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Journal articles on the topic 'Hexahedral'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Bai, Xin Li, Bing Ma, and Jiang Yan Li. "A Practical Technique for Generating Hexahedral Meshes." Applied Mechanics and Materials 238 (November 2012): 214–17. http://dx.doi.org/10.4028/www.scientific.net/amm.238.214.

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A practical technique for generating hexahedral meshes automatically is proposed in this paper. The technique is accomplished by secondary subdivision of a tetrahedron. The implementation method from tetrahedron to hexahedron through secondary subdivision is discussed. The method and treatment of boundary condition formula are derived, and the simple and practical load processing method is given. Finally a tetrahedron-based hexahedron automatic meshing program is developed. Engineering examples shows that the calculation accuracy of the method is comparatively high. The proposed method can be applied to any entity.

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2

Staten, Matthew L., Jason F. Shepherd, Franck Ledoux, and Kenji Shimada. "Hexahedral Mesh Matching: Converting non-conforming hexahedral-to-hexahedral interfaces into conforming interfaces." International Journal for Numerical Methods in Engineering 82, no. 12 (December 3, 2009): 1475–509. http://dx.doi.org/10.1002/nme.2800.

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3

Gheni, Mamtimin, X. F. Wang, and Masanori Kikuchi. "Study on Self-Consistent Mesh Generating Method of Hexahedron Element Based on the Local Waveform Method with Damping." Key Engineering Materials 306-308 (March 2006): 607–12. http://dx.doi.org/10.4028/www.scientific.net/kem.306-308.607.

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Three-dimensional finite element method (FEM) is widely used as an effective numerical simulation technique to solve the complex engineering problem. In the FEM simulation technique at first it needs to discrete the problem. However, the almost all of the engineering problem have very complicated structure and shape, so that the mesh generation also have much difficulty. Furthermore, the correct generation of mesh is one of the most significant issues that directly affect to the accuracy of the FEM simulation. Though in extensive commercial software have an excellent automatic mesh generating system, however the problem of hexahedral automatic mesh generation and its adaptation are not enough to solve for practical applications, because for the mesh generation of complex shape is very difficult and still intensive labor work by hand. In this paper we present a new method to generate an appropriate mesh using existing regular hexahedral mesh and hexahedron mesh generation technique. This technique based on the wave transmits theory with damp named Waveform Mesh Generating (WMG) method. The results shown that the complex shaped FEM discrete hexahedral mesh model generated when shape of the side apply to regular mesh side as a waveform constraint.

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4

Wang, Xu Fei, Mamtimin Gheni, Masanori Kikuchi, and Ju Rong Liu. "Study on Complex Structure Mesh Generating of Hexahedron Element Based on Improved Waveform Mesh Generating Method." Key Engineering Materials 462-463 (January 2011): 955–60. http://dx.doi.org/10.4028/www.scientific.net/kem.462-463.955.

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Three-dimensional finite element method (FEM) is widely used as an effective numerical simulation technique to solve the complex engineering problem. Usually, the more complex engineering problem has more complex structure and shape; the FEM simulation technique is that needs to discrete the structure and shape of the problem by mesh. In addition, the correct generation of mesh is one of the most significant issues that directly affect to the accuracy of the FEM simulation. The hexahedral mesh is better than tetrahedral mesh in solving the complex engineering problem. The common methods of hexahedral automatic mesh generation have been used in some commercial soft already, but its adaptation is not enough to solve for practical applications of the complex engineering problems. A new method of mesh generation technique was proposed by improved waveform mesh generating method, and realized by C++ developing program in Linux OS. The method could generate some effective and smoothly mesh models by quadrilateral element or hexahedron element, and not only generated revolution curve surface meshes, but also generated random meshes according to free functions too. The results shown that the hexahedral mesh models of the complex shapes were generated as the shape function apply to regular mesh side as a waveform constraint.

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5

Islam, Md Shahidul, and Gazi Md Khalil. "MODIFICATION OF SURFACE MESH FOR THE GENERATION OF KNIFE ELEMENT FREE HEXAHEDRAL MESH." Journal of Mechanical Engineering 41, no. 2 (April 16, 2011): 103–13. http://dx.doi.org/10.3329/jme.v41i2.7505.

