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Rapid Green Synthesis of Silver Nanoparticles by Reishi and Their Antibacterial Activity and Mechanisms

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Multilayers Plates Buckling by Mixed Finite Elements

Journal of Biomaterials and Nanobiotechnology（生物材料与纳米技术） 2024年第3期 51页

作者： Akamu J. Ewunkem T’nasia Priester desia williams Bailey Ariyon Ilunga Tshimanga Brittany Justice Dinesh K. Singh

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Journal of Civil Engineering and Architecture 2017年第10期11卷 943-951页

作者： Roberto S. Carnicer Braian A. desia Rodolfo A. Schwarz Faculty of Engineering University of Belgrano Buenos Aires C1059ABQ Argentina

It is presented a buckling analysis ofmultilayered plates by the finite elements method with mixed unknowns （displacement and rotations, and transverse interlaminar stresses）. In the mixed model, each layer is analyzed as a single plate, where the continuity of displacement is ensured by Lagrange multipliers which represent static variables. This procedure is easy to be implemented from the computational point of view. A methodology to solve the eigen problem is presented based on the inverse iteration method. The model is verified successfully with results obtained by other authors.

关键词： Multilayered plates buckling finite elements interlaminar stresses.

Determination of Natural Frequencies of Multilayered Plates by Mixed Finite Elements

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Journal of Mechanics Engineering and Automation 2014年第10期4卷 820-827页

作者： Roberto S. Carnicer Braian A. desia Rodolfo A. Schwarz Faculty of Engineering University of Belgrano Autonomous City of Buenos Aires C1426BMJ Argentina

Natural frequencies for multilayer plates are calculated by mixed finite element method. The main object of this paper is to use the mixed model for multilayer plates, analyzing each layer as an isolated plate, where the continuity of displacements is achieved by Lagrange multipliers （representing static variables）. This procedure allows us to work with any model for single plate （so as to ensure the proper behavior of each layer）, and the complexity of the multilayer system is avoided by ensuring the condition of displacements by the Lagrange multipliers （static variables）. The plate is discretized by finite element modeling based on a primary hybrid model, where the domain is divided by quadrilateral, both for the displacement field and static variables. This mixed element for plates was implemented and several examples of vibrations have been verified successfully by the results obtained by other methods in the literature.

关键词： Mixed finite element multilayer plate Lagrange multipliers natural frequencies free vibrations.

Direct Assessment of Interlaminar Stresses in Composite Multilayered Plates Using a Layer-Wise Mixed Finite Element Model

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Journal of Civil Engineering and Architecture 2016年第6期10卷 696-706页

作者： Roberto S. Camicer Braian A. desia Rodolfo A. Schwarz Faculty of Engineering University of Belgrano Buenos Aires C1059ABQ Argentina

An accurate determination of intedaminar transversal stresses in composite multilayered plates, especially near free-edge, is of great importance in the study of inter-ply damage modes, mainly in the initiation and growth of delamination. In this paper, interlaminar stresses are determined by layer-wise mixed finite element model. Each layer is analyzed as an isolated one where the displacement continuity is ensured by means of Lagrange multipliers （which represent the statics variables）. This procedure allows the authors to work with any single plate model, obtaining the interlaminar stresses directly without loss of precision. The FSDT （first shear deformation theory） with transverse normal strain effects included is assumed in each layer, but Lagrange polynomials are used to describe the kinematic instead of Taylor＇s polynomial functions of the thickness coordinates, as is common. This expansion allows the authors to pose the interlaminar displacements compatibility simpler than the second one. The in-plane domain of the plate is discretized by four-node quadrilateral elements, both to the field of displacement and to the Lagrange multipliers. The mixed interpolation of tensorial components technique is applied to avoid the shear-locking in the finite element model. Several examples were carried out and the results have been satisfactorily compared with those available in the literature.

关键词： Interlaminar stresses multilayered plates mixed finite element Lagrange multipliers.