Layerwise third-order shear deformation theory with transverse shear stress continuity for piezolaminated plates |
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| Affiliation: | 1.School of Mechatronic Engineering and Automation,Shanghai University,Shanghai 200444,China;2.School of Mechatronic Engineering and Automation,Shanghai University,Shanghai 200444,China;Key Laboratory of Silicate Cultural Relics Conservation(Shanghai University),Ministry of Education,Shanghai 200444,China;3.Institute of General Mechanics,RWTH Aachen University,Aachen 52062,Germany |
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| Abstract: | 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. |
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| Keywords: | Laminated structures Piezolaminated structures Third-order shear deforma-tion theory Shear stress continuity Electromechanically coupled |
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