A stabilized conforming (SC) nodal integration method is developed for elastoplastic contact analysis of metal forming processes. In this approach, strain smoothing stabilization is introduced to eliminate spatial instability in collocation meshfree methods. The gradient matrix associated with strain smoothing satisfies the integration constraint (IC) of linear exactness in the Galerkin approximation. Strain smoothing formulation and numerical procedures for history-dependent problems are introduced. Applications to metal forming analysis are presented, with the results demonstrating a significant improvement in computational efficiency without loss of accuracy.
Issue Section:
Technical Papers
1.
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
.2.
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
.3.
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
.4.
Belytschko
, T.
, Lu
, Y. Y.
, and Gu
, L.
, 1994
, “Element-Free Galerkin Methods
,” Int. J. Numer. Methods Eng.
, 37
, pp. 229
–256
.5.
Liu
, W. K.
, Jun
, S.
, and Zhang
, Y. F.
, 1995
, “Reproducing Kernel Particle Methods
,” Int. J. Numer. Methods Fluids
, 20
, pp. 1081
–1106
.6.
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
.7.
Dolbow
, J.
, and Belytschko
, T.
, 1999
, “Numerical Integration of Galerkin weak Form in Meshfree Methods
,” Computational Mechanics
, 23
, pp. 219
–230
.8.
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
.9.
Chen, J. S., and Wang, H. P., 2000, “Meshfree Smooth Surface Contact Algorithm for Sheet Metal Forming,” SAE 2000, March 6–9, Detroit.
10.
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
.11.
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.
Copyright © 2001
by ASME
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