This paper presents a computational method for quadrilateral meshing of a thin, or narrow, two-dimensional domain for finite element analysis. The proposed method creates a well-shaped single-layered, multi-layered, or partially multi-layered quadrilateral mesh. Element sizes can be uniform or graded. A high quality, layered quadrilateral mesh is often required for finite element analysis of a narrow two-dimensional domain with a large deformation such as in the analysis of rubber deformation or sheet metal forming. Fully automated quadrilateral meshing is performed in two stages: (1) extraction of the skeleton of a given domain by 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 each step a physically-based computational method called bubble packing is applied 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.
Skip Nav Destination
Article navigation
September 2002
Technical Papers
Quad-Layer: Layered Quadrilateral Meshing of Narrow Two-Dimensional Domains by Bubble Packing and Chordal Axis Transformation
Soji Yamakawa, Graduate Research Assistant,
Soji Yamakawa, Graduate Research Assistant
Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213
Search for other works by this author on:
Kenji Shimada, Associate Professor
Kenji Shimada, Associate Professor
Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213
**
Search for other works by this author on:
Soji Yamakawa, Graduate Research Assistant
Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213
Kenji Shimada, Associate Professor
**
Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213
Contributed by the Design Automation Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received September 2001. Associate Editor: Lung-Wen Tsai.
J. Mech. Des. Sep 2002, 124(3): 564-573 (10 pages)
Published Online: August 6, 2002
Article history
Received:
September 1, 2001
Online:
August 6, 2002
Citation
Yamakawa, S., and Shimada, K. (August 6, 2002). "Quad-Layer: Layered Quadrilateral Meshing of Narrow Two-Dimensional Domains by Bubble Packing and Chordal Axis Transformation ." ASME. J. Mech. Des. September 2002; 124(3): 564–573. https://doi.org/10.1115/1.1486014
Download citation file:
Get Email Alerts
Cited By
DeepJEB: 3D Deep Learning-Based Synthetic Jet Engine Bracket Dataset
J. Mech. Des (April 2025)
Design and Justice: A Scoping Review in Engineering Design
J. Mech. Des (May 2025)
Related Articles
Efficient Adaptive Meshing of Parametric Models
J. Comput. Inf. Sci. Eng (December,2001)
Inverse Pre-deformation of Finite Element Mesh for Large Deformation Analysis
J. Comput. Inf. Sci. Eng (December,2005)
Mesh Moving Techniques for Fluid-Structure Interactions With Large Displacements
J. Appl. Mech (January,2003)
Integrated Flow Analysis During Filling and Post-Filling Stage of Semiconductor Encapsulation
J. Electron. Packag (March,2000)
Related Chapters
Optimization of an Irregular 2D Packing Problem by a Genetic-Based Heuristic Algorithm
International Conference on Computer and Automation Engineering, 4th (ICCAE 2012)
The Thermo —Mechanical Analysis of Mechanical Packing (SEAL), Using Finite Element Method (FEM) — Results and Conclusions
International Conference on Mechanical Engineering and Technology (ICMET-London 2011)
Natural Gas Transmission
Pipeline Design & Construction: A Practical Approach, Third Edition