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Academic literature on the topic 'Refined Zigzag Theory'

Author: Grafiati
Published: 14 March 2023

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Journal articles on the topic "Refined Zigzag Theory"

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Iurlaro, Luigi, Marco Gherlone, Massimiliano Mattone, and Marco Di Sciuva. "Experimental assessment of the Refined Zigzag Theory for the static bending analysis of sandwich beams." Journal of Sandwich Structures & Materials 20, no. 1 (June 12, 2016): 86–105. http://dx.doi.org/10.1177/1099636216650614.

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In the present work, for the first time, the accuracy of the Refined Zigzag Theory in reproducing the static bending response of sandwich beams is experimentally assessed. The theory is briefly reviewed and an analytical solution of the equilibrium equations is presented for the boundary and loading conditions under investigation (four-point bending). The experimental campaign is described, including the material characterization and the bending tests. The experimentally measured deflections and axial strains are compared with those provided by Refined Zigzag Theory and by the Timoshenko Beam Theory with an ad hoc shear correction factor. The Refined Zigzag Theory is shown to be more accurate than the Timoshenko Beam Theory, in particular for beams with higher face-to-core thickness and stiffness ratios and with a reduced slenderness.
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Tessler, Alexander, Marco Di Sciuva, and Marco Gherlone. "A Refined Zigzag Beam Theory for Composite and Sandwich Beams." Journal of Composite Materials 43, no. 9 (January 29, 2009): 1051–81. http://dx.doi.org/10.1177/0021998308097730.

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Ghorbanpour-Arani, A., F. Kolahdouzan, and M. Abdollahian. "Nonlocal buckling of embedded magnetoelectroelastic sandwich nanoplate using refined zigzag theory." Applied Mathematics and Mechanics 39, no. 4 (February 20, 2018): 529–46. http://dx.doi.org/10.1007/s10483-018-2319-8.

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Wimmer, Heinz, Werner Hochhauser, and Karin Nachbagauer. "Refined Zigzag Theory: an appropriate tool for the analysis of CLT-plates and other shear-elastic timber structures." European Journal of Wood and Wood Products 78, no. 6 (August 28, 2020): 1125–35. http://dx.doi.org/10.1007/s00107-020-01586-x.

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Abstract Cross laminated timber (CLT), as a structural plate-like timber product, has been established as a load bearing product for walls, floor and roof elements. In a bending situation due to the transverse shear flexibility of the crossing layers, the warping of the cross section follows a zigzag pattern which should be considered in the calculation model. The Refined Zigzag Theory (RZT) can fulfill this requirement in a very simple and efficient way. The RZT, founded in 2007 by A. Tessler (NASA Langley Research Center), M. Di Sciuva and M. Gherlone (Politecnico Torino) is a very robust and accurate analysis tool, which can handle the typical zigag warping of the cross section by introducing only one additional kinematic degree of freedom in case of plane beams and two more in case of biaxial bending of plates. Thus, the RZT-kinematics is able to reflect the specific and local stress behaviour near concentrated loads in combination with a warping constraint, while most other theories do not. A comparison is made with different methods of calculation, as the modified Gamma-method, the Shear Analogy method (SA) and the First Order Shear Deformation Theory (FSDT). For a test example of a two-span continuous beam, an error estimation concerning the maximum bending stress is presented depending on the slenderness L/h and the width of contact area at the intermediate support. A stability investigation shows that FSDT provides sufficiently accurate results if the ratio of bending and shear stiffness is in a range as stated in the test example. It is shown that by a simple modification in the determination of the zigzag function, the scope can be extended to beams with arbitrary non-rectangular cross section. This generalization step considerably improves the possibilities for the application of RZT. Furthermore, beam structures with interlayer slip can easily be treated. So the RZT is very well suited to analyze all kinds, of shear-elastic structural element like CLT-plate, timber-concrete composite structure or doweled beam in an accurate and unified way.
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Flores, Fernando G., Sergio Oller, and Liz G. Nallim. "On the analysis of non-homogeneous laminates using the refined zigzag theory." Composite Structures 204 (November 2018): 791–802. http://dx.doi.org/10.1016/j.compstruct.2018.08.018.