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Hexahedral elements provide greater accuracy and efficiency over tetrahedral elements for finite element analysis of solids and for this reason the all-hexahedral element auto meshing has a growing demand. The whisker-weaving based plastering algorithm developed by the authors can generate hexahedral mesh (HM) automatically. In this method the prerequisite for generating HM is quadrilateral surface mesh (SM). From the given SM, combinatorial dual cycles or whisker sheet loops for whisker weaving algorithm are generated to produce HM. Generation of good quality HM does not depend only on the quality of quadrilaterals of the SM but also on the quality of the dual cycles generated from it. If the dual cycles have self-intersection, it could cause the formation of degenerated hexahedron called knife element, which is not usable in finite element analysis. In this paper a detailed method is proposed to modify the SM to remove self-intersections from its dual loops. The SM modification procedure of this proposed method has three basic steps. These steps are (a) face collapsing, (b) new face generation and (c) template application. A fully automatic computer program is developed on the basis of this proposed method and a number of models are analyzed to show the effectiveness of the proposal.DOI: http://dx.doi.org/10.3329/jme.v41i2.7505

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6

Sokolov, Dmitry, Nicolas Ray, Lionel Untereiner, and Bruno Lévy. "Hexahedral-Dominant Meshing." ACM Transactions on Graphics 35, no. 5 (September 22, 2016): 1–23. http://dx.doi.org/10.1145/2930662.

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7

Sokolov, Dmitry, Nicolas Ray, Lionel Untereiner, and Bruno Lévy. "Hexahedral-Dominant Meshing." ACM Transactions on Graphics 36, no. 4 (July 20, 2017): 1. http://dx.doi.org/10.1145/3072959.2930662.

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8

Sokolov, Dmitry, Nicolas Ray, Lionel Untereiner, and Bruno Lévy. "Hexahedral-dominant meshing." ACM Transactions on Graphics 36, no. 4 (July 20, 2017): 1. http://dx.doi.org/10.1145/3072959.3126827.

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9

EGOROVA, Olga, Maria SAVCHENKO, Vladimir SAVCHENKO, and Ichiro HAGIWARA. "Topology and Geometry of Hexahedral Complex: Combined Approach for Hexahedral Meshing." Journal of Computational Science and Technology 3, no. 1 (2009): 171–82. http://dx.doi.org/10.1299/jcst.3.171.

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10

Bremberg, Daniel, and Guido Dhondt. "Automatic Mixed-Mode Crack Propagation based on a Combined Hexahedral-Tetrahedral Approach." Key Engineering Materials 348-349 (September 2007): 581–84. http://dx.doi.org/10.4028/www.scientific.net/kem.348-349.581.

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In the present paper, a new method for inserting cracks with out-of-plane features is presented. Starting point is an arbitrary reference structure and a crack of any shape. The final cracked structure is represented by hexahedral elements in the crack-front region and tetrahedral elements in the remaining structure domain. The tetrahedron is employed to take advantage of the versatile meshing capabilities and the collapsed quarter-point hexahedron gives good crack-tip behaviour. Stress intensity factors are calculated from the asymptotic stress field, retrieved from the integration points near the crack-tip.

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11

Liu, Linlan, Haili Zhang, Xiaotian Geng, and Xin Shu. "Hexahedral Localization (HL): A Three-Dimensional Hexahedron Localization Based on Mobile Beacons." Scientific World Journal 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/965138.

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In wireless sensor networks, localization is one of the fundamental technologies and is essential to its applications. In this paper, we propose a three-dimensional range-free localization scheme named hexahedral localization. In the scheme, the space is divided into a lot of hexahedrons. Then, all the unknown nodes are located by utilizing the perpendicular properties of the trajectory. The contribution of our scheme can be summarized into two points. First, it fills the gap of shortage of three-dimensional localization based on mobile beacons. Second, it brings in the outstanding localization accuracy. The simulation result reveals that this localization scheme has the relative high accuracy. At the end of the paper, the performance and error of our scheme are analyzed in aim of improving in the future work.

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12

Isenburg, Martin, and Pierre Alliez. "Compressing hexahedral volume meshes." Graphical Models 65, no. 4 (July 2003): 239–57. http://dx.doi.org/10.1016/s1524-0703(03)00044-4.

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13

Ushakova, O. V. "Classification of hexahedral cells." Computational Mathematics and Mathematical Physics 48, no. 8 (August 2008): 1327–48. http://dx.doi.org/10.1134/s096554250808006x.

