Application of the fully automatic hp-adaptive FEM to elastic-plastic problems

• Autorzy: Oleksy M. , Cecot W.

Warianty tytułu

PL

Automatyczna hp-adaptacja dla zagadnień sprężysto-plastycznych

• Języki publikacji: EN

Abstrakty

EN

The hp-adaptive mesh refinement is a technique that for linear problems proved to deliver a fast, predicted by theory, exponential convergence. We have applied this approach to elastic-plastic problems modeled by associative constitutive law with the Mises yield surface. A modification of the automatic refinements and various types of mesh adaptation were tested. Exponential convergence was observed when the FEM mesh complied with the yielding zone. In general the original automatic hp-mesh refinements led to the fastest convergence even though it was only algebraic, what is theoretically justified for elastic-plastic problems.

PL

Metoda hp-adaptacji jest techniką, która dla zagadnień liniowych gwarantuje szybką, udowodniona teoretycznie, zbieżność eksponencjalną błędu. Wykorzystaliśmy tą metodę dla wybranych problemów sprężysto-plastycznych ze stowarzyszonym prawem płynięcia i powierzchnią plastyczną Misesa. Zaproponowaliśmy modyfikację estymatora błędu sterującego podziałami elementów. Zaobserwowaliśmy zbieżność eksponencjalną, gdy krawędź elementu skończonego pokrywa SE z granicą strefy sprężysto-plastycznej.

Słowa kluczowe

EN

fully automatic hp-adaptivity; elastic-plastic problem; exponential convergence

• Wydawca: Wydawnictwa AGH
• Czasopismo: Computer Methods in Materials Science
• Rocznik: 2015
• Tom: Vol. 15, No.1
• Strony: 204--212
• Opis fizyczny: Bibliogr. 22 poz., rys.

Twórcy

autor

Oleksy M.

• Institute for Computational Civil Engineering, Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland

autor

Cecot W.

• Institute for Computational Civil Engineering, Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland

Bibliografia

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