Generation of dedicated finite element meshes for multiscale applications with Delaunay triangulation and adaptive finite element - cellular automata algorithms

• Autorzy: Madej L. , Krużel P. , Cybułka P. , Perzyński K. , Banaś B.

Warianty tytułu

PL

Opracowanie algorytmów do tworzenia siatek elementów skończonych na bazie triangulacji Delaunaya i adaptacyjnej metody elementów skończonych skorelowanej z metodą automatów komórkowych

• Języki publikacji: EN

Abstrakty

EN

The main aim of the work is development and comparison of algorithms for mesh creation that can be further used to investigate material behavior under loading conditions, on the basis of digital material representation. Particular attention is put on development of conforming meshes for two-phase materials. Two approaches are investigated within the present work. The first is based on mesh refinement along particular microstructure features. The second incorporates cellular automata phase transformation model into the FE element adaptation technique. Description of the two approaches and example of application of the obtained meshes to analysis of the multiscale material behavior under plastic deformation condition are presented.

PL

Głównym celem pracy jest opracowanie i porównanie algorytmów generowania siatek, elementów skończonych, które można wykorzystać do badania zachowania materiału w warunkach odkształcenia z wykorzystanie idei cyfrowej reprezentacji materiału. W pracy szczególna uwaga została położona na odwzorowanie stopniem zagęszczenia elementów morfologii materiałów dwufazowych. W tym celu wykorzystano dwa różne algorytmy. Pierwszy oparty jest na utworzeniu siatki poprzez triangulacje Delaunay przy jednoczesnym jej zagęszczeniu wzdłuż poszczególnych elementów mikrostruktury. Drugi obejmuje wykorzystanie modelu przemiany fazowej opracowanego na bazie metody automatów komórkowych i sprzęgnięcie go z algorytmami adaptacji siatki podczas rozwiązania MES zagadnienia liniowej sprężystości. Opis w/w algorytmów oraz przykład zastosowania uzyskanych siatek do wieloskalowej analizy zachowania się mikrostruktury w warunkach odkształcenia plastycznego jest zamieszczony w ramach niniejszej pracy.

Słowa kluczowe

EN

finite element mesh generation; digital material representation; inhomogeneous deformation; mesh refinement

• Wydawca: Wydawnictwa AGH
• Czasopismo: Computer Methods in Materials Science
• Rocznik: 2012
• Tom: Vol. 12, No. 2
• Strony: 85--96
• Opis fizyczny: Bibliogr. 30 poz., rys.

Twórcy

autor

Madej L.

autor

Krużel P.

autor

Cybułka P.

autor

Perzyński K.

autor

Banaś B.

• AGH University of Science and Technology, Krakow, Poland,

Bibliografia

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