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Ascione, Alessia, and Marco Gherlone. "Nonlinear static response analysis of sandwich beams using the Refined Zigzag Theory." Journal of Sandwich Structures & Materials 22, no. 7 (August 23, 2018): 2250–86. http://dx.doi.org/10.1177/1099636218795381.

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The Refined Zigzag Theory (RZT) is assessed for the buckling and nonlinear static response analysis of multilayered composite and sandwich beams. A nonlinear formulation of the RZT is developed taking into account geometric imperfections and nonlinearities using the Von Kármán nonlinear strain-displacement relations. FE analyses are conducted employing C0-beam elements based on the RZT and the Timoshenko Beam Theory (TBT) to model three sandwich beams with different core materials and slenderness ratios, in both simply supported and cantilever configurations. The reference solutions are obtained by high-fidelity FE commercial codes, Abaqus® and Nastran®. The first two buckling loads are evaluated for the beams without initial imperfections. Several shapes are then assumed as geometric imperfections to calculate the beams’ nonlinear response to axial-compressive loads. The comparisons show the very high accuracy of the RZT (comparable to high fidelity FE commercial codes) for both the buckling and nonlinear static analyses and its superior capability with respect to the TBT to deal with sandwich beams with low slenderness ratio and higher face-to-core stiffness ratio.
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Treviso, Alessandra, Domenico Mundo, and Michel Tournour. "Dynamic response of laminated structures using a Refined Zigzag Theory shell element." Composite Structures 159 (January 2017): 197–205. http://dx.doi.org/10.1016/j.compstruct.2016.09.026.

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Hasim, K. Ahmet. "Isogeometric static analysis of laminated composite plane beams by using refined zigzag theory." Composite Structures 186 (February 2018): 365–74. http://dx.doi.org/10.1016/j.compstruct.2017.12.033.

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Gherlone, Marco, Daniele Versino, and Vincenzo Zarra. "Multilayered triangular and quadrilateral flat shell elements based on the Refined Zigzag Theory." Composite Structures 233 (February 2020): 111629. http://dx.doi.org/10.1016/j.compstruct.2019.111629.

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Nallim, Liz G., Sergio Oller, Eugenio Oñate, and Fernando G. Flores. "A hierarchical finite element for composite laminated beams using a refined zigzag theory." Composite Structures 163 (March 2017): 168–84. http://dx.doi.org/10.1016/j.compstruct.2016.12.031.

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Dissertations / Theses on the topic "Refined Zigzag Theory"

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Eijo, A. (Ariel). "Finite element modeling of delamination in advanced composite beams and plates using one- and two-dimensional finite elements based on the refined zigzag theory." Doctoral thesis, Universitat Politècnica de Catalunya, 2014. http://hdl.handle.net/10803/286739.

