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Fully Implicit RUNGE-KUTTA Schemes for Ideal Elastoplasticity

The present paper derives a multifield formulation of ideal elastoplasticity to enable the consistent application of higher order accurate RUNGE-KUTTA schemes. With the help of an axisymmetric model problem the appearing time discretization errors of distinct schemes are determined and compared.

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Gefördert im Rahmen des Projekts DEAL
Citation
In: Proceedings in applied mathematics and mechanics (PAMM) Volume 21 / Issue 1 (2021-12-14) , S. ; eissn:1617-7061
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@article{doi:10.17170/kobra-202112165261,
  author    ={Schröder, Bettina and Kuhl, Detlef},
  title    ={Fully Implicit RUNGE-KUTTA Schemes for Ideal Elastoplasticity},
  keywords ={620 and Runge-Kutta-Verfahren and Elastoplastizität},
  copyright  ={http://creativecommons.org/licenses/by/4.0/},
  language ={en},
  journal  ={Proceedings in applied mathematics and mechanics (PAMM)},
  year   ={2021-12-14}
}