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14

SAVCHENKO, Maria, Olga EGOROVA, Ichiro HAGIWARA, and Vladimir SAVCHENKO. "Hexahedral Mesh Improvement Algorithm." JSME International Journal Series C 48, no. 2 (2005): 130–36. http://dx.doi.org/10.1299/jsmec.48.130.

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15

Shepherd, Jason F., and Chris R. Johnson. "Hexahedral mesh generation constraints." Engineering with Computers 24, no. 3 (March 13, 2008): 195–213. http://dx.doi.org/10.1007/s00366-008-0091-4.

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16

Maeda, Toshihiro, So Noguchi, Hideo Yamashita, and Vlatko Cingoski. "An automatic hexahedral mesh generation method for hexahedral elements towards rotating machine." Journal of Materials Processing Technology 161, no. 1-2 (April 2005): 101–6. http://dx.doi.org/10.1016/j.jmatprotec.2004.07.011.

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17

Li, Hong-Guang, Song Cen, and Zhang-Zhi Cen. "Hexahedral volume coordinate method (HVCM) and improvements on 3D Wilson hexahedral element." Computer Methods in Applied Mechanics and Engineering 197, no. 51-52 (October 2008): 4531–48. http://dx.doi.org/10.1016/j.cma.2008.05.022.

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18

Wada, Yoshitaka, Jun'ichi Shinbori, and Masanori Kikuchi. "Adaptive FEM Analysis Technique Using Multigrid Method for Unstructured Hexahedral Meshes." Key Engineering Materials 306-308 (March 2006): 565–70. http://dx.doi.org/10.4028/www.scientific.net/kem.306-308.565.

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MG (multigrid) method is one of the most promising solvers for large scale problems. Hexahedral mesh generation and its adaptation are not enough to use for practical applications, because its mesh generation is very difficult and still labor intensive work by hand. We have developed hexahedral local refinement technique controlled by posterior error estimation. We have proposed a MG technique for unstructured hexahedral meshes with local mesh refinement. In this paper, the proposed technique is evaluated to check its performance and severe analyses of bending cantilevers. Performance of MG for unstructured hexahedral meshes is compared with that of the PCG (preconditioned conjugate gradient) through several benchmark examples of 3-D static elastic analysis. Proposed MG is faster than PCG for all problems as number of freedoms increases. Finally limitation of the proposed technique is presented.

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19

Motooka, Y., So Noguchi, and H. Igarashi. "Evaluation of Hexahedral Mesh Quality for Finite Element Method in Electromagnetics." Materials Science Forum 670 (December 2010): 318–24. http://dx.doi.org/10.4028/www.scientific.net/msf.670.318.

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We have previously proposed an automatic hexahedral mesh generator. It is necessary to understand about the quality and characteristic of the generated mesh to perform hexahedral edge finite element analysis in electromagnetic. Therefore, we have compared high-quality meshes with poor-quality meshes, and investigated about the factors that affect the accuracy and the computation time. In addition, we investigated about the effect of the templates used in the proposed method. We will conclusively apply the result to improving the automatic hexahedral mesh generator.

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20

LI, CONG, DAN WANG, JIAYUN LI, YONGPING DUAN, MEILI LI, YUAN YAN, and MINHUA SUN. "A MOLECULAR DYNAMICS SIMULATION STUDY OF THE POLYHEDRAL STRUCTURE OF LIQUID ARGON DURING GLASS TRANSITION." Modern Physics Letters B 23, no. 08 (March 30, 2009): 1069–75. http://dx.doi.org/10.1142/s0217984909019302.

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Polyhedron structures changes in Lennard–Jones (LJ) liquid argon containing 108 atoms are investigated by means of molecular dynamics (MD) simulations during the glass transition. The local bond orientational parameter and the bond angle distribution are calculated. In particular, a new parameter is introduced to simultaneously quantify the changes of all the major polyhedral structures: tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron. The results show that icosahedral order, hexahedral order and octahedral order increase with decreasing temperature, while tetrahedral order and dodecahedral order decrease. This indicates that the glass transition is a solidification process with complex microstructure changes.

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21

Wei, Lu Shuang, Hua Jiang, Yu Biao Wang, and Qun Wei. "A Study of the Graph Topology of the Complicated Rock Mass’ Hexahedral Grid Dissection." Applied Mechanics and Materials 170-173 (May 2012): 136–43. http://dx.doi.org/10.4028/www.scientific.net/amm.170-173.136.

