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TECHNICAL PAPERS

Efficient Meshfree Formulation for Metal Forming Simulations

[+] Author and Article Information
Sangpil Yoon, Cheng-Tang Wu, Hui-Ping Wang, Jiun-Shyan Chen

Department of Mechanical Engineering & Center for Computer-Aided Design, The University of Iowa, 2233 SC, Iowa City, IA 52242-1527

J. Eng. Mater. Technol 123(4), 462-467 (Jul 24, 2000) (6 pages) doi:10.1115/1.1396349 History: Received July 24, 2000
Copyright © 2001 by ASME
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References

Chen,  J. S., Pan,  C., Wu,  C. T., and Liu,  W. K., 1996, “Reproducing Kernel Particle Methods for Large Deformation Analysis of Nonlinear Structures,” Comput. Methods Appl. Mech. Eng., 139, pp. 195–227.
Chen,  J. S., Pan,  C., Roque,  C., and Wang,  H. P., 1998, “A Lagrangian Reproducing Kernel Particle Method for Metal Forming Analysis,” Computational Mechanics, 22, pp. 289–307.
Chen,  J. S., and Wang,  H. P., 2000, “New Boundary Condition Treatments for Meshless Computation of Contact Problems,” Comput. Methods Appl. Mech. Eng., 187, pp. 441–468.
Belytschko,  T., Lu,  Y. Y., and Gu,  L., 1994, “Element-Free Galerkin Methods,” Int. J. Numer. Methods Eng., 37, pp. 229–256.
Liu,  W. K., Jun,  S., and Zhang,  Y. F., 1995, “Reproducing Kernel Particle Methods,” Int. J. Numer. Methods Fluids, 20, pp. 1081–1106.
Duarte,  C. A. M., and Oden,  J. T., 1996, “A h-p Adaptive Method Using Clouds,” Comput. Methods Appl. Mech. Eng., 139, pp. 237–262.
Dolbow,  J., and Belytschko,  T., 1999, “Numerical Integration of Galerkin weak Form in Meshfree Methods,” Computational Mechanics, 23, pp. 219–230.
Chen,  J. S., Wu,  C. T., Yoon,  S., and You,  Y., 2001, “Stabilized Conforming Nodal Integration for Galerkin Meshfree Methods, submitted,” Int. J. Numer. Methods Eng., 50, pp. 435–466.
Chen, J. S., and Wang, H. P., 2000, “Meshfree Smooth Surface Contact Algorithm for Sheet Metal Forming,” SAE 2000, March 6–9, Detroit.
Choudhry,  S., and Lee,  J. K., 1994, “Dynamic Plane-Strain Element Simulation of Industrial Sheet-Metal Forming Processes,” Int. J. Mech. Sci., 36, pp. 189–207.
Song, N., Qian, D., Cao, J., Cao, W. K., and Li, S., 2001, “Effective Models for Prediction of Springback in Flanging,” accepted, ASME J. Eng. Mater. Technol.

Figures

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Voronoi diagram in two-dimensions
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Cylindrical punch geometry
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Progressive deformation of a cylindrical punch
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Comparison with membrane solution
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Problem description and geometry parameters
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Comparison of meshfree solution with experimental measurement of springback angles
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Deformation and springback of the flanging operation simulated by meshfree method
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Effect of gap dimension on the springback

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