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Journal articles on the topic 'Refined Zigzag Theory'

Author: Grafiati

Published: 14 March 2023

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1

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 (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

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2

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 (2009): 1051–81. http://dx.doi.org/10.1177/0021998308097730.

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3

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 (2018): 529–46. http://dx.doi.org/10.1007/s10483-018-2319-8.

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4

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 (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 an

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5

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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6

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 (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 obtain

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7

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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8

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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9

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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10

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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11

Fares, M. E., and M. Kh Elmarghany. "A refined zigzag nonlinear first-order shear deformation theory of composite laminated plates." Composite Structures 82, no. 1 (2008): 71–83. http://dx.doi.org/10.1016/j.compstruct.2006.12.007.

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12

Kutlu, Akif. "Mixed finite element formulation for bending of laminated beams using the refined zigzag theory." Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 235, no. 7 (2021): 1712–22. http://dx.doi.org/10.1177/14644207211018839.

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This study presents a mixed finite element formulation for the stress analysis of laminated composite beams based on the refined zigzag theory. The Hellinger–Reissner variational principle is employed to obtain the first variation of the functional that is expressed in terms of displacements and stress resultants. Due to C0 continuity requirements of the formulation, linear shape functions are adopted to discretize the straight beam domain with two-noded finite elements. The proposed formulation is shear locking free from nature since it introduces displacement and stress resultant terms as in

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13

Iurlaro, Luigi, Alessia Ascione, Marco Gherlone, Massimiliano Mattone, and Marco Di Sciuva. "Free vibration analysis of sandwich beams using the Refined Zigzag Theory: an experimental assessment." Meccanica 50, no. 10 (2015): 2525–35. http://dx.doi.org/10.1007/s11012-015-0166-4.

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14

Dorduncu, Mehmet. "Stress analysis of laminated composite beams using refined zigzag theory and peridynamic differential operator." Composite Structures 218 (June 2019): 193–203. http://dx.doi.org/10.1016/j.compstruct.2019.03.035.

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15

Hasim, Kazim Ahmet, Adnan Kefal, and Erdogan Madenci. "Isogeometric plate element for unstiffened and blade stiffened laminates based on refined zigzag theory." Composite Structures 222 (August 2019): 110931. http://dx.doi.org/10.1016/j.compstruct.2019.110931.

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16

Hasim, K. A., and A. Kefal. "Isogeometric static analysis of laminated plates with curvilinear fibers based on Refined Zigzag Theory." Composite Structures 256 (January 2021): 113097. http://dx.doi.org/10.1016/j.compstruct.2020.113097.

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17

Dorduncu, Mehmet. "Peridynamic modeling of adhesively bonded beams with modulus graded adhesives using refined zigzag theory." International Journal of Mechanical Sciences 185 (November 2020): 105866. http://dx.doi.org/10.1016/j.ijmecsci.2020.105866.

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18

Flores, Fernando G. "Implementation of the refined zigzag theory in shell elements with large displacements and rotations." Composite Structures 118 (December 2014): 560–70. http://dx.doi.org/10.1016/j.compstruct.2014.07.034.

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19

Reid, Joel W., James A. Kaduk, and Lidia Matei. "The crystal structure of MoO2(O2)H2O." Powder Diffraction 33, no. 1 (2018): 49–54. http://dx.doi.org/10.1017/s0885715618000118.

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The crystal structure of MoO2(O2)H2O has been solved by analogy with the WO2(O2)H2O structure and refined with synchrotron powder diffraction data obtained from beamline 08B1-1 at the Canadian Light Source. Rietveld refinement, performed with the software package GSAS, yielded monoclinic lattice parameters of a = 12.0417(4) Å, b = 3.87003(14) Å, c = 7.38390(24) Å, and β = 78.0843(11)° (Z = 4, space group P21/n). The structure is composed of double zigzag molybdate chains running parallel to the b-axis. The Rietveld refined structure was compared with density functional theory (DFT) calculation

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20

Di Sciuva, M., M. Gherlone, and M. Sorrenti. "Buckling analysis of angle-ply multilayered and sandwich plates using the enhanced Refined Zigzag Theory." Proceedings of the Estonian Academy of Sciences 71, no. 1 (2022): 84. http://dx.doi.org/10.3176/proc.2022.1.08.

