A Non-local elasto-plastic model to describe localisations of deformation in concrete

• Autorzy: Bobiński J. , Tejchman J.
• Konferencja: 8th Workshop of the Polish Society of Computer Simulation (30.08-1.09.2001, Gdańsk-Sobieszewo, Poland)
• Języki publikacji: EN

Abstrakty

EN

The paper presents numerical simulations of behaviour of concrete elements subjected to uniaxial compression for plane strain. FE-calculations are performed with two different elasto-plastic constitutive laws for concrete. Numerical results obtained suffer from mesh sensivity due to the presence of material softening. To obtain a well-posed boundary problem and a mesh independent solution, conventional constitutive laws with softening require an extension (called regularisation) to describe properly the localisations of deformations. In this paper elasto-plastic constitutive laws are extended by non-local strain terms. Owing to them, localisations of deformations are realistically captured.

Słowa kluczowe

EN

concrete; localisation; non-local theory; elasto-plasticity; characteristic length

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2002
• Tom: Vol. 6, No 3
• Strony: 437--446
• Opis fizyczny: Bibliogr. 26 poz., rys.

Twórcy

autor

Bobiński J.

• Civil Engineering Department, Gdańsk University of Technology, Narutowicza 11/12, 80-952 Gdańsk, Poland
• Academic Computer Centre in Gdansk TASK, Narutowicza 11/12, 80-952 Gdańsk, Poland

autor

Tejchman J.

• Civil Engineering Department, Gdańsk University of Technology, Narutowicza 11/12, 80-952 Gdańsk, Poland

Bibliografia

• [1] Bazant Z P 1976 ASCE J. Eng. Mech. 102 331
• [2] de Borst R 1986 Non-linear Analysis of Frictional Materials, Dissertation, Delft University of Technology
• [3] de Borst R, Mulhaus H B, Pamin J and Sluys L Y 1992 Proc. 3ni Int. Conf. Comput. Plasticity, Pineridge Press, Swansea, Wales, U.K., pp. 483-508
• [4] Loret B and Prevost J H 1990 Comp. Appl. Mech. Eng. 83 247
• [5] Sluys L J and de Borst R 1991 Proc. Conf. on Fracture Processes in Concrete, Rock and Ceramics (Van Mier J, Rots J G and Bakker A, Eds.), Chapman and Hall, London pp 661- 671
• [6] Cosserat E and Cosserat F 1909 Theorie des Corps Deformables, Herman et fils Paris
• [7] Muhlhaus H B 1986 Ing. Arch. 56 389
• [8] Tejchman J and Wu W 1993 Acta Mechanica 99 61
• [9] de Borst R 1990 Proc. 2nd Int. Conf. Computer Aided Analysis and Design of Concrete Structures (Bicanic N and Mang H A, Eds.), Pineridge Press, Swansea, U.K., pp. 931-944
• [10] Tejchman J, Herle I and Wehr J 1999 Int. J. Num. Anal. Meth. Geomech 23 2045
• [11] Schreyer H L and Chen Z 1986 J. Appl. Mech. 53 791
• [12] Zbib H M and Aifantis C E 1989 Appl. Mech. Rev. 42 (11) 295
• [13] Muhlhaus H B and Aifantis E C 1991 Int. J. Solids Structures 28 845
• [14] de Borst R and Muhlhaus H B 1991 Proc. 4th Int. Conf. on Nonlinear Eng. Comp (Bicanic N Marovic P, Owen D R J, Jovic V and Mihanovid A, Eds.), Pineridge Press Swansea, UK, pp. 239-260
• [15] Sluys L J 1992 Wave Propagation, Localisation and Dispersion in Softening Solids Dissertation, Delft University of Technology
• [16] Eringen A C 1972 Int. J. Engng. Sci. 10 1
• [17] Eringen A C 1981 Int. J. Engng. Sci. 19 1461
• [18] Bazant Z P, Lin F B and Pijaudier-Cabot G 1987 Proc. Int. Conf. Comput. Plasticity (Owen, Hinton and Onate, Eds.), Barcelona, pp. 1757-1780
• [19] Brinkgrevc R B J 1994 Geomaterial Models and Numerical Analysis of Softening, Dissertation Delft University of Technology
• [20] Chen E P 1999 Int. J. Num. Anal. Meth. Geomech. 53 1
• [21] Stromberg L and Ristinmaa M 1996 Comp. Meth. Appl. Mech. Engng. 136 127
• [22] Marcher T and Vermeer P A 2001 Continuous and Discontinuous Modelling of Cohesive-Frictional Materials (Vermeer P A et al., Eds.), Springer-Verlag, pp. 89-110
• [23] 2000 Abaqus Standard User’s Manual Vol. 1 version 6.1, Hibbit, Karlsson and Sorensen Inc
• [24] 2000 Abaqus Theory Manual version 6.1, Hibbit, Karlsson and Sorensen Inc.
• [25] Hilleborg A, Modeer M and Petersson P E 1976 Cement and Concrete Research 123 (2) 770
• [26] Kupfer H B and Gerstle K H 1973 J. Engng. Mech. Div. ASCE 99 853