On a new computational algorithm for impacts of elastic bodies

Hynek Štekbauer; Ivan Němec; Rostislav Lang; Daniel Burkart; Jiří Vala

Applications of Mathematics (2022)

  • Volume: 67, Issue: 6, page 775-804
  • ISSN: 0862-7940

Abstract

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Computational modelling of contact problems is still one of the most difficult aspects of non-linear analysis in engineering mechanics. The article introduces an original efficient explicit algorithm for evaluation of impacts of bodies, satisfying the conservation of both momentum and energy exactly. The algorithm is described in its linearized 2-dimensional formulation in details, as open to numerous generalizations including 3-dimensional ones, and supplied by numerical examples obtained from its software implementation.

How to cite

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Štekbauer, Hynek, et al. "On a new computational algorithm for impacts of elastic bodies." Applications of Mathematics 67.6 (2022): 775-804. <http://eudml.org/doc/298528>.

@article{Štekbauer2022,
abstract = {Computational modelling of contact problems is still one of the most difficult aspects of non-linear analysis in engineering mechanics. The article introduces an original efficient explicit algorithm for evaluation of impacts of bodies, satisfying the conservation of both momentum and energy exactly. The algorithm is described in its linearized 2-dimensional formulation in details, as open to numerous generalizations including 3-dimensional ones, and supplied by numerical examples obtained from its software implementation.},
author = {Štekbauer, Hynek, Němec, Ivan, Lang, Rostislav, Burkart, Daniel, Vala, Jiří},
journal = {Applications of Mathematics},
keywords = {computational mechanics; contact problem; finite element method; explicit time integration algorithm},
language = {eng},
number = {6},
pages = {775-804},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a new computational algorithm for impacts of elastic bodies},
url = {http://eudml.org/doc/298528},
volume = {67},
year = {2022},
}

TY - JOUR
AU - Štekbauer, Hynek
AU - Němec, Ivan
AU - Lang, Rostislav
AU - Burkart, Daniel
AU - Vala, Jiří
TI - On a new computational algorithm for impacts of elastic bodies
JO - Applications of Mathematics
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 6
SP - 775
EP - 804
AB - Computational modelling of contact problems is still one of the most difficult aspects of non-linear analysis in engineering mechanics. The article introduces an original efficient explicit algorithm for evaluation of impacts of bodies, satisfying the conservation of both momentum and energy exactly. The algorithm is described in its linearized 2-dimensional formulation in details, as open to numerous generalizations including 3-dimensional ones, and supplied by numerical examples obtained from its software implementation.
LA - eng
KW - computational mechanics; contact problem; finite element method; explicit time integration algorithm
UR - http://eudml.org/doc/298528
ER -

References

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