A two-scale numerical approach to granular systems

• Autorzy: Nitka M. , Tejchman J.

Warianty tytułu

PL

Dwuskalowe numeryczne podejście do systemów granulowanych

• Języki publikacji: EN

Abstrakty

EN

A two-scale numerical homogenization approach was used for granular materials. At small-scale level, granular micro-structure was simulated using the discrete element method. At macroscopic level, the finite element method was applied. An up-scaling technique took into account a discrete model at each Gauss integration point of the FEM mesh to derive numerically an overall constitutive response of the material. In this process, a tangent operator was generated with the stress increment corresponding to the given strain increment at the Gauss point. In order to detect a loss of the solution uniqueness, a determinant of the acoustic tensor associated with the tangent operator was calculated. Some elementary geotechnical tests were numerically calculated using a combined DEM-FEM technique.

PL

Zastosowano dwuskalowe numeryczne podejście homogenizacyjne do materiałów granulowanych. Na poziomie małej skali symulowano granulowaną mikrostrukturę przy zastosowaniu metody elementów dyskretnych. Na poziome dużej skali zastosowano metodę elementów skończonych. Technika przechodzenia do wyższej skali uwzględniła dyskretny model w każdym punkcie całkowania Gaussa siatki MES w celu wyprowadzenia numerycznego obliczenia wynikowej konstytutywnej odpowiedzi materiału. W tym procesie, operator styczny został obliczony za pomocą przyrostu naprężenia odpowiadającego danemu przyrostowi odkształcenia w punkcie Gaussa. W celu wykrycia utraty jednoznaczności rozwiązania, określono wyznacznik tensor akustycznego związanego z operatorem stycznym. Obliczono numerycznie kilka podstawowych testów geotechnicznych stosując połączoną technikę MED-MES.

Słowa kluczowe

EN

discrete element method; finite element method; granular material; homogenization technique; two-scale approach

PL

metoda elementów dyskretnych; metoda elementów skończonych; materiał granulowany; technika homogenizacyjna; podejście dwuskalowe

• Wydawca: Komitet Inżynierii Lądowej i Wodnej PAN ; Politechnika Warszawska, Wydział Inżynierii Lądowej
• Czasopismo: Archives of Civil Engineering
• Rocznik: 2011
• Tom: Vol. 57, nr 3
• Strony: 313--330
• Opis fizyczny: Bibliogr. 38 poz., il.

Twórcy

autor

Nitka M.

autor

Tejchman J.

• Gdańsk University of Technology, Civil and Environmental Engineering Department,

Bibliografia

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