Modelling of size effects in concrete using elasto-plasticity with non-local softening

• Autorzy: Bobiński J. , Tejchman J

Warianty tytułu

PL

Modelowanie efektów skali w betonie przy zastosowaniu sprężysto-plastyczności z nielokalnym osłabieniem

• Języki publikacji: EN

Abstrakty

EN

The paper presents numerical FE-simulations of size effects in quasi-brittle materials like concrete performed under plane strain conditions. The material was modeled within elasto-plasticity with isotropic hardening and softening. A linear Drucker-Prager criterion with a non-associated flow rule was defined in the compressive regime and a linear Rankine criterion with an associated flow rule was adopted in the tensile regime. To ensure the mesh-independence and to capture size effects, both criteria were enhanced in a softening regime by non-local terms to include a characteristic length of micro-structure. FE-analyses of 3 different boundary value problems with respect to a size effect was performed for uniaxial tension, uniaxial compression and three-point bending using various ratios between the characteristic length of microstructure and a concrete specimen size. The numerical results for uniaxial tension and bending were compared with the size effect law by Bazant. In addition, the size effect was numerically investigated in a reinforced concrete beam without stirrups subject to bending, where a perfect bond between concrete and reinforcement was assumed.

PL

Artykuł przedstawia numeryczne symulacje MES efektów skali w materiałach kruchych takich jak beton wykonane w warunkach płaskiego stanu odkształceń. Materiał był modelowany w ramach sprężysto-plastyczności z izotropowym wzmocnieniem i osłabieniem. W obszarze ściskania przyjęto liniowe kryterium Druckera-Pragera z niestowarzyszonym prawem płynięcia, a w obszarze rozciągania liniowe kryterium Rankina ze stowarzyszonym prawem płynięcia. W celu zapewnienia niezależności wyników od siatki i możliwości opisu efektów skali, oba kryteria zostały rozszerzone w obszarze osłabienia o czynniki nielokalne w celu uwzględniania długości charakterystycznej mikrostruktury. Wykonano analizy 3 różnych problemów brzegowych ze względu na efekt skali: jednoosiowego ściskania, jednoosiowego rozciągania i 3-punktowego zginania dla różnych proporcji między długością charakterystyczną mikrostruktury a wielkością elementu. Wyniki numeryczne dla rozciągania i zginania zostały porównane z prawem efektu i skali według Bazanta. Dodatkowo wykonano obliczenia dla żelbetowych belek bez strzemion poddanych zginaniu, gdzie przyjęto pełny kontakt (bez możliwości poślizgu) między zbrojeniem a betonem.

Słowa kluczowe

EN

concrete; elasto-plasticity; FEM; localization of deformation; non-locality; size effect; softening

PL

efekt skali; modelowanie; beton; MES (metoda elementów skończonych); deformacja; sprężysto-plastyczność; stan odkształceń płaski; uplastycznienie

• Wydawca: Komitet Inżynierii Lądowej i Wodnej PAN ; Politechnika Warszawska, Wydział Inżynierii Lądowej
• Czasopismo: Archives of Civil Engineering
• Rocznik: 2006
• Tom: Vol. 52, nr 1
• Strony: 7--35
• Opis fizyczny: Bibliogr. 64 poz., il.

Twórcy

autor

Bobiński J.

autor

Tejchman J

• University of Technology, Gdańsk-Wrzeszcz,

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