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Analysis of selected contact algorithms types in terms of their parameters selection

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EN
The analysis of many engineering problems involves not only deformation of the considered system, but occurrence of the interaction between the individual separate elements of the system as well. The occurrence of friction is the most common phenomenon occurring during this interaction. In the case of intense friction, the heat released in this process is also important. In computer methods of mechanics, the process of interaction between bodies is carried out using special algorithms. The most frequently applied are: the penalty method, the barrier method, direct elimination of constraints, the Lagrange multiplier method, the perturbed Lagrangian method, the augmented Lagrangian method, Nitsche method. Owing to its easy implementation process, an approach based on a penalty function is often applied. In this approach, the contact between the bodies can be identified with the presence of the spring between the elements of the bodies in the contact. The stiffness of the spring depends on: material bulk modulus, face area, volume or shell diagonal and a numerically selected scale factor. The article will present the results of analyses that will allow fast and easy selection of its value. In the analyses there were presented the results considering the basic types of contacts: node to surface, surface to surface and surface to surface mortar.
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  • Military University of Technology them. Jarosław Dąbrowski Department of Mechanics and Applied Computer Science Gen. Sylvester Kaliski Street 2, 00 – 908 Warsaw 49, Poland tel.:+48 22 6837348, fax: +48 22 6839355
Bibliografia
  • [1] Chen, C. M., Kovacevic, R., Finite element modeling of friction stir welding—thermal and thermomechanical analysis, International Journal of Machine Tools and Manufacture, Vol. 43, Is. 13, pp. 1319-1326, October 2003.
  • [2] Gok, K., Aydin, M., Investigations of friction stir welding process using finite element method, The International Journal of Advanced Manufacturing Technology, Springer-Verlag, 2013/02/15http://dx.doi.org/10.1007/s00170-013-4798-zPB.
  • [3] Davim, L. P., Maranhão, C., Jackson M. J., Cabral, G., Gracio, J., FEM analysis in high speed machining of aluminium alloy (Al7075-0) using polycrystalline diamond (PCD) and cemented carbide (K10) cutting tools, The International Journal of Advanced Manufacturing Technology, Vol. 39, Is. 11-12, pp. 1093-1100, Springer-Verlag http://dx.doi.org/10.1007/ s00170-007-1299-y, 2008.
  • [4] Hallquist, J.O., A Procedure for the Solution of Finite Deformation Contact-Impact Problems by the Finite Element Method, University of California, Lawrence Livermore National Laboratory, Rept. UCRL-52066, 1976.
  • [5] Hallquist, J.O., Ls-Dyna. Theoretical manual, Livermore Software Technology Corporation, California 2006.
  • [6] Wriggers, P., Computational Contact Mechanics, Springer-Verlag, 2006.
  • [7] Kloosterman, G., van Damme, R. M. J., van den Boogaard, A. H., Huetink, J., A geometricalbased contact algorithm using a barrier method, Int. J. Number. Meth. Eng, Vol. 51, pp. 865-882, 2001.
  • [8] Konyukhov, A., Schweizerhof, K., Computational Contact Mechanics, Springer-Verlag, 2013, DOI 10.1007/978-3-642-31531-2.
  • [9] Hammer, M. E., Frictional mortar contact for finite deformation problems with synthetic contact kinematics, Comput. Mech, Vol. 51, pp. 975-998, 2013.
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bwmeta1.element.baztech-dcdd2887-ee87-4038-9f19-f499af723d79
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