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21

Ascione, Alessia, Marco Gherlone, and Adrian C. Orifici. "Nonlinear static analysis of composite beams with piezoelectric actuator patches using the Refined Zigzag Theory." Composite Structures 282 (February 2022): 115018. http://dx.doi.org/10.1016/j.compstruct.2021.115018.

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22

Iurlaro, Luigi, Marco Gherlone, and Marco Di Sciuva. "Bending and free vibration analysis of functionally graded sandwich plates using the Refined Zigzag Theory." Journal of Sandwich Structures & Materials 16, no. 6 (2014): 669–99. http://dx.doi.org/10.1177/1099636214548618.

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23

Versino, Daniele, Marco Gherlone, and Marco Di Sciuva. "Four-node shell element for doubly curved multilayered composites based on the Refined Zigzag Theory." Composite Structures 118 (December 2014): 392–402. http://dx.doi.org/10.1016/j.compstruct.2014.08.018.

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24

Iurlaro, Luigi, Marco Gherlone, Marco Di Sciuva, and Alexander Tessler. "Refined Zigzag Theory for laminated composite and sandwich plates derived from Reissner’s Mixed Variational Theorem." Composite Structures 133 (December 2015): 809–17. http://dx.doi.org/10.1016/j.compstruct.2015.08.004.

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25

Versino, Daniele, Marco Gherlone, Massimiliano Mattone, Marco Di Sciuva, and Alexander Tessler. "C0 triangular elements based on the Refined Zigzag Theory for multilayer composite and sandwich plates." Composites Part B: Engineering 44, no. 1 (2013): 218–30. http://dx.doi.org/10.1016/j.compositesb.2012.05.026.

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26

Gherlone, Marco, Alexander Tessler, and Marco Di Sciuva. "C0 beam elements based on the Refined Zigzag Theory for multilayered composite and sandwich laminates." Composite Structures 93, no. 11 (2011): 2882–94. http://dx.doi.org/10.1016/j.compstruct.2011.05.015.

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27

Eijo, A., E. Oñate, and S. Oller. "A four-noded quadrilateral element for composite laminated plates/shells using the refined zigzag theory." International Journal for Numerical Methods in Engineering 95, no. 8 (2013): 631–60. http://dx.doi.org/10.1002/nme.4503.

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28

Chen, Chung-De. "A distributed parameter electromechanical model for bimorph piezoelectric energy harvesters based on the refined zigzag theory." Smart Materials and Structures 27, no. 4 (2018): 045009. http://dx.doi.org/10.1088/1361-665x/aaa725.

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29

Tessler, Alexander. "Refined zigzag theory for homogeneous, laminated composite, and sandwich beams derived from Reissner’s mixed variational principle." Meccanica 50, no. 10 (2015): 2621–48. http://dx.doi.org/10.1007/s11012-015-0222-0.

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30

Farhatnia, F., and M. Sarami. "Finite Element Approach of Bending and Buckling Analysis of FG Beams Based on Refined Zigzag Theory." Universal Journal of Mechanical Engineering 7, no. 4 (2019): 147–58. http://dx.doi.org/10.13189/ujme.2019.070402.

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31

Oñate, E., A. Eijo, and S. Oller. "Simple and accurate two-noded beam element for composite laminated beams using a refined zigzag theory." Computer Methods in Applied Mechanics and Engineering 213-216 (March 2012): 362–82. http://dx.doi.org/10.1016/j.cma.2011.11.023.

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32

Chen, Chung-De, and Po-Wen Su. "An analytical solution for vibration in a functionally graded sandwich beam by using the refined zigzag theory." Acta Mechanica 232, no. 11 (2021): 4645–68. http://dx.doi.org/10.1007/s00707-021-03063-9.

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33

Dorduncu, Mehmet. "Stress analysis of sandwich plates with functionally graded cores using peridynamic differential operator and refined zigzag theory." Thin-Walled Structures 146 (January 2020): 106468. http://dx.doi.org/10.1016/j.tws.2019.106468.

