Partitioned formulation of contact-impact problems with stabilized contact constraints and reciprocal mass matrices

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F21%3A00543483" target="_blank" >RIV/61388998:_____/21:00543483 - isvavai.cz</a>

Výsledek na webu

<a href="https://onlinelibrary.wiley.com/doi/10.1002/nme.6739" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1002/nme.6739</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/nme.6739" target="_blank" >10.1002/nme.6739</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Partitioned formulation of contact-impact problems with stabilized contact constraints and reciprocal mass matrices

Popis výsledku v původním jazyce

This work presents an efficient and accuracy-improved time explicit solution methodology for the simulation of contact-impact problems with finite elements. The proposed solution process combines four different existent techniques. First, the contact constraints are modeled by a bipenalty contact-impact formulation that incorporates stiffness and mass penalties preserving the stability limit of contact-free problems for efficient explicit time integration. Second, a method of localized Lagrange multipliers is employed, which facilitates the partitioned governing equations for each substructure along with the completely localized contact penalty forces pertaining to each free substructure. Third, a method for the direct construction of sparse inverse mass matrices of the free bodies in contact is combined with the localized Lagrange multipliers approach. Finally, an element-by-element mass matrix scaling technique that allows the extension of the time integration step is adopted to improve the overall performance of the algorithm. A judicious synthesis of the four numerical techniques has resulted in an increased stable explicit step-size that boosts the performance of the bipenalty method for contact problems. Classical contact-impact numerical examples are used to demonstrate the effectiveness of the proposed methodology.

Název v anglickém jazyce

Partitioned formulation of contact-impact problems with stabilized contact constraints and reciprocal mass matrices

Popis výsledku anglicky

This work presents an efficient and accuracy-improved time explicit solution methodology for the simulation of contact-impact problems with finite elements. The proposed solution process combines four different existent techniques. First, the contact constraints are modeled by a bipenalty contact-impact formulation that incorporates stiffness and mass penalties preserving the stability limit of contact-free problems for efficient explicit time integration. Second, a method of localized Lagrange multipliers is employed, which facilitates the partitioned governing equations for each substructure along with the completely localized contact penalty forces pertaining to each free substructure. Third, a method for the direct construction of sparse inverse mass matrices of the free bodies in contact is combined with the localized Lagrange multipliers approach. Finally, an element-by-element mass matrix scaling technique that allows the extension of the time integration step is adopted to improve the overall performance of the algorithm. A judicious synthesis of the four numerical techniques has resulted in an increased stable explicit step-size that boosts the performance of the bipenalty method for contact problems. Classical contact-impact numerical examples are used to demonstrate the effectiveness of the proposed methodology.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal for Numerical Methods in Engineering

ISSN

0029-5981

e-ISSN

1097-0207

Svazek periodika

122

Číslo periodika v rámci svazku

17

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

28

Strana od-do

4609-4636

Kód UT WoS článku

000651006700001

EID výsledku v databázi Scopus

2-s2.0-85105803899