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It was a common method to simulate the complicated rock mass’ exterior profile, interior structure and corresponding project structure through the graphic platform of 3D digital modeling in modern geotechnical engineering. Based on such a modeling, this paper introduced a graphic method of hexahedral grid dissection in numerical calculation, which regarded the rock mass modeling cut by faults, cracks and buildings as a compound entity of hexahedral entities, and on every adjacent interface of any two hexahedral entities there would be the same number of grids of the same size and they were of the same topological relations. With overrun mapping method to traverse calculate all the single grids of all hexahedral prisms, a grid calculating system of the complicated rock mass would be formed. After applying such a method to several major projects, we are very satisfied to find that with such a method the rock mass is divided reasonably and the calculation accuracy meets the requirements.

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22

Maréchal, Loïc. "All Hexahedral Boundary Layers Generation." Procedia Engineering 163 (2016): 5–19. http://dx.doi.org/10.1016/j.proeng.2016.11.007.

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23

Barrera Sánchez, P., J. J. Cortés, and G. González Flores. "Harmonic hexahedral structured grid generation." Mathematical and Computer Modelling 57, no. 9-10 (May 2013): 2289–301. http://dx.doi.org/10.1016/j.mcm.2011.08.011.

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24

Hacon, Derek, and Carlos Tomei. "Tetrahedral Decompositions of Hexahedral Meshes." European Journal of Combinatorics 10, no. 5 (September 1989): 435–43. http://dx.doi.org/10.1016/s0195-6698(89)80017-4.

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25

Lo, S. H. "Automatic merging of hexahedral meshes." Finite Elements in Analysis and Design 55 (August 2012): 7–22. http://dx.doi.org/10.1016/j.finel.2012.02.003.

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26

Eppstein, David. "Linear complexity hexahedral mesh generation." Computational Geometry 12, no. 1-2 (February 1999): 3–16. http://dx.doi.org/10.1016/s0925-7721(98)00032-7.

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27

Fredriksson, Magnus, and Niels Saabye Ottosen. "Accurate eight-node hexahedral element." International Journal for Numerical Methods in Engineering 72, no. 6 (2007): 631–57. http://dx.doi.org/10.1002/nme.2026.

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28

Li, Chentao, Sheng Qiang, and Xia Hua. "Advances in Automatic Hexahedral Meshing." Journal of Physics: Conference Series 1637 (September 2020): 012141. http://dx.doi.org/10.1088/1742-6596/1637/1/012141.

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29

Knupp, P. M. "Hexahedral and Tetrahedral Mesh Untangling." Engineering with Computers 17, no. 3 (October 1, 2001): 261–68. http://dx.doi.org/10.1007/s003660170006.

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30

Courbet, Clement, and Martin Isenburg. "Streaming compression of hexahedral meshes." Visual Computer 26, no. 6-8 (April 14, 2010): 1113–22. http://dx.doi.org/10.1007/s00371-010-0481-7.

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31

Ushakova, Olga V. "Criteria for hexahedral cell classification." Applied Numerical Mathematics 127 (May 2018): 18–39. http://dx.doi.org/10.1016/j.apnum.2017.12.012.

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32

Li, Chong-Jun, Juan Chen, and Wan-Ji Chen. "A 3D hexahedral spline element." Computers & Structures 89, no. 23-24 (December 2011): 2303–8. http://dx.doi.org/10.1016/j.compstruc.2011.08.005.

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33

Ushakova, Olga V. "Nondegeneracy tests for hexahedral cells." Computer Methods in Applied Mechanics and Engineering 200, no. 17-20 (April 2011): 1649–58. http://dx.doi.org/10.1016/j.cma.2011.01.014.

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34

SCHNEIDERS, ROBERT. "OCTREE-BASED HEXAHEDRAL MESH GENERATION." International Journal of Computational Geometry & Applications 10, no. 04 (August 2000): 383–98. http://dx.doi.org/10.1142/s021819590000022x.

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An octree-based algorithm for the generation of hexahedral element meshes is presented. The algorithm works in three steps: (i) The geometry to be meshed is approximated by an octree structure. (ii) An unstructured hexahedral element mesh is derived from the octree. (iii) The mesh is adapted to the boundary of the geometry. We focus on step (ii) and describe an algorithm that constructs a hex mesh for a given octree structure.

