% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@INPROCEEDINGS{Schulz:868012,
      author       = {Schulz, Stephan and Sutmann, Godehard},
      title        = {{A} {C}onsistent {B}oundary {M}ethod for the {M}aterial
                      {P}oint {M}ethod - {U}sing {I}mage {P}articles to {R}educe
                      {B}oundary {A}rtefacts},
      address      = {Barcelona, Spain},
      publisher    = {International Centre for Numerical Methods in Engineering
                      (CIMNE)},
      reportid     = {FZJ-2019-06605},
      isbn         = {978-84-121101-1-1},
      pages        = {522 - 531},
      year         = {2019},
      abstract     = {The Material Point Method (MPM) is a continuum-based
                      numerical method which discretises the object as material
                      points. It is particularly wellsuited for and has shown
                      great success in the community for large deformations. Even
                      though it has been widely adopted, there are still
                      fundamental questions to be addressed. In MPM the material
                      properties are carried on the material points and the
                      dynamics is calculated on an overlaid grid. Afterwards, the
                      material points are integrated according to the grid values
                      using an explicit time integration scheme. The traditional
                      boundary methods are applied on the grid values, such as
                      setting the grid momentum to zero for grid nodes inside a
                      fixed wall. This can cause artefacts in the stress as seen
                      for an object in touch with the wall. These distort the
                      stress multiple grid lengths into the object. In this paper
                      we propose a novel consistent boundary method to reduce
                      these artefacts. The method is borrowed from electrostatics
                      and makes use of so called image particles. With their help
                      the desired values of the momentum field are created on both
                      the grid and particles in a consistent way. We will also
                      show an optimization that makes the explicit construction of
                      mirror particles unnecessary. The traditional boundary
                      method and image particle method are then compared using
                      numerical examples featuring stress induced by a simple
                      shear and body forces. These numerical examples show a
                      significant reduction of boundary artefacts using the image
                      particle method.},
      month         = {Oct},
      date          = {2019-10-28},
      organization  = {VI International Conference on
                       Particle Based Methods: Fundamentals
                       and Applications, Barcelona (Spain), 28
                       Oct 2019 - 30 Oct 2019},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)8 / PUB:(DE-HGF)7},
      url          = {https://juser.fz-juelich.de/record/868012},
}