Modeling of strain localization in quasi-brittle materials with a coupled elasto-plastic-damage model

Bobiński, J.; Tejchman, J.

Artykuł - szczegóły

Tytuł artykułu

Modeling of strain localization in quasi-brittle materials with a coupled elasto-plastic-damage model

Autorzy

Bobiński J. , Tejchman J.

Treść / Zawartość

Pełne teksty:

httpwww_ptmts_org_plbob-tejchman-4-06.pdf

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Warianty tytułu

Modelowanie lokalizacji odkształceń w materiałach quasi-kruchych z zastosowaniem modelu sprężysto-plastycznego

Języki publikacji

Abstrakty

The paper presents results of numerical simulations of strain localization in quasi-brittle materials (like concrete) under plane strain conditions. To model the material behaviour, an isotropic elasto-plastic-damage model combining elasto-plasticity and scalar damage was used. An elasto-plastic constitutive law using a Drucker-Prager yield surface (in compression) and Rankine yield surface (in tension) was defined. A modified failure criterion by Rankine for the equivalent strain using an exponential evolution law was assumed within damage mechanics. To obtain mesh-independent results of strain localization, the model was enhanced by non-local terms in the softening regime. A four-point bending test of a concrete beam with a single notch was numerically simulated using the finite element method. FE-results were compared with laboratory experiments.

W artykule przedstawiono wyniki symulacji numerycznych lokalizacji odkształceń w materiałach quasi-kruchych (jak beton) w płaskim stanie odkształcenia. Do opisu materiału przyjęto izotropowy model sprężysto-plastyczno-zniszczeniowy uwzględniający prawo sprężysto-plastyczne ze skalarną degradacją sztywności. W przypadku prawa sprężysto-plastycznego przyjęto kryterium plastyczności Druckera-Pragera w ściskaniu i kryterium plastyczności Rankine'a w rozciąganiu. Degradację sprężystą opisano z wykorzystaniem definicji odkształcenia zastępczego wegług warunku Rankine'a i wykładniczym prawem ewolucji. W celu otrzymania wyników niezależnych od siatki elementów skończonych, w obszarze osłabienia przyjęto teorię nielokalną. Przedstawiono wyniki symulacji numerycznych dla belki betonowej z nacięciem obciążonej dwoma siłami skupionymi. Wyniki numeryczne porównane z wynikami doświadczalnymi.

Słowa kluczowe

damage mechanics elasto-plasticity non-local theory strain localization

lokalizacja odkształceń materiały quasi-kruche teoria nielokalna

Wydawca

Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej

Czasopismo

Journal of Theoretical and Applied Mechanics

Rocznik

2006

Tom

Vol. 44 nr 4

Strony

767--782

Opis fizyczny

Bibliogr. 50 poz., rys.

Twórcy

autor

Bobiński J.

autor

Tejchman J.

Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, bobin@pg.gda.pl

Bibliografia

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