理学—固体力学]