Browse > Article

Searching Algorithm for Finite Element Analysis of 2-D Contact Problems  

장동환 (인하대학교 자동화공학과)
최호준 (인하대학교 자동화공학과)
고병두 (인하대학교 자동화공학과)
조승한 (인하대학교 자동화공학과)
황병복 (인하대학교 자동화공학과)
Publication Information
Abstract
In this paper, efficient and accurate contact search algorithm is proposed for the contact problems by the finite element method. A slave node and a maser contact segment is defined using the side of a finite element on the contact surface. The specific goal is to develop techniques of reducing the nonsmoothness of the contact interactions arising from the finite element discretization of the contact surface. Contact detection is accomplished by monitoring the territory of the slave nodes throughout the calculation for possible penetration of a master surface. To establish the validity of the proposed algorithm, some different process and geometries examples were simulated. Efforts are focused on the error rate that is based on the penetrated area through the simulations fur large deformation with contact surface between deformable bodies. A proposed algorithm offers improvements in contact detection from the simulation results.
Keywords
Contact Problems; Contact Searching; Finite Element Method; Single Surface Algorithm;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 I. Paczelt, B.A. Szabo and T. Szabo, 'Solution of contact problem using the hp-version of the finite element method,' Int. J. Computers & Mathematics with Appl. Vol. 38, pp. 49-69, 1999   DOI   ScienceOn
2 S.S. Cho, S.Y. Lee and Y.K. Ryu, 'Determination of flexible tool path in curved surface finishing based on contact analysis,' J. KSPE, Vol. 17, No. 11, pp. 69-74, 2000   과학기술학회마을
3 P. Wriggers, 'Finite element methods for contact problems with friction,' Tribology International, Vol. 29, No. 8, pp. 651-658, 1996   DOI   ScienceOn
4 S.P. Timoshenko and J.N. Foodier, 'Theory of Elasticity,' 3rd edition (McGraw-Hill, Toronto), pp. 403-422, 1970
5 V. Padmanabhan and T.A. Laursen, 'A framework for development of surface smoothing procedures in large deformation frictional contact analysis,' Finite Elements in Analysis and Design, Vol. 37, pp. 173-198, 2001   DOI   ScienceOn
6 H.C.J. Bruneel and I.D. Rycke, 'QuickTrace: a fast algorithm to detect contact,' Int. J. for Numer. Meth. Engng., Vol. 54, pp. 299-316, 2002   DOI   ScienceOn
7 K.L. Johnson, 'Tribology group nominated lecture: One hundred years of Hertz contact,' Proc. Inst. Mech. Engrs. 196, pp. 363-378, 1982
8 W. R. C. Underhill, M. A. Dokainish, G. E. Oravas, 'A method for contact problems using virtual elements,' Comp. Methods Appl. Mech. Engrg., Vol. 143, pp. 229-247, 1997   DOI   ScienceOn
9 E. Nakamachi, 'Computer aided simulation fo sheet metal forming procedures by thin shell finite element analysis,' Advancde Technology of Plasticity, Kyoto, pp. 1475-1750, 1990
10 N. Rebelo, J.C. Nagtegaal, L.M. Taylor, R. Passman, 'Comparison of implicit and explicit finite element methods int the simulation of metal forming processes,' Numiform'92, Chenot et al.(eds.), Valbonne, pp. 99-108, 1992
11 A, Santos, A. Makinouchi, 'Contact strategies to deal with different tool descriptions in static explicit FEM of 3-D sheet metal forming simulation,' NUMISHEET'93, Makinouchi et al.(eds), Japan, pp. 261-270, 1993
12 J.O. Hallquist and D.J. Benson, 'User's Manual for DYNA3D: Nonlinear Dynamics Analysis of Structures,' Rev. 3, UCID-19592, Lawrence Livemore National Laboratories, 1987
13 Hibbitt, Karlsson and Sorensen, Inc., 'Contact Calculations with ABAQUS-ABAQUS Explicit Users Manual,' Hibbitt, Karlsson and Sorensen, Inc., 1992
14 L. Nilsson, Z.H. Zhong, M. Oldenburg., 'Analysis of shell structures subjected to contact-impacts,' In Symposium on Analytical and Computational Models for Shells, Noor AK(ed.), ASME: San Fransisco, 1989
15 Z.H. Zhong, 'Finite Element Procedure for Contact-Impact Problems,' Oxford University Press: New York, 1993
16 T. Belytschko and W.K. Liu and B. Moran, Nonlinear finite elements for continua and structures, John Wiley & Sons, LTD, England, 2000
17 M.W. Heinstein, S.W. Attaway, J.W. Swegle, F.J. Mello, 'A general contact detection algorithm for finite element analysis,' Computational Mechanical Publications, UK, 1993
18 S.W. Attaway, 'Update of PRONTO2D and PRONTO3D Transient Solid Dynamics Programs,' SAND90-0102, Sandia National Laboratories, Albuquerque, NM 87185, 1990
19 Y.W. Hahn and Y.T. Im, 'Finite element analysis forming processes with free surface contact algorithm,' Trans. of Materials Processing, Vol. 4, No. 1, pp. 48-58, 1995   과학기술학회마을
20 J.O. Hallquist, G.L. Goudreau, Benson DJ, 1985, 'Sliding interfaces with contact-impact in large-scale Lagrangian computation,' Computer Methods in Applied Numerical Methods, Vol. 51, pp. 107-137   DOI   ScienceOn
21 D.H. Jang and B.B. Hwang, 'Rigid-plastic FE modelling of frictional contact problems on a penalty method,' Trans. of Meterials Processing, Vol. 12, No. 1, pp. 34-42, 2003
22 Z.H. Zhong and L. Nillson, 'A contact searching algorithm for contact problems,' Computers & Structures, Vol. 33, No. 1, pp. 197-209, 1989   DOI   ScienceOn
23 M. Bruneel and I. de Rijcke, 'A fast algorithm to detect contact,' Technical Report HBr/9501 OCAS n.v., October, 1995
24 A.M. Harbraken, J.P. Radu and R. Charlier, 'Numerical approach of contact with friction between two bodies in large deformations,' Contact Mechanics int, Symposium, October 7-9, 1992
25 Z.H. Zhong and L. Nilsson, 'A unified contact algorithm based on the territory concept,' Comput. Method Appl. Mech. Engrg, Vol. 130, pp. 1-16, 1996   DOI   ScienceOn
26 S.P. Wang and E. Nakamachi, 'The inside-outside contact search algorithm for finite element analysis,' Int. J. for Numer. Meth. Engng., Vol. 40, pp. 3665-3685, 1997   DOI   ScienceOn
27 T. Belytschko, W.J.T. Daniel and G. Ventura, 'A monolithic smoothing-gap algorithm for contact-impact based on the signed distance function,' Int. J. for Numer. Meth. Engng., Vol. 55, pp. 101-125, 2002   DOI   ScienceOn
28 M. Oldenburg and L. Nilsson, 'The position code algorithm for contact searching,' Int. J. for Numer. Meth. Engng., Vol. 37, pp. 359-386, 1994   DOI   ScienceOn
29 S. Wang and A. Makinouchi, 'Contact search strategies for FEM simulation of the blow molding process,' Int. J. Numer. Meth. Engng 48, pp. 501-521, 2000   DOI   ScienceOn
30 Air Force Material Lavoratory, 'Forming Equipment,' Materials and Practices, Metal and Ceramics Information Center, p. 164, 1973
31 A.M. Habraken and S. Cescotto, 'Contact between deformable solids: The fully coupled approach, Mathl,' Comput. Modelling, Vol. 28, No. 4-8, pp. 153-169, 1998   DOI   ScienceOn