A partitioned formulation of the stabilized explicit finite element contactimpact algorithm with reciprocal mass matrices

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F21%3A00549233" target="_blank" >RIV/61388998:_____/21:00549233 - isvavai.cz</a>

Výsledek na webu

<a href="https://2021.compdyn.org/" target="_blank" >https://2021.compdyn.org/</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

A partitioned formulation of the stabilized explicit finite element contactimpact algorithm with reciprocal mass matrices

Popis výsledku v původním jazyce

This contribution deals with an accurate yet powerful methodology of contact-impact treatment for explicit finite element analysis. It stands on four pillars. First, the classic penalty treatment of contact constraints is well known to negatively affect the size of the critical time step. By using the bipenalty method [1], which in addition to potential energy also penalizes kinetic energy, it is possible to maintain a critical time step of the non-penalized system. In addition, oscillations of contact forces are reduced by using a predictor-corrector form of an explicit time integration scheme. Second, for uncoupling the interface terms from the free body equations, a method of localized Lagrange multipliers [2] is employed to formulate the contact problem in a partitioned manner. Third, the sparse inverse mass matrices in the free body equations of motion are directly constructed [3]. And finally, an element-by-element mass matrix scaling technique that allows the extensionnof the time integration step [4] is adopted. Thanks to these four techniques, it was possible to increase the performance of the explicit contact algorithm while improving the stability of the numerical solution, as shown by solving several numerical examples.

Název v anglickém jazyce

A partitioned formulation of the stabilized explicit finite element contactimpact algorithm with reciprocal mass matrices

Popis výsledku anglicky

This contribution deals with an accurate yet powerful methodology of contact-impact treatment for explicit finite element analysis. It stands on four pillars. First, the classic penalty treatment of contact constraints is well known to negatively affect the size of the critical time step. By using the bipenalty method [1], which in addition to potential energy also penalizes kinetic energy, it is possible to maintain a critical time step of the non-penalized system. In addition, oscillations of contact forces are reduced by using a predictor-corrector form of an explicit time integration scheme. Second, for uncoupling the interface terms from the free body equations, a method of localized Lagrange multipliers [2] is employed to formulate the contact problem in a partitioned manner. Third, the sparse inverse mass matrices in the free body equations of motion are directly constructed [3]. And finally, an element-by-element mass matrix scaling technique that allows the extensionnof the time integration step [4] is adopted. Thanks to these four techniques, it was possible to increase the performance of the explicit contact algorithm while improving the stability of the numerical solution, as shown by solving several numerical examples.

Druh

O - Ostatní výsledky

CEP obor

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OECD FORD obor

20302 - Applied mechanics

Projekt

<a href="/cs/project/GA19-14237S" target="_blank" >GA19-14237S: Studium nelineární interakce elastických vln s trhlinou</a><br>

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