Full Text:   <3438>

CLC number: O241; TU31

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 0000-00-00

Cited: 0

Clicked: 7549

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
Open peer comments

Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.2 P.148-154

http://doi.org/10.1631/jzus.2005.A0148


A meshfree method and its applications to elasto-plastic problems


Author(s):  Ji-fa Zhang1,2, Wen-pu Zhang1,3, Yao Zheng1,2

Affiliation(s):  1. Center for Engineering and Scientific Computation, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   jifa_zhang@yahoo.com.cn

Key Words:  Meshfree methods, RKPM, Elasto-plasticity, Geotechnical engineering


Share this article to: More <<< Previous Article|

ZHANG Ji-fa, ZHANG Wen-pu, ZHENG Yao. A meshfree method and its applications to elasto-plastic problems[J]. Journal of Zhejiang University Science A, 2005, 6(2): 148-154.

@article{title="A meshfree method and its applications to elasto-plastic problems",
author="ZHANG Ji-fa, ZHANG Wen-pu, ZHENG Yao",
journal="Journal of Zhejiang University Science A",
volume="6",
number="2",
pages="148-154",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0148"
}

%0 Journal Article
%T A meshfree method and its applications to elasto-plastic problems
%A ZHANG Ji-fa
%A ZHANG Wen-pu
%A ZHENG Yao
%J Journal of Zhejiang University SCIENCE A
%V 6
%N 2
%P 148-154
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0148

TY - JOUR
T1 - A meshfree method and its applications to elasto-plastic problems
A1 - ZHANG Ji-fa
A1 - ZHANG Wen-pu
A1 - ZHENG Yao
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 2
SP - 148
EP - 154
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2005.A0148


Abstract: 
Standard finite element approaches are still ineffective in handling extreme material deformation, such as cases of large deformations and moving discontinuities due to severe mesh distortion. Among meshfree methods developed to overcome the ineffectiveness, Reproducing Kernel Particle Method (RKPM) has demonstrated its great suitability for structural analysis. This paper presents applications of RKPM in elasto-plastic problems after a review of meshfree methods and an introduction to RKPM. A slope stability problem in geotechnical engineering is analyzed as an illustrative case. The corresponding numerical simulations are carried out on an SGI Onyx3900 supercomputer. Comparison of the RKPM and the FEM under identical conditions showed that the RKPM is more suitable for problems where there exists extremely large strain such as in the case of slope sliding.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

References

[1] Belytschko, T., Flanagan, D.P., Kennedy, J.M., 1982. Finite element methods with user-controlled meshes for fluid-structure interaction. Comput Methods Appl Mech Engrg, 33:669-688. 

[2] Belytschko, T., Lu, Y.Y., Gu, L., 1994. Element-free galerkin methods. Int J Numer Methods Eng, 37:229-256. 

[3] Brackbill, J.U., 1986. A method for adaptive zoned, particle-in-cell calculation of fluid flows in two dimensions. J Comput Phys, 65:314-343. 

[4] Chen, J.S., Pan, C., Wu, C.T., Liu, W.K., 1996. Reproducing kernel particle methods for large deformation analysis of non-linear structures. Comput Methods Appl Mech Engrg, 139:195-227. 

[5] Chen, J.S., Pan, C., Wu, C.T., 1997. Large deformation analysis of rubber based on a reproducing kernel particle method. Comp Mech, 19:211-227. 

[6] Donea, J., 1983. Arbitrary Lagrangian-Eulerian Finite Element Methods. Computational Methods for Transient Analysis, Elsevier, Amsterdam,:474-515. 

[7] Drucker, D.C., Prager, W., 1952. Soil mechanics and plastic analysis or limit design. Q Appl Math, 10:157-165. 

[8] Fries, T., Matthies, H.G., 2003. Classification and Overview of Meshfree Methods. , Report of Technical University Braunschweig, :

[9] Harlow, F.H., 1964. Particle-in-cell computing method for fluid dynamics. Methods for Comput Phys, 3:319-343. 

[10] Hirt, C.W., Amsden, A.A., Cook, J.L., 1974. An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J Comput Phys, 14:227-253. 

[11] Hughes, T.J.R., Liu, W.K., Zimmermann, T.K., 1981. Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Comput Methods Appl Mech Engrg, 29:329-349. 

[12] Liu, W.K., Jun, S., Li, S., Adee, J., Belytschko, T., 1995. Reproducing kernel particle methods for structural dynamics. Int J Numer Methods Eng, 38:1655-1679. 

[13] Liu, W.K., Li, S., Belytschko, T., 1997. Moving least square reproducing kernel methods: (I) methodology and convergence. Comp Methods Appl Mech Eng, 143:113-154. 

[14] Lu, Y.Y., Belytschko, T., Gu, L., 1994. A new implementation of the element free Galerkin method. Comp Methods Appl Mech Eng, 113:397-414. 

[15] Lucy, L.B., 1977. A numerical approach to the testing of the fission hypothesis. The Astronomical Journal, 82(12):1013-1024. 

[16] Monaghan, J.J., 1982. Why particle methods work. SIAM J. Sci.−. Stat Compt, 3(4):422-433. 

[17] Nayroles, B., Touzot, G., Villon, P., 1992. Generalizing the finite element method: diffuse approximation and diffuse elements. Comp Mech, 10:307-318. 

[18] Owen, D.R.J., Hinton, E., 1980. Finite Elements in Plasticity: Theory and Practice. , Pineridge, Swansea, 215-237. :215-237. 

[19] Rudnicki, J.W., 1977. The inception of faulting in a rock mass with a weakened zone. J Geophys Res, 82:844-854. 

[20] Rudnicki, J.W., Rice, J.R., 1975. Conditions for the localization of deformation in pressure-sensitive dilatant materials. J Mech Phys Solids, 23:371-394. 

[21] Sulsky, D., Chen, Z., Schreyer, H.L., 1994. A particle method for history-dependent materials. Comput Methods Appl Mech Engrg, 118:179-196. 


Open peer comments: Debate/Discuss/Question/Opinion

<1>

Daniel@University of Florida<kjha001@fiu.edu>

2013-07-21 13:49:32

Very good

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE