Static gradient damage simulations using stabilized finite elements

• Autorzy: Pamin J. , Wosatko A.

Warianty tytułu

PL

Gradientowy model do statycznych symulacji uszkodzenia przy użyciu elementow skończonych ze stabilizacją

• Języki publikacji: EN

Abstrakty

EN

The hourglass control of two-field finite elements for the coupled problem of gradient damage is analyzed. For the equilibrium equations, stabilization is introduced according to the leastsquare method. For the additional averaging equation, three proposals of stabilization are considered, however only the operator method performs well. Attention is focused on the formulation, implementation and spectral analysis of four-noded elements in two-dimensional simulations. Basic benchmarks of a tensile bar with an imperfection and a beam in four-point bending are computed and discussed.

PL

W artykule przedstawiono dwupolowe elementy skoczone z kontrolą pasożytniczych form deformacji, sformułowane dla sprzężonego problemu gradientowej mechaniki uszkodzenia. Zastosowano stabilizację rownań równowagi zgodnie z metodą najmniejszych kwadratów. Rozpatrzono trzy warianty stabilizacji dodatkowego równania uśredniającego, z których tylko metoda wykorzystująca operator γ jest skuteczna. Uwaga została skupiona na wyprowadzeniu, implementacji i analizie spektralnej czterowęzłowego elementu do symulacji dwuwymiarowych. Przedyskutowano wyniki uzyskane dla podstawowych testów rozciąganego pręta z imperfekcją i belki czteropunktowo zginanej.

Słowa kluczowe

EN

gradient damage; stabilized finite elements; localization of deformation

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2012
• Tom: Vol. 50 nr 3
• Strony: 841--853
• Opis fizyczny: Bibliogr. 25 poz., rys., tab.

Twórcy

autor

Pamin J.

autor

Wosatko A.

• Cracow University of Technology, Faculty of Civil Engineering, Krakow, Poland,

Bibliografia

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• 17. Peerlings R.H.J., de Borst R., Brekelmans W.A.M., Geers M.G.D., 1998, Gradientenhanced damage modelling of concrete fracture, Mech. Cohes.-frict. Mater., 3, 323-342
• 18. Reese S., 2003, On a consistent hourglass stabilization technique to treat large inelastic deformations and thermo-mechanical coupling in plane stress problems, Int. J. Numer. Meth. Engng, 57, 1095-1127
• 19. Simone A., Askes H., Peerlings R.H.J., Sluys L.J., 2003, Interpolation requirements for implicit gradient-enhanced continuum damage models, Communications in Numerical Methods in Engineering, 19, 563-572 (see also Simone et al., 2004)
• 20. Simone A., Askes H., Peerlings R.H.J., Sluys L.J., 2004, Corrigendum ’Interpolation rquirements for implicit gradient-enhanced continuum damage models’, Communications in Numerical Methods in Engineering, 20, 163-165
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• 23. Wosatko A., 2008, Finite-Element Analysis of Cracking in Concrete Using Gradient Damage-Plasticity, Ph.D. dissertation, Cracow University of Technology, Cracow
• 24. Wosatko A., Pamin J., Winnicki A., 2006, Gradient damage in simulations of behaviour of RC bars and beams under static and impact loading, Archives of Civil Engineering, 52, 1, 455-477
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