Publication result detail

On a new computational algorithm for impacts of elastic bodies

ŠTEKBAUER, H.; NĚMEC, I.; LANG, R.; BURKART, D.; VALA, J.

Original Title

On a new computational algorithm for impacts of elastic bodies

English Title

On a new computational algorithm for impacts of elastic bodies

Type

WoS Article

Original 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.

English 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.

Keywords

computational mechanics; contact problem; finite element method; explicit time integration algorithm

Key words in English

computational mechanics; contact problem; finite element method; explicit time integration algorithm

Authors

ŠTEKBAUER, H.; NĚMEC, I.; LANG, R.; BURKART, D.; VALA, J.

RIV year

2023

Released

15.12.2022

Publisher

Springer Nature

Location

London

ISBN

0862-7940

Periodical

Applications of Mathematics

Volume

67

Number

6

State

Czech Republic

Pages from

775

Pages to

804

Pages count

30

URL

https://articles.math.cas.cz/10.21136/AM.2022.0129-21

BibTex

@article{BUT180714,
  author="Hynek {Štekbauer} and Ivan {Němec} and Rostislav {Lang} and Daniel {Burkart} and Jiří {Vala}",
  title="On a new computational algorithm for impacts of elastic bodies",
  journal="Applications of Mathematics",
  year="2022",
  volume="67",
  number="6",
  pages="775--804",
  doi="10.21136/AM.2022.0129-21",
  issn="0862-7940",
  url="https://articles.math.cas.cz/10.21136/AM.2022.0129-21"
}