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논문 상세정보

임의 형상의 강체면 탄소성 접촉 해석을 위한 SPH 알고리듬

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

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.

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참고문헌 (10)

  1. 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 
  2. 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 
  3. 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 
  4. 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 
  5. Seo, S.W., 2003. A Study on Elasto-Plastic Contact Algorithm in SPH using Reproducing Condition and Penalty Method, Ph.D Dissertation, Yonsei University 
  6. Meyers, M.A., 1994, Dynamics Behavior of Materials, John wiley & sons, Inc. 
  7. 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 
  8. 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 
  9. 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 
  10. Kim, K., 1995, Application of Smoothed Particle Hydrodynamics in the Analysis of Dynamic Elasto-plastic Deformation, A Master's thesis., Yonsei University (in Korean) 

이 논문을 인용한 문헌 (2)

  1. Lee, Kyoung Soo ; Shin, Sang Shup ; Park, Taehyo 2011. "Elasto-Plastic Dynamic Analysis of Solids by Using SPH without Tensile Instability" 大韓土木學會論文集, Journal of the Korean Society of Civil Engineers. A. 구조공학, 원자력공학, 콘크리트공학, 31(a2): 71~77 
  2. Jung, Young-Ki ; Suk, Myung-Gun ; Kim, Chang-Jae 2014. "A study on the success factors of Big Data through an analysis of introduction effect of Big Data" 디지털융복합연구 = Journal of digital convergence, 12(11): 241~248 

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