An algorithm for simulation of large sliding contact with friction between domains modelled with finite element and material point methods

A Andreykiv, LJ Lim, M Burg, Ronald Brinkgreve

Research output: Contribution to conferenceAbstractScientific

Abstract

Material point method (MPM) is very suitable for modelling extreme deformation of materials, where the traditional finite element method (FEM) often encounters mesh distortion. However, FEM is more accurate and efficient than MPM for problems with small deformation. A large number of engineering applications involve modelling of contact interaction between two bodies where only one of them experiences large deformation. Examples are pile driving or spudcan penetration in soil mechanics, cutting, wear etc. Most of the work on contact modelling within MPM framework reports algorithms that simulate all contact bodies using MPM. One publication [1] presents explicit algorithm where one contact body is modelled with FEM, while the other with MPM.

In this work we present an algorithm for implicit modelling of such FEM/MPM contact interaction. The algorithm is based on minimization of the energy functional with constraint terms, formulated as in classical contact mechanics, using Augmented Lagrangian method [2]. However, instead of the distance function, we use level set function which zero contour tracks the boundary of the contact body modelled with MPM. Since the boundary of the FEM-based body is immersed into the MPM-based domain, the contact contribution is applied similar to fictitious domain methods [3]. The presented numerical examples validate the algorithm against the results, known from literature, as well as demonstrate its applicability for geomechanical calculations.
Original languageEnglish
Number of pages1
Publication statusPublished - 23 May 2016
Event7th International Conference on Computational Methods - University of California at Berkeley, Sutardja Dai Hall, Berkeley, United States
Duration: 1 Aug 20164 Aug 2016
http://www.sci-en-tech.com/ICCM/index.php/iccm2016/2016

Conference

Conference7th International Conference on Computational Methods
Abbreviated titleICCM2016
CountryUnited States
CityBerkeley
Period1/08/164/08/16
Internet address

Keywords

  • contact
  • level set
  • material point method
  • finite elements
  • implicit method

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