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http://dx.doi.org/10.3795/KSME-A.2005.29.1.030

SPH Algorithm for an Elasto-Plastic Contact Analysis on a Rigid Surface with an Arbitrary Shape  

Lee Jaehoon (연세대학교 대학원 기계공학과)
Min Oakkey (연세대학교 기계공학부)
Seo Songwon (연세대학교 산업기술연구소)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.29, no.1, 2005 , pp. 30-37 More about this Journal
Abstract
There is few research about contact problem for a rigid surface with an arbitrary shape in SPH. The variational equation based on the virtual work principle is derived and its solution is obtained by the penalty method. It is proposed a new method that can determine the parameters for a penetration and a penetration rate used in the penalty method. The reproducing condition is adopted to correct the deficiency of kernel on the boundary. In order to calculate a penetration of particles, after checking boundary particles for deformable body, boundary normal vectors were determined on the rigid surface. Numerical simulations for models which have rigid surface with an arbitrary shape were conducted to validate the proposed method in 2D Cartesian and cylindrical coordinate. The results of those analysis represent that the contact algorithm proposed in this study works properly.
Keywords
Contact Algorithm; Penalty Method; Penetration; Penetration Rate; Reproducing Condition; Rigid Surface;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Min Oakkey, Lee Jeongmin, Kim Kukwon and Lee Sungsoo, 2000, A Contact Algorithm in the Low Velocity Impact Simulation with SPH, KSME International Journal, Vol. 14, No.7, pp. 705-714
2 Kim, K., 1995, Application of Smoothed Particle Hydrodynamics in the Analysis of Dynamic Elasto-plastic Deformation, A Master's thesis., Yonsei University (in Korean)
3 Liu Wing Kam, Jun Sukky, 1998, 'Multiple-Scale Reproducing Kernel Particle Methods for Large Deformation Problems,' Int. J. Numer. Meth. Eng., Vol. 41, pp. 1339-1362   DOI   ScienceOn
4 Jun Sukky, Liu Wing Kam and Belytschko Ted, 1998, 'Explicit Reproducing Kernel Particle Methods for Large Deformation Problems,' Int. J. Numer. Meth. Eng., Vol. 41, pp. 137-166   DOI   ScienceOn
5 Czekanski, A. and Meguid, SA, 2001, 'Solution of Dynamic Frictional Contact Problems Using Non-differentiable Optimization,' Inter. J. Meth. Sci., Vol. 43, pp. 1369-1386   DOI   ScienceOn
6 Seo, S.W., 2003. A Study on Elasto-Plastic Contact Algorithm in SPH using Reproducing Condition and Penalty Method, Ph.D Dissertation, Yonsei University
7 Meyers, M.A., 1994, Dynamics Behavior of Materials, John wiley & sons, Inc.
8 Randles, P.W. and Libersky, L.D., 1996, 'Smoothed Particle Hydrodynamics : Some Recent Improvements and Applications,' Comput. Methods Appl. Mech. Engrg., Vol. 139, pp. 375-408   DOI   ScienceOn
9 Moon Wonjoo, You Sukbeom and Min Oakkey, 2002, 'Analysis of Hagen-Poiseuiile Flow Using SPH,' KSME International Journal, Vo1.16, No.3, pp. 395-402   과학기술학회마을
10 Libersky, L.D., Petschek, A.G., Carney, T.C., Hipp, J.R. and Allahdadi, FA, 1993, 'High Strain Lagrangian Hydrodynamics,' J. Comput. Phys., Vol. 109, pp. 67-75   DOI   ScienceOn