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34

Iurlaro, L., M. Gherlone, and M. Di Sciuva. "The (3,2)-Mixed Refined Zigzag Theory for generally laminated beams: Theoretical development and C0 finite element formulation." International Journal of Solids and Structures 73-74 (November 2015): 1–19. http://dx.doi.org/10.1016/j.ijsolstr.2015.07.028.

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35

Sorrenti, M., M. Di Sciuva, and A. Tessler. "A robust four-node quadrilateral element for laminated composite and sandwich plates based on Refined Zigzag Theory." Computers & Structures 242 (January 2021): 106369. http://dx.doi.org/10.1016/j.compstruc.2020.106369.

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36

Di Sciuva, Marco, Marco Gherlone, Luigi Iurlaro, and Alexander Tessler. "A class of higher-order C0 composite and sandwich beam elements based on the Refined Zigzag Theory." Composite Structures 132 (November 2015): 784–803. http://dx.doi.org/10.1016/j.compstruct.2015.06.071.

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37

Barut, A., E. Madenci, and A. Tessler. "C0-continuous triangular plate element for laminated composite and sandwich plates using the {2,2} – Refined Zigzag Theory." Composite Structures 106 (December 2013): 835–53. http://dx.doi.org/10.1016/j.compstruct.2013.07.024.

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38

Reid, Joel W., James A. Kaduk, and Lidia Matei. "The crystal structure of MoO2(O2)(H2O)·H2O." Powder Diffraction 34, no. 1 (2019): 44–49. http://dx.doi.org/10.1017/s0885715619000095.

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The crystal structure of MoO2(O2)(H2O)·H2O has been solved using parallel tempering with the FOX software package and refined using synchrotron powder diffraction data obtained from beamline 08B1-1 at the Canadian Light Source. Rietveld refinement, performed with the software package GSAS, yielded monoclinic lattice parameters of a = 17.3355(5) Å, b = 3.83342(10) Å, c = 6.55760(18) Å, and β = 91.2114(27)° (Z = 4, space group I2/m). The structure is composed of double zigzag molybdate chains running parallel to the b-axis. The Rietveld refined structure was compared with density functional theo

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39

Ascione, Alessia, Adrian C. Orifici, and Marco Gherlone. "Experimental and Numerical Investigation of the Refined Zigzag Theory for Accurate Buckling Analysis of Highly Heterogeneous Sandwich Beams." International Journal of Structural Stability and Dynamics 20, no. 07 (2020): 2050078. http://dx.doi.org/10.1142/s0219455420500789.

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The Refined Zigzag Theory (RZT) is a structural theory developed for the analysis of composite multilayer and sandwich beams. However, the accuracy of RZT for buckling analysis of sandwich beams has not been experimentally investigated, and for RZT and Timoshenko Beam Theory (TBT) the effect of the degree of heterogeneity on their accuracy requires further study. The aim of this work was to validate the use of the RZT for predicting the critical buckling loads of sandwich beams, even with highly heterogeneous material properties, and to assess the use of the TBT for the same application. Buckl

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40

Honda, Shinya, Takahito Kumagai, Kazuya Tomihashi, and Yoshihiro Narita. "Frequency maximization of laminated sandwich plates under general boundary conditions using layerwise optimization method with refined zigzag theory." Journal of Sound and Vibration 332, no. 24 (2013): 6451–62. http://dx.doi.org/10.1016/j.jsv.2013.07.010.

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41

Eijo, A., E. Oñate, and S. Oller. "Delamination in laminated plates using the 4-noded quadrilateral QLRZ plate element based on the refined zigzag theory." Composite Structures 108 (February 2014): 456–71. http://dx.doi.org/10.1016/j.compstruct.2013.09.052.

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42

Dorduncu, Mehmet, and M. Kemal Apalak. "Elastic flexural analysis of adhesively bonded similar and dissimilar beams using refined zigzag theory and peridynamic differential operator." International Journal of Adhesion and Adhesives 101 (September 2020): 102631. http://dx.doi.org/10.1016/j.ijadhadh.2020.102631.

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43

Singh, S. K., and A. Chakrabarti. "Static, Vibration and Buckling Analysis of Skew Composite and Sandwich Plates Under Thermo Mechanical Loading." International Journal of Applied Mechanics and Engineering 18, no. 3 (2013): 887–98. http://dx.doi.org/10.2478/ijame-2013-0053.

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Abstract Static, vibration and buckling behavior of laminated composite and sandwich skew plates is studied using an efficient C0 FE model developed based on refined higher order zigzag theory. The C0 FE model satisfies the interlaminar shear stress continuity at the interfaces and zero transverse shear stress conditions at plate top and bottom. In this model, the first derivatives of transverse displacement have been treated as independent variables to overcome the problem of C1 continuity associated with the plate theory. The C0 continuity of the present element is compensated in the stiffne

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44

Di Sciuva, M., and M. Sorrenti. "Bending, free vibration and buckling of functionally graded carbon nanotube-reinforced sandwich plates, using the extended Refined Zigzag Theory." Composite Structures 227 (November 2019): 111324. http://dx.doi.org/10.1016/j.compstruct.2019.111324.

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45

Ghorbanpour Arani, A., M. Mosayyebi, F. Kolahdouzan, R. Kolahchi, and M. Jamali. "Refined zigzag theory for vibration analysis of viscoelastic functionally graded carbon nanotube reinforced composite microplates integrated with piezoelectric layers." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 231, no. 13 (2016): 2464–78. http://dx.doi.org/10.1177/0954410016667150.

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Damped free vibration of carbon nanotube reinforced composite microplate bounded with piezoelectric sensor and actuator layers are investigated in this study. For the mathematical modeling of sandwich structure, the refined zigzag theory is applied. In addition, to present a realistic model, the material properties of system are supposed as viscoelastic based on Kelvin–Voigt model. Distributions of single-walled carbon nanotubes along the thickness direction of the viscoelastic carbon nanotube reinforced composite microplate are considered as four types of functionally graded distribution patt

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46

Dey, S., T. Mukhopadhyay, S. Naskar, TK Dey, HD Chalak, and S. Adhikari. "Probabilistic characterisation for dynamics and stability of laminated soft core sandwich plates." Journal of Sandwich Structures & Materials 21, no. 1 (2017): 366–97. http://dx.doi.org/10.1177/1099636217694229.

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This paper presents a generic multivariate adaptive regression splines-based approach for dynamics and stability analysis of sandwich plates with random system parameters. The propagation of uncertainty in such structures has significant computational challenges due to inherent structural complexity and high dimensional space of input parameters. The theoretical formulation is developed based on a refined C0 stochastic finite element model and higher-order zigzag theory in conjunction with multivariate adaptive regression splines. A cubical function is considered for the in-plane parameters as

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47

Sorrenti, M., M. Di Sciuva, J. Majak, and F. Auriemma. "Static Response and Buckling Loads of Multilayered Composite Beams Using the Refined Zigzag Theory and Higher-Order Haar Wavelet Method." Mechanics of Composite Materials 57, no. 1 (2021): 1–18. http://dx.doi.org/10.1007/s11029-021-09929-2.

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48

Kutlu, Akif, Mehmet Dorduncu, and Timon Rabczuk. "A novel mixed finite element formulation based on the refined zigzag theory for the stress analysis of laminated composite plates." Composite Structures 267 (July 2021): 113886. http://dx.doi.org/10.1016/j.compstruct.2021.113886.

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49

Dorduncu, Mehmet, Akif Kutlu, and Erdogan Madenci. "Triangular C0 continuous finite elements based on refined zigzag theory {2,2} for free and forced vibration analyses of laminated plates." Composite Structures 281 (February 2022): 115058. http://dx.doi.org/10.1016/j.compstruct.2021.115058.

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50

Chen, Chung-De, and Wei-Lian Dai. "The analysis of mode II strain energy release rate in a cracked sandwich beam based on the refined zigzag theory." Theoretical and Applied Fracture Mechanics 107 (June 2020): 102504. http://dx.doi.org/10.1016/j.tafmec.2020.102504.

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