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Development of Numerical Algorithms for Multicontact Problems of Mechanics Considering Various Inelastic Effects

11 pagesPublished: December 11, 2024

Abstract

Algorithms for the numerical solution of contact quasi-static problems of deformable solid mechanics were constructed. The contact interaction of the body system was con- sidered using the mortar method (a variant of the Lagrange multiplier method). The de- veloped algorithms were used to simulate the thermomechanical state of a fuel element section, considering creep and cracking. The results of calculations for axisymmetric for- mulation of the problem for the operation mode of a fuel element with constant heat release in fuel pellets are presented.

Keyphrases: cracking, creep, domain decomposition method, finite element method, fuel element, mortar method, multi contact problem, plasticity

In: Varvara L Turova, Andrey E Kovtanyuk and Johannes Zimmer (editors). Proceedings of 3rd International Workshop on Mathematical Modeling and Scientific Computing, vol 104, pages 25-35.

BibTeX entry
@inproceedings{MMSC2024:Development_Numerical_Algorithms_Multicontact,
  author    = {Pavel Aronov and Mikhail Galanin and Alexandr Rodin},
  title     = {Development of Numerical Algorithms for Multicontact Problems of Mechanics Considering Various Inelastic Effects},
  booktitle = {Proceedings of  3rd International Workshop on Mathematical Modeling and Scientific Computing},
  editor    = {Varvara L Turova and Andrey E Kovtanyuk and Johannes Zimmer},
  series    = {EPiC Series in Computing},
  volume    = {104},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {/publications/paper/Rw4x},
  doi       = {10.29007/pp9w},
  pages     = {25-35},
  year      = {2024}}
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