Element‐free Galerkin method for contact problems in metal forming analysis
作者： Guangyao Li , Ted Belytschko
DOI: 10.1108/02644400110365806
关键词:
摘要: The total Lagrangian formulation and implementation of the element‐free Galerkin method (EFG) is presented for analysis contact‐impact problems with large deformations simulation metal forming processes. An integration scheme based on stress points used, so no mesh needed. A simple but general contact searching algorithm used to treat interface an force presented. Numerical results Taylor bar impact are compared finite element solutions agree well. Solutions upsetting, extrusion metals material distortions given show effectiveness algorithm. In particular, EFG shown be more capable treating motions workpiece around corners punch than methods.
emeraldinsight.com参考文章(17)
Zhi-Hua Zhong, Finite Element Procedures for Contact-Impact Problems ,(1993)
Wing Kam Liu, Yijung Chen, Wavelet and multiple scale reproducing kernel methods International Journal for Numerical Methods in Fluids. ,vol. 21, pp. 901- 931 ,(1995) , 10.1002/FLD.1650211010
T. Belytschko, Y.Y. Lu, L. Gu, Crack propagation by element-free Galerkin methods Engineering Fracture Mechanics. ,vol. 51, pp. 295- 315 ,(1995) , 10.1016/0013-7944(94)00153-9
C. T. DYKA, P. W. RANDLES, R. P. INGEL, STRESS POINTS FOR TENSION INSTABILITY IN SPH International Journal for Numerical Methods in Engineering. ,vol. 40, pp. 2325- 2341 ,(1997) , 10.1002/(SICI)1097-0207(19970715)40:13<2325::AID-NME161>3.0.CO;2-8
P.W. Randles, L.D. Libersky, Smoothed Particle Hydrodynamics: Some recent improvements and applications Computer Methods in Applied Mechanics and Engineering. ,vol. 139, pp. 375- 408 ,(1996) , 10.1016/S0045-7825(96)01090-0
Jiun-Shyan Chen, Chunhui Pan, Cheng-Tang Wu, Wing Kam Liu, None, Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures Computer Methods in Applied Mechanics and Engineering. ,vol. 139, pp. 195- 227 ,(1996) , 10.1016/S0045-7825(96)01083-3
T Belytschko, P Krysl, Y Krongauz, A three-dimensional explicit element-free galerkin method International Journal for Numerical Methods in Fluids. ,vol. 24, pp. 1253- 1270 ,(1997) , 10.1002/(SICI)1097-0363(199706)24:12<1253::AID-FLD558>3.0.CO;2-Z
T Belytschko, L Gu, Y Y Lu, Fracture and crack growth by element free Galerkin methods Modelling and Simulation in Materials Science and Engineering. ,vol. 2, pp. 519- 534 ,(1994) , 10.1088/0965-0393/2/3A/007
Ted Belytschko, Yury Krongauz, Mark Fleming, Daniel Organ, Wing Kam Snm Liu, Smoothing and accelerated computations in the element free Galerkin method Journal of Computational and Applied Mathematics. ,vol. 74, pp. 111- 126 ,(1996) , 10.1016/0377-0427(96)00020-9
Wing Kam Liu, Sukky Jun, Yi Fei Zhang, None, Reproducing kernel particle methods International Journal for Numerical Methods in Fluids. ,vol. 20, pp. 1081- 1106 ,(1995) , 10.1002/FLD.1650200824