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KIAM Preprint № 89, Moscow, 2015
Authors: Galanin M. P., Gliznutsina P.V., Lukin V. V., Rodin A. S.
Lagrange multiplier method implementations for two-dimensional contact problems
Abstract:
The two-dimensional elastic contact problem is considered. Finite element method with bilinear shape functions are used. The Lagrange multiplier method for contact conditions implementation is used in three ways: node-to-surface method, mortar method and advanced mortar method. The tests showed that the mortar method and the advanced mortar method are more accurate, than the node-to-surface method. The advanced mortar method is able to smooth the stress field fluctuations, but only in limited number of problems.
Keywords:
contact problem, finite element method, Lagrange multiplier, node-to-surface method, standart mortar method, advanced mortar method
Publication language: russian,  pages: 27
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Galanin Mikhail Pavlovich,  orcid.org/0000-0003-0264-6270KIAM RAS
  • Gliznutsina Polina Vladimirovna,  KIAM RAS
  • Lukin Vladimir Vladimirovich,  orcid.org/0000-0002-3180-7806KIAM RAS
  • Rodin Aleksandr Sergeevich,  orcid.org/0000-0001-5934-704XKIAM RAS