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Although laminated materials have been used for decades, their employment has increased nowadays in the last years as a result of the gained confidence of the industry on these materials. This has provided the scientific community many reasons to dedicate considerable amount of time and efforts to address a better understanding of their mechanical behavior. With this objective both, experimental and numerical simulation have been working together to give response to a variety of problems related with these materials. Regarding numerical simulation, a correct modeling of the kinematics of laminated materials is essential to capture the real behavior of the structure. Moreover, once the kinematics of the structure has been accurately predicted other non-linear phenomena such as damage and/or plasticity process could be also studied. In consequence, in order to contribute to the constant development of simpler and more efficient numerical tools to model laminated materials, a numerical method for modeling mode II/III delamination in advanced composite materials using one- and two-dimensional finite elements is proposed in this work. In addition, two finite elements base on a zigzag theory for simulating highly heterogeneous multilayered beams and plates structures are developed here. The document is written based on results of four papers published in indexed journals. Copies of all these papers are included in Appendix. The main body of this thesis is constituted by Chapters 2 to 4. Chapter 2 deals with the numerical treatment of laminated beams and plates. Chapter 3 presents the formulation of the LRZ beam and the QLRZ plate finite elements based on the Refined Zigzag Theory. Finally, the main contribution of this thesis, the LRZ/QLRZ delamination model, is developed in Chapter 4.
Aunque los materiales laminados se han utilizado durante décadas, su uso ha aumentado en los últimos años como resultado de una mayor confianza por parte de la industria. Esto ha proporcionado a la comunidad científica muchas razones para dedicar una considerable cantidad de tiempo y esfuerzos en aras de una mejor comprensión de su comportamiento mecánico. Con este objetivo tanto la simulación experimental como numérica han estado trabajando juntos para dar respuesta a una variedad de problemas relacionados con estos materiales. En cuanto a la simulación numérica, un correcto modelado de la cinemática de los materiales laminados es esencial para capturar el comportamiento real de la estructura. Por otra parte, una vez que la cinemática de la estructura se ha predicho con precisión otros fenómenos no lineales como los proceso de daño y/o plasticidad podrían ser también estudiados. En consecuencia, con el fin de contribuir al constante desarrollo de herramientas numéricas más simples y eficaces para modelar materiales laminados, un método numérico para el modelado de la delaminación (modo II/III) en materiales compuestos avanzados utilizando elementos finitos de una y dos dimensiones es propuesto en este trabajo. Además, dos elementos finitos para la simulación de vigas y placas de varias capas altamente heterogéneos son desarrollados aquí. El documento está escrito en base a los resultados de cuatro artículos publicados en revistas indexadas. Copias de estos artículos se incluyen en el Apéndice. El cuerpo principal de esta tesis está constituido por los Capítulos 2-4. El Capítulo 2 aborda el tratamiento numérico de vigas y placas laminadas. El capítulo 3 presenta la formulación de los elementos finitos de viga LRZ y placa QLRZ basados en la Teoría Zigzag Refinada. Finalmente, la principal contribución de esta tesis, el modelo de delaminación LRZ/QLRZ, se desarrolla en el capítulo 4.
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Wei-LianDai and 戴維廉. "Applications of the Refined Zigzag Theorem (RZT) to exact solutions of cracked-sandwich-beam and composite beam with functionally graded materials." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/xttj3e.

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碩士
國立成功大學
機械工程學系
107
In this thesis, the refined zigzag theory is used to solve the deflections and stresses of composite sandwich beam. According to the configurations of the sandwich beam, two parts are included in this study. In the first part, the cracked sandwich beam (CSB) is investigated by using the Refined Zigzag Theory (RZT). To solve the displacements, stresses, compliance and energy release reates, the continuity conditions at the crack tip and the boundary conditions are derived. By comparing the results between the theroretical predictions and finite element computations, the solutions by RZT are more accurate than those by FSDT (First-order Shear Deformation Theory). In the present study, parameters such as elastic modulus, shear modulus, layer thickness are considered to investigate their effects on the energy release rates of the CSB. In the second part, the RZT is extended to investigated the sandwich beam with functionally graded material. Various boundary conditions, loading conditions and spacial distribution models are considered to investigated their effects on the FGM sandwich beam. It reveals that the solutions by RZT agree very much with those by FEM and has low computational resources. Material properties equation in thickness direction and the effect of isotropic or orthotropic materials. In general, FGM is an isotropic material. Although FGM with orthotropic material has not developed on the market, it is expected that the numerical simulation results for FGM with orthotropic material presented of this paper will be applied to this new material in the future.
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Book chapters on the topic "Refined Zigzag Theory"

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Kefal, A., and A. Tessler. "Delamination damage identification in composite shell structures based on Inverse Finite Element Method and Refined Zigzag Theory." In Developments in the Analysis and Design of Marine Structures, 354–63. London: CRC Press, 2021. http://dx.doi.org/10.1201/9781003230373-41.

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Köpple, M., and W. Wagner. "A mixed refined zigzag theory for the modeling of layered plate structures." In Shell Structures: Theory and Applications Volume 4, 375–78. CRC Press, 2017. http://dx.doi.org/10.1201/9781315166605-85.

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Conference papers on the topic "Refined Zigzag Theory"

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Madenci, Erdogan, Mehmet Dorduncu, Atila Barut, and Nam D. Phan. "Progressive Failure Analysis of Composites Based on Peridynamics and Refined Zigzag Theory." In AIAA Scitech 2019 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2019. http://dx.doi.org/10.2514/6.2019-1039.

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Barut, Atila, Erdogan Madenci, and Alexander Tessler. "A Refined Zigzag Theory for Laminated Composite and Sandwich Plates Incorporating Thickness Stretch Deformation." In 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
20th AIAA/ASME/AHS Adaptive Structures Conference
14th AIAA. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2012. http://dx.doi.org/10.2514/6.2012-1705.

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