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35

YALCIN, ENGIN, ASIM EGEMEN YILMAZ, and MUSTAFA KUZUOGLU. "PERFORMANCE COMPARISON OF VARIOUS HEXAHEDRAL ELEMENT QUALITY METRICS VIA PARAMETRIC DISTORTION OF AN IDEAL ELEMENT." International Journal of Computational Methods 10, no. 04 (April 23, 2013): 1350017. http://dx.doi.org/10.1142/s0219876213500175.

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In this study, by means of parametric distortion of an ideal hexahedral element, we investigate the accuracy and sensitivity of some hexahedral element quality metrics existing in the literature. We also investigate and compare the relative computational costs of each metrics. We try to identify the weaknesses and strengths of all metrics under interrogation, and come up with some proposals for practical use.

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36

Liu, S. S., and R. Gadh. "Basic LOgical Bulk Shapes (BLOBs) for Finite Element Hexahedral Mesh Generation to Support Virtual Prototyping." Journal of Manufacturing Science and Engineering 120, no. 4 (November 1, 1998): 728–35. http://dx.doi.org/10.1115/1.2830213.

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Manufacturability analysis of product design reduces the downstream problems of manufacturing. Such design approaches are referred to as Virtual Prototyping when performed on the computer. In the present research, Virtual Prototyping is facilitated by the use of an automated method of determining the finite element meshes needed to perform finite element analyses. Finite element analysis requires a finite element mesh of the product model as input. This mesh (an approximation of an object’s geometry and topology, composed in terms of a given individual unit, e.g., a tetrahedron, or a hexahedron), can be generated using a variety of methods. The research presented here offers an approach for automatic mesh generation that addresses some of the limitations in the mesh-generation technologies currently available. This article presents an approach for automatically generating hexahedral meshes from solid models. The mesh generating method presented in this paper involves four major steps. First, objects called Basic LOgical Bulk shapes (BLOBs) are determined from the solid model of a given part. Second, these BLOBs are used to decompose the solid model into its various sub-volumes. Third, a multiple-block structure (MBS), which is a group of hexahedral objects, is constructed to approximate the solid model. Finally, transfinite mapping is employed to project the faces of the MBS onto the surfaces of a model to generate the finite element meshes.

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37

Islam, Md Shahidul. "Improving the quality of hexahedral mesh generated by automatic mesh generators." Journal of Naval Architecture and Marine Engineering 8, no. 2 (December 30, 2011): 121–28. http://dx.doi.org/10.3329/jname.v8i2.5646.

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Automatic hexahedral mesh generation is a very deserving solution for better performance of finite element analysis of complex large structures. At present plastering, whisker weaving and whisker weaving based plastering algorithm are available to perform such tasks. As these hexahedral mesh generation processes are fully automatic, it is possible to form some elements, which don’t have high enough qualities for finite element analysis. For this reason, a reliable post-processing method is presented in this paper which can modify the shapes of the already generated hexahedrons. Four different structural models are tested and the results show that the proposed method can effectively modify the quality of the inverted hexahedrons and eliminate the invalid ones.Keywords: Doublet; triplet; quadruplet; Whisker weaving based plastering algorithm; hexahedral meshDOI: http://dx.doi.org/10.3329/jname.v8i2.5646Journal of Naval Architecture and Marine Engineering 8(2011) 121-128

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38

Kawaharada, Hiroshi, Yusuke Imai, and Hiroyuki Hiraoka. "Quadrilateral Meshing for Hexahedral Mesh Generation Based on Facet Normal Matching." International Journal of Automation Technology 8, no. 3 (May 5, 2014): 356–64. http://dx.doi.org/10.20965/ijat.2014.p0356.

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Because performance testing using actual products is costly, manufacturers use lower-cost Computer-Aided Design (CAD) simulations. In this paper, we focus on hexahedral meshes, which are more accurate than tetrahedral meshes, for finite element analysis. Our final objective is automatic hexahedral mesh generation with sharp features to precisely represent the corresponding features of a target shape. Our hexahedral mesh is generated using a voxel-based algorithm. In our previous works, we fitted the surface of the voxels to the target surface using Laplacian energy minimization and used normal vectors in the fitting to preserve sharp features. However, we were unable to precisely represent sharp concave features using the method. In this proposal, we improve the previously used Laplacian energy minimization by adding a term that depends on facet normalmatching for multi-normal vectors, instead of using normal vector matching.

