scholarly journals Reissner’s mixed variational theorem toward MITC finite elements for multilayered plates

2013 ◽  
Vol 99 ◽  
pp. 443-452 ◽  
Author(s):  
Claudia Chinosi ◽  
Maria Cinefra ◽  
Lucia Della Croce ◽  
Erasmo Carrera
Keyword(s):  
Finite Elements ◽  
Variational Theorem ◽  
Multilayered Plates ◽  
Reissner’S Mixed Variational Theorem

Refined Multilayered Plate Elements for Coupled Magneto‐Electro‐Elastic Analysis

2009 ◽  
Vol 5 (2) ◽  
pp. 119-138 ◽  
Author(s):  
M. Di Gifico ◽  
P. Nali ◽  
S. Brischetto
Keyword(s):  
Finite Elements ◽  
Kinematic Model ◽  
Single Layer ◽  
Laminated Plates ◽  
Governing Equations ◽  
Elastic Fields ◽  
Plate Elements ◽  
Plate Models ◽  
Multilayered Plates ◽  
Principle Of Virtual Displacements

Finite elements for the analysis of multilayered plates subjected to magneto‐electro‐elastic fields are developed in this work. An accurate description of the various field variables has been provided by employing a variable kinematic model which is based on the Unified Formulation, UF. Displacements, magnetic and electric potential have been chosen as independent unknowns. Equivalent single layer and layer‐wise descriptions have been accounted for. Plate models with linear up to fourth‐order distribution in the thickness direction have been compared. The extension of the principle of virtual displacements to magneto‐electro‐elastic continua has been employed to derive finite elements governing equations. According to UF these equations are presented in terms of fundamental nuclei whose form is not affected by kinematic assumptions. Results show the effectiveness of the proposed elements as well as their capability, by choosing appropriate kinematics, to accurately trace the static response of laminated plates subject to magneto‐electro‐elastic fields.

Considerations on higher-order finite elements for multilayered plates based on a Unified Formulation

2006 ◽  
Vol 84 (19-20) ◽  
pp. 1222-1235 ◽  
Author(s):  
M. D’Ottavio ◽  
D. Ballhause ◽  
T. Wallmersperger ◽  
B. Kröplin
Keyword(s):  
Finite Elements ◽  
Higher Order ◽  
Multilayered Plates ◽  
Higher Order Finite Elements
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