Template-based quadrilateral meshing

2011 ◽  
Vol 35 (3) ◽  
pp. 471-482 ◽  
Author(s):  
J. Daniels ◽  
M. Lizier ◽  
M. Siqueira ◽  
C.T. Silva ◽  
L.G. Nonato
Keyword(s):  
Quadrilateral Meshing

scholarly journals QUADRILATERAL MESHING BY CIRCLE PACKING

2000 ◽  
Vol 10 (04) ◽  
pp. 347-360 ◽  
Author(s):  
MARSHALL BERN ◽  
DAVID EPPSTEIN
Keyword(s):  
Voronoi Diagram ◽  
Circle Packing ◽  
Polygonal Domains ◽  
Quadrilateral Meshes ◽  
Quadrilateral Meshing

We use circle-packing methods to generate quadrilateral meshes for polygonal domains, with guaranteed bounds both on the quality and the number of elements. We show that these methods can generate meshes of several types: (1) the elements form the cells of a Voronoï diagram, (2) all elements have two opposite 90° angles, (3) all elements are kites, or (4) all angles are at most 120°. In each case the total number of elements is O(n), where n is the number of input vertices.

Automatic domain partitioning for quadrilateral meshing with line constraints

2014 ◽  
Vol 31 (3) ◽  
pp. 405-421 ◽  
Author(s):  
Nicolas Kowalski ◽  
Franck Ledoux ◽  
Pascal Frey
Keyword(s):  
Domain Partitioning ◽  
Quadrilateral Meshing

Quadrilateral meshing technique optimized for higher order basis functions

2013 ◽  
Author(s):  
B. Lj. Mrdakovic ◽  
M. M. Kostic ◽  
D. P. Zoric ◽  
M. M. Stevanetic ◽  
M. S. Tasic ◽  
...  
Keyword(s):  
Higher Order ◽  
Basis Functions ◽  
Quadrilateral Meshing

Quad-Layer: Layered Quadrilateral Meshing of Narrow Two-Dimensional Domain by Bubble Packing and Chordal Axis Transformation

2001 ◽  
Author(s):  
Soji Yamakawa ◽  
Kenji Shimada
Keyword(s):  
Large Deformation ◽  
Fem Analysis ◽  
Computational Method ◽  
Two Dimensional ◽  
Quadrilateral Mesh ◽  
Line Segments ◽  
Quadrilateral Elements ◽  
Physically Based ◽  
Quadrilateral Meshing ◽  
Dimensional Domain

Abstract This paper presents a new computational method for quadrilateral meshing of a thin, or narrow, two-dimensional domain. An output mesh of our method is well-shaped and either single-layered, multi-layered, or partially multi-layered. Element sizes can be uniform or graded. A high quality, layered quadrilateral mesh is often required for finite element analyses of a narrow two-dimensional domain with a large deformation such as the analysis of rubber deformation or sheet metal forming. Our method consists of two steps: (1) extraction of the skeleton of a given domain by the discrete chordal axis transformation, and (2) discretization of the chordal axis into a set of line segments and conversion of each of the line segments to a single quadrilateral element or multiple layers of quadrilateral elements. In both steps we use a physically-based computational method called bubble packing to discretize a curve into a set of line segments of specified sizes. Experiments show that the accuracy of a large-deformation FEM analysis can be significantly improved by using a well-shaped quadrilateral mesh created by the proposed method.

Global parameterization and quadrilateral meshing of point cloud

2009 ◽  
Author(s):  
Er LI ◽  
XiaoPeng Zhang ◽  
WuJun Che ◽  
WeiMing Dong
Keyword(s):  
Point Cloud ◽  
Quadrilateral Meshing

scholarly journals Analysis automation with paving: A new quadrilateral meshing technique

1991 ◽  
Vol 13 (5-6) ◽  
pp. 332-337 ◽  
Author(s):  
T.D. Blacker ◽  
M.B. Stephenson ◽  
S. Canann
Keyword(s):  
Quadrilateral Meshing

A Quadrilateral Meshing Method for Shear-Wall Structures

2014 ◽  
Vol 638-640 ◽  
pp. 9-14
Author(s):  
Jin Duan ◽  
Xiao Ming Chen ◽  
Yun Gui Li
Keyword(s):  
Present Method ◽  
Decomposition Method ◽  
Mesh Size ◽  
Shear Wall ◽  
Building Structures ◽  
Element Analysis ◽  
Wall Structures ◽  
Geometry Decomposition ◽  
Meshing Scheme ◽  
Quadrilateral Meshing

In this paper, a meshing scheme for shear-wall structures is developed based on the paving method and associated with the mapping and geometry decomposition method. The present method would combine the advantages of free mesh, such as strong generality for complicated structures, and mapping mesh, such as outstanding efficiency for some specific geometries, and result in the following four merits: (1) theoretically suitable for arbitrary shear wall and slab; (2) the mesh is compatible, i.e., the adjacent boundary of the shear-wall and slab has identical nodes; (3) all or most of the elements are quadrilateral which is important for finite element analysis; (4) the mesh is uniform and homogeneous, and the transition between different mesh size would be automatically smoothed. Finally, some meshing examples for complicated building structures are presented to illustrate the validity of this meshing scheme.

scholarly journals FINITE ELEMENT MODELING OF STEEL PLATES UNDER MONOTONIC LOADING

2021 ◽  
Author(s):  
Bilal Nasir Shamsaldin
Keyword(s):  
Stress Distribution ◽  
Yield Strength ◽  
Steel Plate ◽  
Steel Plates ◽  
Earthquake Resistant ◽  
Earthquake Resistant Structures ◽  
Quadrilateral Meshing ◽  
Deformation Stress ◽  
Double Diamond ◽  
Precise Simulation

Steel plate fuses can be used as energy dissipating devices in earthquake-resistant structures. After an earthquake, the structure remains essentially elastic and only the deformed fuse require replacement. This report simulates the monotonic response of steel plate specimens. The effects of different inputs such as imperfection, shape and size of the fuse openings, and different meshing types on yield strength, deformation, stress distribution, and displacement are studied by using ANSYS Mechanical APDL. The study found that increasing imperfection increases displacement and decreases yield strength. It was also concluded that as the hole size in the steel plate is increased, the fuse yield strength is slightly increased to a point then is decreased. Double diamond shape showed better response in terms of displacement and stress distribution, this is because of the link shape formed by the two holes. Finer quadrilateral meshing method provide precise simulation results over longer time.

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