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39

Imai, Yusuke, Hiroyuki Hiraoka, and Hiroshi Kawaharada. "Quadrilateral mesh fitting that preserves sharp features based on multi-normals for Laplacian energy." Journal of Computational Design and Engineering 1, no. 2 (April 1, 2014): 88–95. http://dx.doi.org/10.7315/jcde.2014.009.

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Abstract Because the cost of performance testing using actual products is expensive, manufacturers use lower-cost computer-aided design simulations for this function. In this paper, we propose using hexahedral meshes, which are more accurate than tetrahedral meshes, for finite element analysis. We propose automatic hexahedral mesh generation with sharp features to precisely represent the corresponding features of a target shape. Our hexahedral mesh is generated using a voxel-based algorithm. In our previous works, we fit the surface of the voxels to the target surface using Laplacian energy minimization. We used normal vectors in the fitting to preserve sharp features. However, this method could not represent concave sharp features precisely. In this proposal, we improve our previous Laplacian energy minimization by adding a term that depends on multi-normal vectors instead of using normal vectors. Furthermore, we accentuate a convex/concave surface subset to represent concave sharp features.

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40

Shen, Chun, Rui Wang, Shuming Gao, and Hiroki Maehama. "Feature moving operation of hexahedral mesh." Procedia Engineering 203 (2017): 65–77. http://dx.doi.org/10.1016/j.proeng.2017.09.789.

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41

Müller-Hannemann, Matthias. "Shelling Hexahedral Complexes for Mesh Generation." Journal of Graph Algorithms and Applications 5, no. 5 (2001): 59–91. http://dx.doi.org/10.7155/jgaa.00040.

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42

Shi, Liange, and Fanglin Du. "Solvothermal synthesis of SrCO3 hexahedral ellipsoids." Materials Letters 61, no. 14-15 (June 2007): 3262–64. http://dx.doi.org/10.1016/j.matlet.2006.11.050.

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43

Xu, Kaoji, Xifeng Gao, Zhigang Deng, and Guoning Chen. "Hexahedral Meshing With Varying Element Sizes." Computer Graphics Forum 36, no. 8 (April 11, 2017): 540–53. http://dx.doi.org/10.1111/cgf.13100.

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44

Gao, Xifeng, Hanxiao Shen, and Daniele Panozzo. "Feature Preserving Octree‐Based Hexahedral Meshing." Computer Graphics Forum 38, no. 5 (August 2019): 135–49. http://dx.doi.org/10.1111/cgf.13795.

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45

Wada, Yoshitaka, and Hiroshi Okuda. "Effective adaptation technique for hexahedral mesh." Concurrency and Computation: Practice and Experience 14, no. 6-7 (2002): 451–63. http://dx.doi.org/10.1002/cpe.624.

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46

Xu, Kaoji, and Guoning Chen. "Hexahedral Mesh Structure Visualization and Evaluation." IEEE Transactions on Visualization and Computer Graphics 25, no. 1 (January 2019): 1173–82. http://dx.doi.org/10.1109/tvcg.2018.2864827.

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47

Egorova, Olga, Maria Savchenko, and I. Hagiwara. "928 SPINE STRUCTURE FOR HEXAHEDRAL MESHING." Proceedings of The Computational Mechanics Conference 2008.21 (2008): 377–78. http://dx.doi.org/10.1299/jsmecmd.2008.21.377.

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48

Wang, Xiao‐Jun, and Ted Belytschko. "An efficient flexurally superconvergent hexahedral element." Engineering Computations 4, no. 4 (April 1987): 281–88. http://dx.doi.org/10.1108/eb023706.

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49

Shang, Feifei, Yangke Gan, and Yufei Guo. "Hexahedral mesh generation via constrained quadrilateralization." PLOS ONE 12, no. 5 (May 18, 2017): e0177603. http://dx.doi.org/10.1371/journal.pone.0177603.

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50

Green, Jeremy B. A., and Lance A. Davidson. "Convergent extension and the hexahedral cell." Nature Cell Biology 9, no. 9 (September 2007): 1010–15. http://dx.doi.org/10.1038/ncb438.

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